A Nash equilibrium can also be seen as a Cournot-Nash equilibrium, though this is debated because Cournot provided a specific application, not a general formulation. In my view, another of Nash's fundamental contributions stands out when contrasting him to Cournot. Cournot treated economic...

In [5] (Int. J. Game Theory, 42:567-592, 2013) a general notion of perfect Bayesian equilibrium (PBE) was introduced for extensive-form games and shown to be intermediate between subgame-perfect equilibrium and sequential equilibrium. The essential ingredient of the proposed notion is the...

This paper studies contagious equilibrium in infinitely repeated matching games. The innovation is to identify a key statistic of contagious punishment that, used together with a recursive formulation, generates tractable closed-form expressions for continuation payoffs, off equilibrium. This...

We consider the Nash equilibrium existence problem for Cournotian games and we provide two results for it. The first is compatible with utility functions that are discontinuous at the origin, but requires the nonemptiness of best-replies at the origin (and in some sense is known); the second...

I study the path properties of adaptive heuristics that mimic the natural dynamics of play in a game and converge to the set of correlated equilibria. Despite their apparent differences, I show that these heuristics have an abstract representation as a sequence of probability distributions that...

We give rigorous game-theoretic meaning to the Stackelberg notions of time inconsistency and to the idea of commitment being of value (or sequential irrationality). Time inconsistency treats desirable deviations only along the path, whereas sequential irrationality treats deviations everywhere...

This paper establishes a clear connection between equilibrium theory, game theory and social choice theory by showing that, for a well defined social choice problem, a condition which is necessary and sufficient to solve this problem--limited arbitrage--is the same as the condition which is...

This paper addresses the question of whether agents will invest efficiently in attributes that will increase their productivity in subsequent matches with other individuals. We present a two-sided matching model in which buyers and sellers make investment decisions prior to a matching stage....

This paper offers a resolution to an extensively studied question in theoretical economics: which measure spaces are suitable for modeling many economic agents? We propose the condition of “nowhere equivalence” to characterize those measure spaces that can be effectively used to model the...