Showing 1 - 10 of 30
We consider a basic stochastic evolutionary model with rare mutation and a best-reply (or better-reply) selection mechanism. Following Young's papers, we call a state stochastically stable if its long-term relative frequency of occurrence is bounded away from zero as the mutation rate decreases...
Persistent link: https://www.econbiz.de/10009727120
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...
Persistent link: https://www.econbiz.de/10003912049
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...
Persistent link: https://www.econbiz.de/10003327803
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...
Persistent link: https://www.econbiz.de/10009502714
A large number of individuals are randomly matched into groups, where each group plays a finite symmetric game. Individuals breed true. The expected number of surviving offspring depends on own material payoff, but may also, due to cooperative breeding and/or reproductive competition, depend on...
Persistent link: https://www.econbiz.de/10002609559
We prove that, in all finite generic extensive-form games of perfect information, a continuous-time best response dynamic always converges to a Nash equilibrium component. We show the robustness of convergence by an approximate best response dynamic: whatever the initial state and an allowed...
Persistent link: https://www.econbiz.de/10009764521
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. -- epistemic game theory ; epistemic...
Persistent link: https://www.econbiz.de/10003823241
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...
Persistent link: https://www.econbiz.de/10001638116
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...
Persistent link: https://www.econbiz.de/10009157406
In the Solidarity Game (Selten and Ockenfels, 1998), two "rich" persons can support a "poor" one. A strong positive correlation between one rich person's solidarity contribution and his expected contribution of the other is observed. This paper investigates the causality behind this correlation....
Persistent link: https://www.econbiz.de/10010297227