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...

It is shown that the n-player lottery contest admits a best-response potential (Voorneveld, 2000, Economics Letters). This is true also when the contest technology reflects the possibility of a draw. The result implies, in particular, the existence of a non-trivial two-player zero-sum game that...

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 studies the dynamic construction of a blockchain by competitive miners. In contrast to the literature, we assume a finite time horizon. Moreover, miners are rewarded for blocks that eventually become part of the longest chain. It is shown that popular mining strategies such as...

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...

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...

This paper studies fictitious play in networks of noncooperative two-person games. We show that continuous-time fictitious play converges to the set of Nash equilibria if the overall n-person game is zero-sum. Moreover, the rate of convergence is 1/T, regardless of the size of the network. In...