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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/5013

Title: Meta-Evolutionary Game Dynamics for Mathematical Modelling of Rules Dynamics
Authors: Hashimoto, Takashi
Kumagai, Yuya
Keywords: Dynamics of rules
Mathematical modelling
Meta-evolutionary game dynamics
Replicator equations
Evolutionary stable games
Issue Date: 2003
Publisher: Springer
Magazine name: Lecture Notes in Computer Science
Volume: 2801
Start page: 107
End page: 117
Abstract: This paper proposes an evolutionary-game-theory model, called meta-evolutionary game dynamics, for studying the dynamics of rules and individual behaviour. Although there are two game theoretical views of rules, i.e., seeing rules as game forms and as equilibria of games, endogenous changes of rules are not modelled effectively by either of these two views. We introduce a model for integrating the two views, in which the interaction rules of replicator equations change dynamically. Computer simulations of an example of the model that include mutation and extinction of both strategies and games show (1) an intermittent change of strategy distributions, (2) a continual transition from a dominant strategy to another, and (3) metastable states distinct from the Nash equilibria. We discuss the notion of evolutionary stability of games and some natural examples showing rule dynamics. We conclude that meta-evolutionary game dynamics enables the study of the endogenous dynamic of rules. Our model contributes, therefore, the development of game theory approach to the dynamics of rules.
Rights: This is the author-created version of Springer, Takashi Hashimoto and Yuya Kumagai, Lecture Notes in Computer Science, 2801, 2003, 107-117. The original publication is available at www.springerlink.com
URI: http://hdl.handle.net/10119/5013
Material Type: author
Appears in Collections:a10-1. 雑誌掲載論文 (Journal Articles)

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