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illustrate Karpov's dominance over his peers as champion, his score was +11−2=20 versus Spassky, +5=12 versus Robert Hübner, +6−1=16 versus Ulf Andersson, +3−1=10 versus Vasily Smyslov, +1=16 versus Mikhail Tal, +10−2=13 versus Ljubojević. Karpov had cemented his position as the world's best player and world champion by the time Garry Kasparov arrived on the scene. In their first match, the World Chess Championship 1984 in Moscow, the first player to win six games would win the match. Karpov built a 4–0 lead after nine games. The next seventeen games were drawn, setting a record for world title matches, and it

Anatoly Karpov

took Karpov until game 27 to gain his fifth win. In game 31, Karpov had a winning position but failed to take advantage and settled for a draw. He lost the next game, after which fourteen more draws ensued. In particular, Karpov held a solidly winning position in Game 41, but again blundered and had to settle for a draw. After Kasparov won games 47 and 48, FIDE President Florencio Campomanes unilaterally terminated the match, citing the health of the players. The match had lasted an unprecedented five months, with five wins for Karpov, three for Kasparov, and forty draws.

Anatoly Karpov

A rematch was set for later in 1985, also in Moscow. The events of the so-called Marathon Match forced FIDE to return to the previous format, with a match limited to 24 games (with Karpov remaining champion if the match should finish 12–12). Karpov needed to win the final game to draw the match and retain his title, but wound up losing, thus surrendering the title to his opponent. The final score was 13–11 (+3−5=16), in favour of Kasparov. Karpov remained a formidable opponent (and the world No. 2) until the early 1990s. He fought Kasparov in three more world

Anatoly Karpov

championship matches in 1986 (held in London and Leningrad), 1987 (held in Seville), and 1990 (held in New York City and Lyon). All three matches were extremely close: the scores were 11½–12½ (+4−5=15), 12–12 (+4−4=16), and 11½–12½ (+3−4=17). In all three matches, Karpov had winning chances up to the very last games. In particular, the 1987 Seville match featured an astonishing blunder by Kasparov in the 23rd game. In the final game, needing only a draw to win the title, Karpov cracked under pressure from the clock at the end of the first session of play, missed a variation leading

Anatoly Karpov

to an almost forced draw, and allowed Kasparov to adjourn the game with an extra pawn. After a further mistake in the second session, Karpov was slowly ground down and resigned on move 64, ending the match and allowing Kasparov to keep the title. In their five world championship matches, Karpov scored 19 wins, 21 losses, and 104 draws in 144 games. Karpov is on record saying that if he had the opportunity to play Fischer for the crown in his twenties, he could have been a much better player as a result. In 1992, Karpov lost a Candidates Match

Anatoly Karpov

against Nigel Short. But in 1993, Karpov reacquired the FIDE World Champion title when Kasparov and Short split from FIDE. Karpov defeated Timman – the loser of the Candidates' final against Short. The next major meeting of Kasparov and Karpov was the 1994 Linares chess tournament. The field, in eventual finishing order, was Karpov, Kasparov, Shirov, Bareev, Kramnik, Lautier, Anand, Kamsky, Topalov, Ivanchuk, Gelfand, Illescas, Judit Polgár, and Beliavsky; with an average Elo rating of 2685, the highest ever at that time. Impressed by the strength of the tournament, Kasparov had said several days before the tournament that the winner

Anatoly Karpov

could rightly be called the world champion of tournaments. Perhaps spurred on by this comment, Karpov played the best tournament of his life. He was undefeated and earned 11 points out of 13 possible (the best world-class tournament winning percentage since Alekhine won San Remo in 1930), finishing 2½ points ahead of second-place Kasparov and Shirov. Many of his wins were spectacular (in particular, his win over Topalov is considered possibly the finest of his career). This performance against the best players in the world put his Elo rating tournament performance at 2985, the highest performance rating of any player

Anatoly Karpov

in history up until 2009, when Magnus Carlsen won the category XXI Pearl Spring chess tournament with a performance of 3002. However, chess statistician Jeff Sonas considered Karpov's Linares performance to be the best tournament result in history. Karpov defended his FIDE title against Gata Kamsky (+6−3=9) in 1996. However, in 1998, FIDE largely scrapped the old system of Candidates' Matches, instead having a large knockout event in which a large number of players contested short matches against each other over just a few weeks. In the first of these events, the FIDE World Chess Championship 1998, champion Karpov was

Anatoly Karpov

seeded straight into the final, defeating Viswanathan Anand (+2−2=2, rapid tiebreak 2–0). In the subsequent cycle, the format was changed, with the champion having to qualify. Karpov refused to defend his title, and ceased to be FIDE World Champion after the FIDE World Chess Championship 1999. Karpov's outstanding classical tournament play has been seriously limited since 1997, since he prefers to be more involved in the politics of his home country of Russia. He had been a member of the Supreme Soviet Commission for Foreign Affairs and the President of the Soviet Peace Fund before the Soviet Union dissolved. In

Anatoly Karpov

addition, he had been involved in several disputes with FIDE and became increasingly disillusioned with chess. In the September 2009 FIDE rating list, he dropped out of the world's Top 100 for the first time. Karpov usually limits his play to exhibition events, and has revamped his style to specialize in rapid chess. In 2002 he won a match against Kasparov, defeating him in a rapid time control match 2½–1½. In 2006, he tied for first with Kasparov in a blitz tournament, ahead of Viktor Korchnoi and Judit Polgár. Karpov and Kasparov played a mixed 12-game match from September 21–24,

Anatoly Karpov

2009, in Valencia, Spain. It consisted of four rapid (or semi rapid) and eight blitz games and took place exactly 25 years after the two players' legendary encounter at the World Chess Championship 1984. Kasparov won the match 9–3. Karpov played a match against Yasser Seirawan in 2012 in St. Louis, Missouri, an important center of the North American chess scene, with Karpov winning the match 8–6 (+5−3=6) . In November 2012, he won the Cap d'Agde rapid tournament which bears his name (Anatoly Karpov Trophy) by beating Vassily Ivanchuk (ranked 9th in the October 2012 FIDE world rankings) in

Anatoly Karpov

the final. Since 2005, he has been a member of the Public Chamber of Russia. He has recently involved himself in several humanitarian causes, such as advocating the use of iodised salt. On December 17, 2012, Karpov supported the law in the Russian Parliament banning adoption of Russian orphans by citizens of the US. Karpov expressed support of the annexation of Crimea by the Russian Federation, and accused Europe of trying to demonize Putin. In March 2010 Karpov announced that he would be a candidate for the presidency of FIDE. The election took place in September 2010 at the 39th

Anatoly Karpov

Chess Olympiad. In May a fund-raising event took place in New York with the participation of his former rival Garry Kasparov and of Magnus Carlsen, both of whom supported his bid and campaigned for him. Also Nigel Short announced he supported Karpov's candidacy. However, on September 29, 2010, Kirsan Ilyumzhinov was reelected as President of FIDE, winning the election by 95 votes to 55. Karpov's "boa constrictor" playing style is solidly positional, taking no risks but reacting mercilessly to any tiny errors made by his opponents. As a result, he is often compared to his idol, the famous José Raúl

Anatoly Karpov

Capablanca, the third World Champion. Karpov himself describes his style as follows:Let us say the game may be continued in two ways: one of them is a beautiful tactical blow that gives rise to variations that don't yield to precise calculations; the other is clear positional pressure that leads to an endgame with microscopic chances of victory... I would choose [the latter] without thinking twice. If the opponent offers keen play I don't object; but in such cases I get less satisfaction, even if I win, than from a game conducted according to all the rules of strategy with its

Anatoly Karpov

ruthless logic. Karpov's extensive stamp collection of Belgian philately and Belgian Congo stamps and postal history covering mail from 1742 through 1980 was sold by David Feldman's auction company between December 2011 and 2012. He is also known to have a large chess stamp and chess book collections. His private chess library consists of over 9000 books. Karpov has authored or co-authored several books, most of which have been translated into English. Anatoly Karpov Anatoly Yevgenyevich Karpov (; born May 23, 1951) is a Russian chess grandmaster and former World Champion. He was the official world champion from 1975 to

Anatoly Karpov

Aspect ratio The aspect ratio of a geometric shape is the ratio of its sizes in different dimensions. For example, the aspect ratio of a rectangle is the ratio of its longer side to its shorter sidethe ratio of width to height, when the rectangle is oriented as a "landscape". The aspect ratio is most often expressed as two integer numbers separated by a colon (x:y), less commonly as a simple or decimal fraction. The values x and y do not represent actual widths and heights but, rather, the proportion between width and height. As an example, 8:5, 16:10, 1.6:1,

Aspect ratio

and 1.6 are all ways of representing the same aspect ratio. In objects of more than two dimensions, such as hyperrectangles, the aspect ratio can still be defined as the ratio of the longest side to the shortest side. The term is most commonly used with reference to: For a rectangle, the aspect ratio denotes the ratio of the width to the height of the rectangle. A square has the smallest possible aspect ratio of 1:1. Examples: For an ellipse, the aspect ratio denotes the ratio of the major axis to the minor axis. An ellipse with an aspect ratio

Aspect ratio

of 1:1 is a circle. In geometry, there are several alternative definitions to aspect ratios of general compact sets in a d-dimensional space: If the dimension d is fixed, then all reasonable definitions of aspect ratio are equivalent to within constant factors. Aspect ratios are mathematically expressed as "x":"y" (pronounced "x-to-y"). Cinematographic aspect ratios are usually denoted as a (rounded) decimal multiple of width vs unit height, while photographic and videographic aspect ratios are usually defined and denoted by whole number ratios of width to height. In digital images there is a subtle distinction between the "display" aspect ratio (the

Aspect ratio

image as displayed) and the "storage" aspect ratio (the ratio of pixel dimensions); see Distinctions. Aspect ratio The aspect ratio of a geometric shape is the ratio of its sizes in different dimensions. For example, the aspect ratio of a rectangle is the ratio of its longer side to its shorter sidethe ratio of width to height, when the rectangle is oriented as a "landscape". The aspect ratio is most often expressed as two integer numbers separated by a colon (x:y), less commonly as a simple or decimal fraction. The values x and y do not represent actual widths and

Aspect ratio

Auto racing Auto racing (also known as car racing, motor racing, or automobile racing) is a motorsport involving the racing of automobiles for competition. Auto racing has existed since the invention of the automobile. Races of various sorts were organised, with the first recorded as early as 1867. Many of the earliest events were effectively reliability trials, aimed at proving these new machines were a practical mode of transport, but soon became an important way for competing makers to demonstrate their machines. By the 1930s, specialist racing cars had developed. There are now numerous different categories, each with different rules

Auto racing

and regulations. The first prearranged match race of two self-powered road vehicles over a prescribed route occurred at 4:30 A.M. on August 30, 1867, between Ashton-under-Lyne and Old Trafford, a distance of eight miles. It was won by the carriage of Isaac Watt Boulton. Internal combustion auto racing events began soon after the construction of the first successful gasoline-fueled automobiles. The first organized contest was on April 28, 1887, by the chief editor of Paris publication "Le Vélocipède", Monsieur Fossier. It ran from Neuilly Bridge to the Bois de Boulogne. On July 22, 1894, the Parisian magazine "Le Petit Journal"

Auto racing

organized what is considered to be the world's first motoring competition, from Paris to Rouen. One hundred and two competitors paid a 10-franc entrance fee. The first American automobile race is generally held to be the Thanksgiving Day "Chicago Times-Herald" race of November 28, 1895. Press coverage of the event first aroused significant American interest in the automobile. With auto construction and racing dominated by France, the French automobile club ACF staged a number of major international races, usually from or to Paris, connecting with another major city, in France or elsewhere in Europe. Brooklands, in Surrey, was the first

Auto racing

purpose-built motor racing venue, opening in June 1907. It featured a concrete track with high-speed banked corners. One of the oldest existing purpose-built automobile racing circuits in the United States, still in use, is the Indianapolis Motor Speedway in Speedway, Indiana. It is the largest capacity sports venue of any variety worldwide, with a top capacity of some 257,000+ seated spectators. NASCAR was founded by Bill France, Sr. on February 21, 1948, with the help of several other drivers of the time. The first NASCAR "Strictly Stock" race ever was held on June 19, 1949, at Daytona Beach, Florida. From

Auto racing

1962, sports cars temporarily took a back seat to GT cars, with the FIA replacing the World Championship for Sports Cars with the International Championship for GT Manufacturers. From 1972 through 2003, NASCAR's premier series was called the Winston Cup Series, sponsored by R. J. Reynolds Tobacco Company cigarette brand Winston. The changes that resulted from RJR's involvement, as well as the reduction of the schedule from 48 to 31 races a year, established 1972 as the beginning of NASCAR's "modern era". The IMSA GT Series evolved into the American Le Mans Series, which ran its first season in 1999.

Auto racing

The European races eventually became the closely related Le Mans Series, both of which mix prototypes and GTs. Turismo Carretera (Road racing, lit., Road Touring) is a popular touring car racing series in Argentina, and the oldest car racing series still active in the world. The first TC competition took place in 1937 with 12 races, each in a different province. Future Formula One star Juan Manuel Fangio (Chevrolet) won the 1940 and 1941 editions of the TC. It was during this time that the series' Chevrolet-Ford rivalry began, with Ford acquiring most of its historical victories. The two most

Auto racing

popular varieties of open wheel road racing are Formula One and the IndyCar Series. Formula One is a European-based series that runs only street circuit and race tracks. These cars are heavily based around technology and their aerodynamics. With the highest speed record set in 2005 by Juan Pablo Montoya hitting 373 kph (232 mph). Some of the most prominent races are the Monaco Grand Prix, the Italian Grand Prix, and the British Grand Prix. The season ends with the crowning of the World Championship for drivers and constructors. In single-seater (open-wheel), the wheels are not covered, and the cars

Auto racing

often have aerofoil wings front and rear to produce downforce and enhance adhesion to the track. In Europe and Asia, open-wheeled racing is commonly referred to as 'Formula', with appropriate hierarchical suffixes. In North America, the 'Formula' terminology is not followed (with the exception of F1). The sport is usually arranged to follow an international format (such as F1), a regional format (such as the Formula 3 Euro Series), and/or a domestic, or country-specific, format (such as the German Formula 3 championship, or the British Formula Ford). In the United States, the most popular series is the National Championship, more

Auto racing

commonly known as the IndyCar Series and previously known as CART. The cars have traditionally been similar though less technologically sophisticated than F1 cars, with more restrictions on technology aimed at controlling costs. While these cars are not as technologically advanced, they are faster, mainly because they compete on oval race tracks, being able to average a lap at 388 kph (241 mph). The series' biggest race is the Indianapolis 500, which is commonly referred to as "The Greatest Spectacle in Racing" due to being the longest continuously run race and having the largest crowd for a single-day sporting event

Auto racing

(350,000+). The other major international single-seater racing series is Formula 2 (formerly known as Formula 3000 and GP2 Series). Regional series include Formula Nippon and Formula V6 Asia (specifically in Asia), Formula Renault 3.5 (also known as the World Series by Renault, succession series of World Series by Nissan), Formula Three, Formula Palmer Audi and Formula Atlantic. In 2009, the FIA Formula Two Championship brought about the revival of the F2 series. Domestic, or country-specific, series include Formula Three and Formula Renault, with the leading introductory series being Formula Ford. Single-seater racing is not limited merely to professional teams and

Auto racing

drivers. There exist many amateur racing clubs. In the UK, the major club series are the Monoposto Racing Club, BRSCC F3 (Formerly ClubF3, formerly ARP F3), Formula Vee and Club Formula Ford. Each series caters for a section of the market, with some primarily providing low-cost racing, while others aim for an authentic experience using the same regulations as the professional series (BRSCC F3). There are other categories of single-seater racing, including kart racing, which employs a small, low-cost machine on small tracks. Many of the current top drivers began their careers in karts. Formula Ford represents the most popular

Auto racing

first open-wheel category for up-and-coming drivers stepping up from karts. The series is still the preferred option, as it has introduced an aero package and slicks, allowing the junior drivers to gain experience in a race car with dynamics closer F1. The Star Mazda Series is another entry-level series. Students at colleges and universities can also take part in single-seater racing through the Formula SAE competition, which involves designing and building a single-seater car in a multidisciplinary team and racing it at the competition. This also develops other soft skills, such as teamwork, while promoting motorsport and engineering. The world's

Auto racing

first all-female Formula racing team was created in 2006. The group was an assemblage of drivers from different racing disciplines and formed for an MTV reality pilot, which was shot at Mazda Raceway Laguna Seca. In December 2005, the FIA gave approval to Superleague Formula racing, which debuted in 2008, whereby the racing teams are owned and run by prominent sports clubs such as A.C. Milan and Liverpool F.C. After 25 years away from the sport, former Formula 2 champion Jonathan Palmer reopened the F2 category again; most drivers have graduated from the Formula Palmer Audi series. The category is

Auto racing

officially registered as the FIA Formula Two championship. Most rounds have two races and are support races to the FIA World Touring Car Championship. Touring car racing is a style of road racing that is run with production-derived race cars. It often features full-contact racing due to the small speed differentials and large grids. The major touring car championships conducted worldwide are the Supercars Championship (Australia), British Touring Car Championship, Deutsche Tourenwagen Masters (DTM), and the World Touring Car Championship. The European Touring Car Cup is a one-day event open to Super 2000 specification touring cars from Europe's many national

Auto racing

championships. The Sports Car Club of America's SPEED World Challenge Touring Car and GT championships are dominant in North America. America's historic Trans-Am Series is undergoing a period of transition, but is still the longest-running road racing series in the U.S. The National Auto Sport Association also provides a venue for amateurs to compete in home-built factory-derived vehicles on various local circuits. In sports car racing, production-derived versions of sports cars, also known as grand tourers (GTs), and purpose-built sports prototype cars compete within their respective classes on closed circuits. The premier championship series of sports car racing is the

Auto racing

FIA World Endurance Championship. The main series for GT car racing is the FIA GT1 World Championship. There is also the FIA GT3 European Championship as well as the less powerful GT4 European Cup. Previously, an intermediate FIA GT2 European Championship existed, but the FIA dropped it to cut costs. Other major GT championships include the Japanese Super GT championship and the International GT Open for GT2 and GT3 cars. There are also national GT championships using mainly GT3 and GT4 cars featuring professional and amateur drivers alike. Sports prototypes, unlike GT cars, do not rely on road-legal cars as

Auto racing

a base. They are closed-wheel and often closed-cockpit purpose-built race cars intended mainly for endurance racing. They have much lower weight and more down force compared to GT cars, making them much faster. They are raced in the 24 hours of Le Mans (held annually since 1923) and in the (European) Le Mans series, Asian Le Mans Series and the WeatherTech SportsCar Championship. These cars are referred to as LMP (Le Mans prototype) cars with LMP1 being run mainly by manufacturers and the slightly less powerful LMP2 cars run by privateer teams. All three Le Mans Series run GT cars

Auto racing

in addition to Le Mans Prototypes; these cars have different restrictions than the FIA GT cars. Another prototype and GT racing championship exists in the United States; the Grand-Am, which began in 2000, sanctions its own endurance series, the Rolex Sports Car Series, which consists of slower and lower-cost race cars compared to LMP and FIA GT cars. The Rolex Sports Car Series and American Le Mans Series announced a merger between the two series forming the WeatherTech SportsCar Championship starting in 2014. These races are often conducted over long distances, at least , and cars are driven by teams

Auto racing

of two or more drivers, switching every few hours. Due to the performance difference between production-based sports cars and purpose-built sports prototypes, one race usually involves several racing classes, each fighting for their own championship. Famous sports car races include the 24 Hours of Le Mans, the Rolex 24 at Daytona, 24 Hours of Spa-Franchorchamps, the 12 Hours of Sebring, the 6 Hours of Watkins Glen, and the Petit Le Mans at Road Atlanta. There is also the 24 Hours of the Nürburgring on the infamous Nordschleife track and the Dubai 24 Hour, which is aimed at GT3 and below

Auto racing

cars with a mixture of professional and pro-am drivers. Production-car racing, otherwise known as "showroom stock" in the US, is an economical and rules-restricted version of touring-car racing, mainly used to restrict costs. Numerous production racing categories are based on particular makes of cars. Most series follow the Group N regulation with a few exceptions. There are several different series that are run all over the world, most notably, Japan's Super Taikyu and IMSA's Firehawk Series, which ran in the 1980s and 1990s all over the United States. One-make, or single marque, championships often employ production-based cars from a single

Auto racing

manufacturer or even a single model from a manufacturer's range. There are numerous notable one-make formulae from various countries and regions, some of which – such as the Porsche Supercup and, previously, IROC – have fostered many distinct national championships. Single marque series are often found at club level, to which the production-based cars, limited modifications, and close parity in performance are very well suited. Some of the better-known single-make series are the Mini 7 Championship (Europe's longest-running one make championship), the Radical European Masters, John Cooper Mini Challenge, Clio Cup, Ginettas, Caterhams, BMWs, and MX5s. There are also single-chassis

Auto racing

single seater formulae, such as Formula Renault and Formula BMW, usually as "feeder" series for "senior" race formula (in the fashion of farm teams). In North America, stock car racing is the most popular form of auto racing. Primarily raced on oval tracks, stock cars vaguely resemble production cars, but are in fact purpose-built racing machines that are built to tight specifications and, together with touring cars, also called Silhouette racing cars. The largest stock car racing governing body is NASCAR (National Association for Stock Car Auto Racing). NASCAR's premier series is the Monster Energy Cup Series, its most famous

Auto racing

races being the Daytona 500, the Southern 500, the Coca-Cola 600, and the Brickyard 400. NASCAR also runs several feeder series, including the Xfinity Series and Camping World Truck Series (a pickup truck racing series). The series conduct races across the entire continental United States. The NASCAR Pinty's Series conducts races across Canada and the NASCAR PEAK Mexico Series conducts races across Mexico. NASCAR also governs several smaller regional series, such as the Whelen Modified Tour. Modified cars are best described as open-wheel cars. Modified cars have no parts related to the stock vehicle for which they are named after.

Auto racing

A number of modified cars display a "manufacturer's" logo and "vehicle name", yet use components produced by another automobile manufacturer. There are also other stock car governing bodies, most notably the Automobile Racing Club of America (ARCA). In the UK, British Stock car racing is also referred to as "Short Circuit Racing". This takes place on shale or tarmac tracks – usually around 1/4 mile long. The governing bodies for the sport are the Oval Racing Council (ORC) and BriSCA. Both bodies are made up of individual stadium promoters. There are around 35 tracks in the UK and upwards of

Auto racing

7000 active drivers. The sport is split into three basic divisions – distinguished by the rules regarding car contact during racing. The most famous championship is the BriSCA F1 Stock Cars. Full-contact formulas include Bangers, Bombers and Rookie Bangers – and racing features Demolitions Derbies, Figure of Eight racing and Oval Racing. Semi Contact Formulas include BriSCA F1, F2 and Superstox – where bumpers are used tactically. Non-contact formulas include National Hot Rods, Stock Rods and Lightning Rods. UK Stock car racing started in the 1950s and grew rapidly through the 1960s and 1970s. Rallying at international and most national

Auto racing

championship levels involves two classes of homologated road-legal production-based cars; Group N production cars and more modified Group A cars. Cars compete on closed public roads or off-road areas on a point-to-point format where participants and their co-drivers "rally" to a set of points, leaving in regular intervals from start points. A rally is typically conducted over a number of "special stages" on any terrain, which entrants are often allowed to scout beforehand at reduced speeds compiling detailed shorthand descriptions of the track or road as they go. These detailed descriptions are known as pace notes. During the actual rally,

Auto racing

the co-driver reads the pace notes aloud (using an in-helmet intercom system) to the driver, enabling them to complete each stage as quickly as possible. Competition is based on lowest total elapsed time over the course of an event's special stages, including penalties. The top series is the World Rally Championship (WRC), first contested in 1973, but there are also regional championships, and many countries have their own national championships. Some famous rallies include the Monte Carlo Rally, Rally Argentina, Rally Finland and Rally GB. Another famous event (actually best described as a rally raid) is the Paris-Dakar Rally, conceived

Auto racing

in 1978. There are also many smaller, club level, categories of rallies, which are popular with amateurs, making up the "grass roots" of motor sports. Cars at this level may not comply fully with the requirements of group A or group N homologation. Other major rally events include the British Rally Championship, Intercontinental Rally Challenge, African Rally Championship, Asia-Pacific Rally Championship and endurance rally events like the Dakar Rally. The Targa Tasmania, held on the Australian island state of Tasmania and run annually since 1992, takes its name from the Targa Florio, a former motoring event held on the island

Auto racing

of Sicily. The competition concept is drawn directly from the best features of the Mille Miglia, the Coupe des Alpes and the Tour de Corse. Similarly named events around the world include the Targa Newfoundland based in Canada, Targa West based in Western Australia, Targa New Zealand and other smaller events. In drag racing, the objective is to complete a given straight-line distance, from a standing start, ahead of a vehicle in a parallel lane. This distance is traditionally , though has become popular since the 1990s. The vehicles may or may not be given the signal to start at

Auto racing

the same time, depending on the class of racing. Vehicles range from the everyday car to the purpose-built dragster. Speeds and elapsed time differ from class to class. Average street cars cover the ¼ mile in 12 to 16 seconds, whereas a top fuel dragster takes 4.5 seconds or less, reaching speeds of up to . Drag racing was organized as a sport by Wally Parks in the early 1950s through the NHRA (National Hot Rod Association). The NHRA was formed to discourage street racing. When launching, a top fuel dragster will accelerate at 3.4 g (33 m/s²), and when

Auto racing

braking parachutes are deployed the deceleration is 4 g (39 m/s²), more than the Space Shuttle experiences. A top fuel car can be heard over away and can generate a reading from 1.5 to 3.9 on the Richter scale. Drag racing is two cars head-to-head, the winner proceeding to the next round. Professional classes are all first to the finish line wins. Sportsman racing is handicapped (slower car getting a head start) using an index (a lowest e.t. allowed), and cars running under (quicker than) their index "break out" and lose. The slowest cars, bracket racers, are also handicapped, but

Auto racing

rather than an index, they use a dial-in. In off-road racing, various classes of specially modified vehicles, including cars, compete in races through off-road environments. In North America these races often take place in the desert, such as the famous Baja 1000. Another format for off-road racing happens on closed-course short course tracks such as Crandon International Off-Road Raceway. In the 1980s and 1990s, short course was extended to racing inside stadiums in the Mickey Thompson Entertainment Group; this format was revived by Robby Gordon in 2013 with his Speed Energy Formula Off-Road series. In Europe, "offroad" refers to events

Auto racing

such as autocross or rallycross, while desert races and rally-raids such as the Paris-Dakar, Master Rallye or European "bajas" are called "cross-country rallies." The modern kart was invented by Art Ingels, a fabricator at the Indianapolis-car manufacturer Kurtis-Kraft, in Southern California in 1956. Ingels took a small chainsaw engine and mounted it to a simple tube-frame chassis weighing less than 100 lb. Ingels, and everyone else who drove the kart, were startled at its performance capabilities. The sport soon blossomed in Southern California, and quickly spread around the world. Although often seen as the entry point for serious racers into

Auto racing

the sport, kart racing, or karting, can be an economical way for amateurs to try racing and is also a fully fledged international sport in its own right. A large proportion of professional racing drivers began in karts, often from a very young age, such as Michael Schumacher and Fernando Alonso. Several former motorcycle champions have also taken up the sport, notably Wayne Rainey, who was paralysed in a racing accident and now races a hand-controlled kart. As one of the cheapest ways to race, karting is seeing its popularity grow worldwide. Despite their diminutive size, karting's most powerful class,

Auto racing

superkart, can have a power-to-weight ratio of 440 hp/tonne. As modern motor racing is centered on modern technology with a lots of corporate sponsors and politics involved, historical racing tends to be the opposite. Because it is based on a particular era it is more hobbyist oriented, reducing corporate sponsorship and politics. Events are regulated to only allow cars of a certain era to participate. The only modern equipment used is related to safety and timing. A historical event can be of a number of different motorsport disciplines. Notably some of the most famous events of them all are the

Auto racing

Goodwood Festival of Speed and Goodwood Revival in Britain and Monterey Historic in the United States. Championships range from "grass root" Austin Seven racing to the FIA Thoroughbred Grand Prix Championship for classic Formula One chassis. While there are several professional teams and drivers in historical racing, this branch of auto sport tends to be contested by wealthy car owners and is thus more amateur and less competitive in its approach. In many types of auto races, particularly those held on closed courses, flags are displayed to indicate the general status of the track and to communicate instructions to competitors.

Auto racing

While individual series have different rules, and the flags have changed from the first years (e.g., red used to start a race), these are generally accepted. The worst accident in racing history is the 1955 Le Mans disaster, where more than 80 people died, including the French driver Pierre Levegh. In auto racing, the racing setup or car setup is the set of adjustments made to the vehicle to optimize its behaviour (performance, handling, reliability, etc.). Adjustments can occur in suspensions, brakes, transmissions, engines, tires, and many others. Aerodynamics and airflow play big roles in the setup of a racecar.

Auto racing

Aerodynamic downforce improves the race car's handling by lowering the center of gravity and distributing the weight of the car equally on each tire. Once this is achieved, fuel consumption decreases and the forces against the car are significantly lowered. Many aerodynamic experiments are conducted in wind tunnels, to simulate real life situations while measuring the various drag forces on the car. These “Rolling roads” produce many wind situations and direct air flow at certain speeds and angles. When a diffuser is installed under the car, the amount of drag force is significantly lowered, and the overall aerodynamics of the

Auto racing

vehicle is positively adjusted. Wings and canards channel the airflow in the most efficient way to get the least amount of drag from the car. It is experimentally proven that downforce is gained and the vehicles handling is considerably changed when aerodynamic wings on the front and rear of the vehicle are installed. Suspension plays a huge part in giving the racecar the ability to be driven optimally. Shocks are mounted vertically or horizontally to prevent the body from rolling in the corners. The suspension is important because it makes the car stable and easier to control and keeps the

Auto racing

tires on the road when driving on uneven terrain. It works in three different ways including vertically, longitudinally, and laterally to control movement when racing on various tracks. Tires called R-Compounds are commonly used in motorsports for high amounts of traction. The soft rubber allows them to expand when they are heated up, making more surface area on the pavement, therefore producing the most amount of traction. These types of tires do not have treads on them. Tire pressure is dependent on the temperature of the tire and track when racing. Each time a driver pulls into the pits, the

Auto racing

tire pressure and temperature should be tested for optimal performance. When the tires get too hot they will swell or inflate and need to be deflated to the correct pressure. When the tires are not warmed up they will not perform as well. Brakes on a race car are imperative in slowing and stopping the car at precise times and wear quickly depending on the road or track on which the car is being raced, how many laps are being run, track conditions due to weather, and how many caution runs require more braking. There are three variables to consider

Auto racing

in racing: brake pedal displacement, brake pedal force, and vehicle deceleration. Various combinations of these variables work together to determine the stiffness, sensitivity, and pedal force of the brakes. When using the brakes effectively, the driver must go through a buildup phase and end with a modulating phase. These phases include attaining maximum deceleration and modulating the brake pressure. Brake performance is measured in bite and consistency. Bite happens when the driver first applies the brakes and they have not warmed up to the correct temperature to operate efficiently. Consistency is measured in how consistent the friction is during the

Auto racing

entire time of braking. These two measurements determine the wear of the brakes. The race car's engine needs a considerable amount of air to produce maximum power. The air intake manifold sucks the air from scoops on the hood and front bumper and feeds it into the engine. Many engine modifications to increase horsepower and efficiency are commonly used in many racing sanctioning bodies. Engines are tuned on a machine called a dynamometer that is commonly known in the racing world as a DYNO. The car is driven onto the DYNO and many gauges and sensors are hooked up to

Auto racing

the car that are controlled on an online program to test force, torque, or power. Through the testing, the car's engine maps can be changed to get the most amount of horsepower and ultimately speed out of the vehicle. Racing drivers at the highest levels are usually paid by the team, or by sponsors, and can command very substantial salaries. Contrary to what may be popularly assumed, racing drivers as a group do not have unusually better reflexes or peripheral response time. During repeated physiological (and psychological) evaluations of professional racing drivers, the two characteristics that stand out are racers'

Auto racing

near-obsessive need to control their surroundings (the psychological aspect), and an unusual ability to process fast-moving information (physiological). In this, researchers have noted a strong correlation between racers' psychological profiles and those of fighter pilots. In tests comparing racers to members of the general public, the greater the complexity of the information processing matrix, the greater the speed gap between racers and the public . Due partly to the performance capabilities of modern racing cars, racing drivers require a high level of fitness, focus and the ability to concentrate at high levels for long periods in an inherently difficult environment.

Auto racing

Racing drivers mainly complain about pains in the lumbar, shoulder and neck regions. Racing drivers experience extremely large g-forces because formula cars and sports prototypes generate more downforce and are able to corner at significantly higher speeds. Formula 1 drivers routinely experience g-loadings in excess of 4.5 g. Auto racing Auto racing (also known as car racing, motor racing, or automobile racing) is a motorsport involving the racing of automobiles for competition. Auto racing has existed since the invention of the automobile. Races of various sorts were organised, with the first recorded as early as 1867. Many of the earliest

Auto racing

Anarcho-capitalism Anarcho-capitalism is a political philosophy and school of anarchist thought that advocates the elimination of centralized state dictum in favor of self-ownership, private property and free markets. Anarcho-capitalists hold that in the absence of statute (law by arbitrary autocratic decrees, or bureaucratic legislation swayed by transitory political special interest groups), society tends to contractually self-regulate and civilize through the spontaneous and organic discipline of the free market (in what its proponents describe as a "voluntary society"). In an anarcho-capitalist society, law enforcement, courts and all other security services would be operated by privately funded competitors selected by consumers rather

Anarcho-capitalism

than centrally through confiscatory taxation. Money, along with all other goods and services, would be privately and competitively provided in an open market. Personal and economic activities under anarcho-capitalism would therefore be regulated by victim-based dispute resolution organizations under tort and contract law, rather than by statute through centrally determined punishment under political monopolies, which tend to become corrupt in proportion to their monopolization. Various theorists have espoused legal philosophies similar to anarcho-capitalism. However, the first person to use the term was Murray Rothbard who, in the mid-20th century, synthesized elements from the Austrian School of economics, classical liberalism and

Anarcho-capitalism

19th-century American individualist anarchists Lysander Spooner and Benjamin Tucker (while rejecting their labor theory of value and the norms they derived from it). A Rothbardian anarcho-capitalist society would operate under a mutually agreed-upon libertarian "legal code which would be generally accepted, and which the courts would pledge themselves to follow". This pact would recognize self-ownership, property, contracts, and tort law, in keeping with the universal non-aggression principle (NAP). Anarcho-capitalists are distinguished from minarchists, who advocate a small Jeffersonian night-watchman state limited to protecting individuals and their properties from foreign and domestic aggression; and from other anarchists who seek to prohibit

Anarcho-capitalism

or regulate the accumulation of private property and the flow of capital. Anarcho-capitalists argue for a society based on the voluntary trade of private property and services (in sum, all relationships not caused by threats or violence, including exchanges of money, consumer goods, land and capital goods) in order to minimize conflict while maximizing individual liberty and prosperity. However, they also recognize charity and communal arrangements as part of the same voluntary ethic. Although anarcho-capitalists are known for asserting a right to private (individualized or joint non-public) property, some propose that non-state public or community property can also exist in

Anarcho-capitalism

an anarcho-capitalist society. For them, what is important is that it is acquired and transferred without help or hindrance from the compulsory state. Anarcho-capitalist libertarians believe that the only just and most economically beneficial way to acquire property is through voluntary trade, gift, or labor-based original appropriation, rather than through aggression or fraud. Anarcho-capitalists see free market capitalism as the basis for a free and prosperous society. Murray Rothbard said that the difference between free market capitalism and "state capitalism" is the difference between "peaceful, voluntary exchange" and a collusive partnership between business and government that uses coercion to subvert

Anarcho-capitalism

the free market (Rothbard is credited with coining the term "anarcho-capitalism"). "Capitalism", as anarcho-capitalists employ the term, is not to be confused with state monopoly capitalism, crony capitalism, corporatism, or contemporary mixed economies, wherein market incentives and disincentives may be altered by state action. They therefore reject the state, seeing it as an entity which steals property (through taxation and expropriation), initiates aggression, has a compulsory monopoly on the use of force, uses its coercive powers to benefit some businesses and individuals at the expense of others, creates artificial monopolies, restricts trade and restricts personal freedoms via drug laws, compulsory

Anarcho-capitalism

education, conscription, laws on food and morality and the like. Many anarchists view capitalism as an inherently authoritarian and hierarchical system and seek the expropriation of private property. There is disagreement between these left anarchists and "laissez-faire" anarcho-capitalists as the former generally rejects anarcho-capitalism as a form of anarchism and considers anarcho-capitalism an oxymoron, while the latter holds that such expropriation is counterproductive to order and would require a state. On the Nolan chart, anarcho-capitalists are located at the extreme edge of the libertarian quadrant since they reject state involvement in both economic and personal affairs. Anarcho-capitalists argue that the

Anarcho-capitalism

state relies on initiating force because force can be used against those who have not stolen private property, vandalized private property, assaulted anyone, or committed fraud. Many also argue that subsidized monopolies tend to be corrupt and inefficient. Murray Rothbard argued that all government services, including defense, are inefficient because they lack a market-based pricing mechanism regulated by the voluntary decisions of consumers purchasing services that fulfill their highest-priority needs and by investors seeking the most profitable enterprises to invest in. Many anarcho-capitalists also argue that private defense and court agencies would have to have a good reputation in order

Anarcho-capitalism

to stay in business. Furthermore, Linda and Morris Tannehill argue that no coercive monopoly of force can arise on a truly free market and that a government's citizenry can not desert them in favor of a competent protection and defense agency. Rothbard bases his philosophy on natural law grounds and also provides economic explanations of why he thinks anarcho-capitalism is preferable on pragmatic grounds as well. David D. Friedman says he is not an absolutist rights theorist, but is also "not a utilitarian". However, he does believe that "utilitarian arguments are usually the best way to defend libertarian views". Peter

Anarcho-capitalism

Leeson argues that "the case for anarchy derives its strength from empirical evidence, not theory". Hans-Hermann Hoppe instead uses "argumentation ethics" for his foundation of "private property anarchism", which is closer to Rothbard's natural law approach: While the Friedmanian formulation of anarcho-capitalism is robust to the presence of violence and in fact assumes some degree of violence will occur, anarcho-capitalism as formulated by Rothbard and others holds strongly to the central libertarian nonaggression axiom: Rothbard's defense of the self-ownership principle stems from what he believed to be his falsification of all other alternatives, namely that either a group of people

Anarcho-capitalism

can own another group of people, or the other alternative, that no single person has full ownership over one's self. Rothbard dismisses these two cases on the basis that they cannot result in a universal ethic, i.e. a just natural law that can govern all people, independent of place and time. The only alternative that remains to Rothbard is self-ownership, which he believes is both axiomatic and universal. In general, the nonaggression axiom can be said to be a prohibition against the initiation of force, or the threat of force, against persons (i.e. direct violence, assault, murder) or property (i.e.

Anarcho-capitalism

fraud, burglary, theft and taxation). The initiation of force is usually referred to as aggression or coercion. The difference between anarcho-capitalists and other libertarians is largely one of the degree to which they take this axiom. Minarchist libertarians, such as most people involved in libertarian political parties, would retain the state in some smaller and less invasive form, retaining at the very least public police, courts and military. However, others might give further allowance for other government programs. In contrast, anarcho-capitalists reject any level of state intervention, defining the state as a coercive monopoly and—as the only entity in human

Anarcho-capitalism

society that derives its income from legal aggression—an entity that inherently violates the central axiom of libertarianism. Some anarcho-capitalists, such as Rothbard, accept the nonaggression axiom on an intrinsic moral or natural law basis. It is in terms of the non-aggression principle that Rothbard defined anarchism, "a system which provides no legal sanction for such aggression ['against person and property']"; and said that "what anarchism proposes to do, then, is to abolish the State, i.e. to abolish the regularized institution of aggressive coercion". In an interview published in the libertarian journal "New Banner", Rothbard said that "capitalism is the fullest

Anarcho-capitalism

expression of anarchism, and anarchism is the fullest expression of capitalism". Central to Rothbardian anarcho-capitalism are the concepts of self-ownership and original appropriation that combines personal and private property: This is the root of anarcho-capitalist property rights and where they differ from collectivist forms of anarchism such as anarcho-communism, where the means of production are controlled by the whole community and the product of labor is collectivized in a pool of goods and distributed "according to need" (which is to be determined and enforced collectively). Anarcho-capitalists advocate individual or joint (i.e. private) ownership of the means of production and the

Anarcho-capitalism

product of labor regardless of what the individual "needs" or does not "need". As Rothbard says, "if every man has the right to own his own body and if he must use and transform material natural objects in order to survive, then he has the right to own the product that he has made". After property is transformed through labor, it may then only exchange hands legitimately by trade or gift—forced transfers are considered illegitimate. Original appropriation allows an individual to claim any never-before used resources, including land and by improving or otherwise using it, own it with the same

Anarcho-capitalism

"absolute right" as his own body. According to Rothbard, property can only come about through labor, therefore original appropriation of land is not legitimate by merely claiming it or building a fence around it—it is only by using land and by mixing one's labor with it that original appropriation is legitimized: "Any attempt to claim a new resource that someone does not use would have to be considered invasive of the property right of whoever the first user will turn out to be". Rothbard argues that the resource need not continue to be used in order for it to be

Anarcho-capitalism

the person's property as "for once his labor is mixed with the natural resource, it remains his owned land. His labor has been irretrievably mixed with the land, and the land is therefore his or his assigns' in perpetuity". As a practical matter, in terms of the ownership of land anarcho-capitalists recognize that there are few (if any) parcels of land left on Earth whose ownership was not at some point in time obtained in violation of the homestead principle, through seizure by the state or put in private hands with the assistance of the state. Rothbard says: Rothbard says

Anarcho-capitalism

in "Justice and Property Right" that "any identifiable owner (the original victim of theft or his heir) must be accorded his property". In the case of slavery, Rothbard says that in many cases "the old plantations and the heirs and descendants of the former slaves can be identified, and the reparations can become highly specific indeed". He believes slaves rightfully own any land they were forced to work on under the "homestead principle". If property is held by the state, Rothbard advocates its confiscation and return to the private sector, saying that "any property in the hands of the State

Anarcho-capitalism

is in the hands of thieves, and should be liberated as quickly as possible". For example, he proposes that state universities be seized by the students and faculty under the homestead principle. Rothbard also supports expropriation of nominally "private property" if it is the result of state-initiated force, such as businesses who receive grants and subsidies. He proposes that businesses who receive at least 50% of their funding from the state be confiscated by the workers. He says: "What we libertarians object to, then, is not government per se but crime, what we object to is unjust or criminal property

Anarcho-capitalism

titles; what we are for is not 'private' property per se but just, innocent, non-criminal private property". Likewise, Karl Hess says that "libertarianism wants to advance principles of property but that it in no way wishes to defend, willy nilly, all property which now is called private [...] Much of that property is stolen. Much is of dubious title. All of it is deeply intertwined with an immoral, coercive state system". By accepting an axiomatic definition of private property and property rights, anarcho-capitalists deny the legitimacy of a state on principle: Although anarcho-capitalists assert a right to private property, some

Anarcho-capitalism

anarcho-capitalists also point out that common, i.e. community, property can exist by right in an anarcho-capitalist system. Just as an individual comes to own that which was unowned by mixing his labor with it or using it regularly, a whole community or society can come to own a thing in common by mixing their labor with it collectively, meaning that no individual may appropriate it as his own. This may apply to roads, parks, rivers and portions of oceans. Anarchist theorist Roderick T. Long gives the following example: Nevertheless, since property that is owned collectively tends to lose the level

Anarcho-capitalism

of accountability found in individual ownership to the extent of the number of owners—and make consensus regarding property use and maintenance decisions proportionately less likely—anarcho-capitalists generally distrust and seek to avoid intentional communal arrangements. Privatization, decentralization and individualization are often anarcho-capitalist goals. However, in some cases they not only provide a challenge, but are considered next to impossible. Established ocean routes, for example, are generally seen as unavailable for private appropriation. Anarcho-capitalists tend to concur with free market environmentalists regarding the environmentally destructive tendencies of the state and other communal arrangements. Air, water and land pollution, for example, are seen

Anarcho-capitalism

as the result of collectivization of ownership. Central governments generally strike down individual or class action censure of polluters in order to benefit "the many" and legal or economic subsidy of heavy industry is justified by many politicians for job creation within a political territory. The Austrian School of economics argued against the viability of socialism and centrally planned economic policy. Eugen von Böhm-Bawerk, a colleague of Austrian school founder Carl Menger, wrote one of the first critiques of socialism in his treatise "The Exploitation Theory of Socialism-Communism". Later, Friedrich von Hayek wrote "The Road to Serfdom" (1944), which states

Anarcho-capitalism

that a command economy lacks the information function of market prices and that central authority over the economy leads to totalitarianism. Another Austrian economist, Ludwig von Mises, wrote "Human Action", an early exposition of the method he called praxeology. Rothbard attempted to meld Austrian economics with classical liberalism and individualist anarchism. He wrote his first paper advocating "private property anarchism" in 1949 and later came up with the alternative name "anarcho-capitalism". He was probably the first to use "libertarian" in its current United States pro-capitalist sense. His academic training was in economics, but his writings also refer to history and

Anarcho-capitalism

political philosophy. When young, he considered himself part of the Old Right, an anti-statist and anti-interventionist branch of the Republican Party. In the late 1950s, he was briefly involved with Ayn Rand, but later had a falling-out. When interventionist Cold Warriors of the "National Review", such as William F. Buckley Jr., gained influence in the Republican Party in the 1950s, Rothbard quit that group and briefly associated himself with left-wing antiwar groups. He believed that the Cold Warriors were more indebted in theory to the left and imperialist progressives, especially with respect to Trotskyist theory. Rothbard opposed the founding of

Anarcho-capitalism

the Libertarian Party, but joined in 1973 and became one of its leading activists. The society envisioned by anarcho-capitalists has been called the "contractual society"—i.e. "a society based purely on voluntary action, entirely unhampered by violence or threats of violence" in which anarcho-capitalists assert the system relies on voluntary agreements (contracts) between individuals as the legal framework. It is difficult to predict precisely what the particulars of this society will look like because of the details and complexities of contracts. One particular ramification is that transfer of property and services must be considered voluntarily on the part of both parties.

Anarcho-capitalism

No external entities can force an individual to accept or deny a particular transaction. An employer might offer insurance and death benefits to same-sex couples—another might refuse to recognize any union outside his or her own faith. Individuals are free to enter into or reject contractual agreements as they see fit. Rothbard points out that corporations would exist in a free society as they are simply the pooling of capital. He says limited liability for corporations could also exist through contract: "Corporations are not at all monopolistic privileges; they are free associations of individuals pooling their capital. On the purely

Anarcho-capitalism

free market, such men would simply announce to their creditors that their liability is limited to the capital specifically invested in the corporation". However, corporations created in this way would not be able to replicate the limit on liabilities arising non-contractually, such as liability in tort for environmental disasters or personal injury, which corporations currently enjoy. Rothbard himself acknowledges that "limited liability for torts is the illegitimate conferring of a special privilege". There are limits to the right to contract under some interpretations of anarcho-capitalism. Rothbard himself argues that the right to contract is based in inalienable human rights and

Anarcho-capitalism

therefore any contract that implicitly violates those rights can be voided at will and which would, for instance, prevent a person from permanently selling himself or herself into unindentured slavery. Other interpretations conclude that banning such contracts would in itself be an unacceptably invasive interference in the right to contract. Included in the right of contract is the right to contract oneself out for employment by others. Unlike anarcho-communists, anarcho-capitalists support the liberty of individuals to be self-employed or to contract to be employees of others, whichever they prefer and the freedom to pay and receive wages. Some anarcho-capitalists prefer

Anarcho-capitalism

to see self-employment prevail over wage labor. For example, David D. Friedman has expressed preference for a society where "almost everyone is self-employed" and "instead of corporations there are large groups of entrepreneurs related by trade, not authority. Each sells not his time, but what his time produces". Others, such as Rothbard, do not express a preference either way but justify employment as a natural occurrence in a free market that is not immoral in any way. Different anarcho-capitalists propose different forms of anarcho-capitalism and one area of disagreement is in the area of law. In "The Market for Liberty",

Anarcho-capitalism

Morris and Linda Tannehill object to any statutory law whatsoever. They argue that all one has to do is ask if one is aggressing against another (see tort and contract law) in order to decide if an act is right or wrong. However, while also supporting a natural prohibition on force and fraud, Rothbard supports the establishment of a mutually agreed-upon centralized libertarian legal code which private courts would pledge to follow. Unlike both the Tannehills and Rothbard who see an ideological commonality of ethics and morality as a requirement, David D. Friedman proposes that "the systems of law will

Anarcho-capitalism

be produced for profit on the open market, just as books and bras are produced today. There could be competition among different brands of law, just as there is competition among different brands of cars". Friedman says whether this would lead to a libertarian society "remains to be proven". He says it is a possibility that very unlibertarian laws may result, such as laws against drugs, but he thinks this would be rare. He reasons that "if the value of a law to its supporters is less than its cost to its victims, that law [...] will not survive in

Anarcho-capitalism

an anarcho-capitalist society". Anarcho-capitalists only accept collective defense of individual liberty (i.e. courts, military or police forces) insofar as such groups are formed and paid for on an explicitly voluntary basis. However, their complaint is not just that the state's defensive services are funded by taxation, but that the state assumes it is the only legitimate practitioner of physical force—that is, it forcibly prevents the private sector from providing comprehensive security, such as a police, judicial and prison systems to protect individuals from aggressors. Anarcho-capitalists believe that there is nothing morally superior about the state which would grant it, but

Anarcho-capitalism

not private individuals, a right to use physical force to restrain aggressors. If competition in security provision were allowed to exist, prices would also be lower and services would be better according to anarcho-capitalists. According to Molinari: "Under a regime of liberty, the natural organization of the security industry would not be different from that of other industries". Proponents point out that private systems of justice and defense already exist, naturally forming where the market is allowed to compensate for the failure of the state: private arbitration, security guards, neighborhood watch groups and so on. These private courts and police

Anarcho-capitalism

are sometimes referred to generically as private defense agencies (PDAs). The defense of those unable to pay for such protection might be financed by charitable organizations relying on voluntary donation rather than by state institutions relying on coercive taxation, or by cooperative self-help by groups of individuals. Subrogation, which allows remuneration for losses and damages to be funded by the aggressors, reduces insurance costs and could operate as a business in itself—converting victims from paying customers into direct beneficiaries. The concept of restitution transfer and recoupment (RTR) has been explored by freenation theorist John Frederic Kosanke. RTR agencies would employ

Anarcho-capitalism