Stability and trembles in extensive-form games
AbstractA leading solution concept in the evolutionary study of extensive-form games is Selten's (1983) (selten1983evolutionary) notion of limit ESS. We demonstrate that a limit ESS does not imply neutral stability, and that it may be dynamically unstable (almost any small perturbation takes the population away). These problems arise due to an implicit assumption that “mutants” are arbitrarily rare relative to “trembling” incumbents. Finally, we present a novel definition that solves this issue and has appealing properties.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 48160.
Date of creation: 09 Jul 2013
Date of revision:
Limit ESS; evolutionary stability; extensive-form games.;
Find related papers by JEL classification:
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-08-05 (All new papers)
- NEP-EVO-2013-08-05 (Evolutionary Economics)
- NEP-GTH-2013-08-05 (Game Theory)
- NEP-HPE-2013-08-05 (History & Philosophy of Economics)
- NEP-MIC-2013-08-05 (Microeconomics)
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