http://www.mdpi.com/journal/games Latest open access articles published in Games at http://www.mdpi.com/journal/games Games 2073-4336 http://www.mdpi.com/2073-4336/1/1/3 We introduce a class of evolutionary game dynamics — pairwise comparison dynamics — under which revising agents choose a candidate strategy at random, switching to it with positive probability if and only if its payoff is higher than the agent’s current strategy. We prove that all such dynamics satisfy Nash stationarity: the set of rest points of these dynamics is always identical to the set of Nash equilibria of the underlying game. We also show how one can modify the replicator dynamic and other imitative dynamics to ensure Nash stationarity without increasing the informational demands placed on the agents. These results provide an interpretation of Nash equilibrium that relies on large numbers arguments and weak requirements on payoff observations rather than on strong equilibrium knowledge assumptions. http://www.mdpi.com/2073-4336/1/1/3 Mon, 30 Nov 2009 23:00:01 GMT Games 2009-12-01 1 1 Article 3 17 2073-4336 Pairwise Comparison Dynamics and Evolutionary Foundations for Nash Equilibrium 2009-12-01 doi:10.3390/g1010003 William H. Sandholm http://www.mdpi.com/2073-4336/1/1/1 Over the last fifty years, game theory has evolved from a mathematical theory of optimal behaviour in stylized situations (“games”) to a general theory of human behaviour, be it actually observed or normatively desirable. Its scope includes both the mathematical modelling and analysis of competition and conflict and the study of human behaviour in strategic contexts and its determinants. Nowadays, game theory has become the language of economics and is increasingly becoming one of the main methods of analysis in several social sciences. Its theoretical underpinnings can be viewed as a mathematical subdiscipline, while its more behavioural offshoots benefit from cross-fertilization with psychology. Game theory has grown within economics but is, by its very nature, interdisciplinary, to the extent that no game theorist can or should define him or herself in disciplinary terms anymore. [...] http://www.mdpi.com/2073-4336/1/1/1 Tue, 29 Sep 2009 22:00:01 GMT Games 2009-09-30 1 1 Editorial 1 2 2073-4336 Games: An Interdisciplinary Open Access Journal 2009-09-30 doi:10.3390/g1010001 Carlos Alós-Ferrer