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...

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...

The folk theorems for infinitely repeated games with discounting presume that the discount rate between two successive periods is constant. Following the literature on quasi-exponential or hyperbolic discounting, I model the repeated interaction between two or more decision makers in a way that...

In a large family of solution concepts for boundedly rational players - allowing players to be imperfect optimizers, but requiring that better responses are chosen with probabilities at least as high as those of worse responses - most of Thompson's inessential transformations for the strategic...

The literature on deregulated electricity markets generally assumes available capacities to be given. In contrast, this paper studies a model where firms precommit to capacity levels before competing in a uniform price auction. The analysis sheds light on recent empirical findings that firms use...

We model organizational decision making as costless pre-play communication. Decision making is called authoritarian if only one player is allowed to speak and consensual if all players are allowed to speak. Players are assumed to have limited cognitive capacity and we characterize their behavior...

The importance of categorical reasoning in human cognition is well-established in psychology and cognitive science, and it is generally acknowledged that one of the most important functions of categorization is to facilitate prediction. This paper provides a model of optimal categorization. In...