According to a minimalist version of Afriat’s theorem, a consumer behaves as a utility maximizer if and only if a feasibility matrix associated with his choices is cyclically consistent. An ”essential experiment” consists of observed consumption bundles (x1,xn) and a feasibility matrix α....

We identify a natural counterpart of the standard GARP for demand data in which goods are all indivisible. We show that the new axiom (DARP, for "discrete axiom of revealed preference") is necessary and sufficient for the rationalization of the data by a well-behaved utility function. Our...

La plupart des décisions économiques impliquent des agents qui ne partagent pas la même information. Peut-on décrire synthétiquement l’ensemble des procédures accessibles à un planificateur qui souhaite recueillir l’information des agents et agir en leur nom ? Quels sont les critères...

The article shows how Jean-Francois Mertens contributed to the development of game theory and microeconomics as we know them today. Along with about 80 articles, Mertens's topics go from the formulation of Bayesian decision making in games with incomplete information to the foundations of cost...

A mistake in “Five legitimate definitions of correlated equilibrium (CE) in games with incomplete information” motivates a re-examination of some extensions of the solution concept that Aumann introduced.

Nous considérons la vente aux enchères sous pli scellé au second prix d'un objet que chaque acquéreur potentiel évalue de manière « privée et indépendante ». Nous montrons que l'optimum ex ante d'un cartel, sous contraintes d'incitation et d'équilibre ex post des transferts, coïncide...

We propose two classes of allocation games for N.T.U. and T.U. exchange economies in which initial endowments and preferences depend on the agents’ private information. In both models, agents make non-verifiable claims about their types and effective deposits of consumption goods, which are...

We propose a semi-cooperative game theoretic approach to check whether a given coalition is stable in a Bayesian game with independent private values. The ex ante expected utilities of coalitions, at an incentive compatible (noncooperative) coalitional equilibrium, describe a (cooperative)...

According to a minimalist version of Afriat’s theorem, a consumer behaves as a utility maximizer if and only if a feasibility matrix associated with his choices is cyclically consistent. An “essential experiment” consists of observed consumption bundles <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$(x_{1}, \ldots , x_{n})$$</EquationSource> </InlineEquation> and a...</equationsource></inlineequation>