Essais sur la conception de mécanismes et les enchères
This thesis is made of three essays related to mechanism design and auctions.  In first essay I study Bayesian efficient mechanism design in environments where agents' utility functions depend on the chosen alternative even if they do not participate to the mechanism. In addition to an allocation rule and a payment rule the designer may choose appropriate threats in order to give agents the incentive to participate and maximize his own expected surplus; The planner may presume the type of an agent who does not participate. I show that the solution of the design problem can be found by a max - min choice of the presumed types and threats. I apply this to the design of an efficient multi-unit auction when a buyer in possession of the good causes negative externalities on other buyers.\\ The second essay considers the fair return rule used by the European Space Agency (ESA). It ensures each member state of ESA a return proportional to its contribution, in the form of contracts awarded to firms coming from that state. The fair return rule is in conflict with the principle of free competition since contracts are not necessarily awarded to firms with the lowest bids. This has raised debates on the use of this rule: it is well accepted by small states, but larger states with strong national space programs, see its strict use as an obstacle to competitiveness and cost effectiveness. It is easy to believe that this rule is more costly to the agency than traditional auctions. We show on the contrary that an adequate implementation of the fair return rule may cause it to be less expensive to the agency than the traditional auctions of free competition. We consider the case of complete information where firms' technology levels are common knowledge, and the case of incomplete information where firms observe privately their production costs. In both cases we show that adequate implementation of the fair return rule may help take advantage of asymmetries between countries in order to expect a lower cost than with traditional auctions.\\ Finally, in the third essay I derive an optimal procurement mechanism in an environment where a buyer of heterogeneous items faces potential suppliers from different groups, and is constrained to choose a winning list that is consistent with some exogenous quotas assigned to the different groups. The optimal allocation rule consists of assigning priority levels to suppliers on the basis of their cost reports. The way these priority levels are determined is subjective but known to all before the auction. The individual reports induce scores for each potential winning list. The items are then purchased from one of the lists with the best score, provided it is not greater than the buyer's valuation for the items. I also find that it is not optimal to purchase the items through separate auctions, unless the buyer's valuation is sufficiently high or low.
Libre concurence Efficiency Endogenous outside options Threats Virtual costs Optimality Fair return Free competition Asymmetry Auctions