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...

This paper proposes an equilibrium approach to belief manipulation and deception in which agents only have coarse knowledge of their opponent s strategy. Equilibrium requires the coarse knowledge available to agents to be correct, and the inferences and optimizations to be made on the basis of...

We study the existence of uniform correlated equilibrium payoffs in stochastic games. The correlation devices that we use are either autonomous (they base their choice of signal on previous signals, but not on previous states or actions) or stationary (their choice is independent of any data and...

This paper studies investments in new markets where more than two (anticipated) identical competitors are present. In case of three firms an accordion effect is detected: an exogenous demand shock results in a change of the wedge between investment thresholds of the first and second investor...

This article is focused on children providing and financing long-term care for their elderly parent. The aim of this work is to highlight the interactions that may take place among siblings when deciding whether or not to become a caregiver. We look at families with two children using data from...

This note establishes that in every 3-3 symmetric game, the replicator dynamics eliminates all strategies that are never used in correlated equilibrium. This extends to the best-response dynamics and to any convex monotonic dynamics. The proof is based on dual reduction.

This paper presents recent results from Mean Field Game theory underlying the introduction of common noise that imposes to incorporate the distribution of the agents as a state variable. Starting from the usual mean field games equations introduced in [11 , 12 , 13 ] and adapting them to games...

Afriat proved the equivalence of a variant of the strong axiom of revealed preference and the existence of a solution to a set of linear inequalities. From this solution he constructed a utility function rationalizing the choices of a competitive consumer. We extend Afriat's theorem to a class...