GAME COMPLETE ANALYSIS OF BERTRAND DUOPOLY
In this paper we apply the Complete Analysis of Differentiable Games (introduced by D. Carfi in [3], [6], [8] and [9]) and al-ready employed by himself and others in [4], [5], [7]) to the classic Bertrand Duopoly (1883), classic oligopolistic market in which there are two enterprises producing the same commodity and selling it in the same market. In this classic model, in a competitive background, the two enterprises employ as possible strategies the unit prices of their product, contrary to the Cournot duopoly, in which the enterprises decide to use the quantities of the commodity produced as strategies. The main solutions proposed in literature for this kind of duopoly (as in the case of Cournot duopoly) are the Nash equilibrium and the Collusive Optimum, without any subsequent critical exam about these two kinds of solutions. The absence of any critical quantitative analysis is due to the relevant lack of knowledge regarding the set of all possible outcomes of this strategic interaction. On the contrary, by considering the Bertrand Duopoly as a differentiable game (games with differentiable payoff functions) and studying it by the new topological methodologies introduced by D. Carfi, we obtain an exhaustive and complete vision of the entire payoff space of the Bertrand game (this also in asymmetric cases with the help of computers) and this total view allows us to analyze critically the classic solutions and to find other ways of action to select Pareto strategies. In order to illustrate the application of this topological methodology to the considered infinite game, several compromise pricing-decisions are considered, and we show how the complete study gives a real extremely extended comprehension of the classic model.
An environmentally sustainable global economy. A coopetitive model
This paper proposes a model representing a global economy which aims to become environmentally sustainable. The model looks both at the production side and the consumption side of the economy. Regarding the production side, the suggested model considers investment and innovation in climate technologies, whereas on the side of the consumption it takes into account economic and policy instruments to change the patterns of consumption of the households. The model follows a game theory approach and applies a theoretical framework a la Cournot. The results of the paper are the following: the model provides win-win solutions, namely strategic situations in which each country takes advantages by cooperating and competing at the same time within the global economy, and where each country gets a positive return. In fact, the model shows the convenience for each country to cooperate and suggests the implementation of policies in order to satisfy the basic requirements of 2030 Agenda for Sustainable Development, in terms of production, consumption and climate change.
The Use of Qualitative Information in Macro-Economic Policy Analysis
The majority of macro-economic policy models takes for granted that conflicts among objectives can be assessed by means of a tradeoff analysis. Such tradeoffs imply that sacrifices and benefits of various impacts of decisions can be measured on a cardinal scale, so that a conventional macro-economic utility or welfare analysis can be applied.