Sets closed under rational behavior were introduced by Basu and Weibull (1991) as subsets of the strategy space that contain all best replies to all strategy profiles in the set. We here consider a more restrictive notion of closure under rational behavior: a subset of the strategy space is...

Saez-Marti and Weibull [4] investigate the consequences of letting some agents play a myopic best reply to the myopic best reply in Young's [8] bargaining model. This is how they introduce cleverness of players. We analyze such clever agents in general finite two-player games. We show that...

In (Viossat, 2006, The replicator dynamics does not lead to correlated equilibria, forthcoming in Games and Economic Behavior), it was shown that the replicator dynamics may eliminate all pure strategies used in correlated equilibrium, so that only strategies that do not take part in any...

We show that local potential maximizer (\cite{morris+05}) with constant weights is stochastically stable in the log-linear dynamics provided that the payoff function or the associated local potential function is supermodular. We illustrate and discuss, through a series of examples, the use of...

In this paper we model an evolutionary process with perpetual random shocks where individual behavior is determined by imitation. Every period an agent is randomly chosen from each of n finite populations to play a game. Each agent observes a sample of population-specific past strategy and...

Saez-Marti and Weibull [4] investigate the consequences of letting some agents play a myopic best reply to the myopic best reply in Young's [8] bargaining model. This is how they introduce ''cleverness'' of players. We analyze such clever agents in general finite two-player games. We show that...

We construct a dynamic model of two-sided sorting in labor markets with multi-dimensional agent and firm heterogeneity. We apply it to study optimal party structure and the decision of how (de)centralized candidate recruitment should be. Parties are non-unitary actors and compete at the local...

This paper provides two conditions of epistemic robustness, robustness to alternative best replies and robustness to non-best replies, and uses them to characterize variants of curb sets in finite games, including the set of rationalizable strategies.

A product set of pure strategies is a prep set (prep is short for preparation) if it contains at least one best reply to any consistent belief that a player may have about the strategic behavior of his opponents. Minimal prep sets are shown to exists in a class of strategic games satisfying...

We address the problem of learning and implementation on the Internet. When agents play repeated games in distributed environments like the Internet, they have very limited {\em a priori} information about the other players and the payoff matrix, and the play can be highly asynchronous....