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Multi-Population Replicator Dynamics with Changes of Interpretations of Strategies Takafumi KANAZAWA Toshimitsu USHIO Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E89-A No.10 pp.2717-2723 Publication Date: 2006/10/01 Online ISSN: 1745-1337 DOI: 10.1093/ietfec/e89-a.10.2717 Print ISSN: 0916-8508 Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications) Category: Modelling, Systems and Simulation Keyword: evolutionary game, replicator dynamics, hybrid system, interpretation function, Full Text: PDF(1.4MB)>>
Summary: If some differences of perceptions arise between populations, then strategies which are regarded as the same strategy in a population may be perceived distinguishably in the other populations. To discuss such a situation, replicator dynamics for multi-population hypergames has been proposed. However, it is assumed that players' perceptions are given and fixed. In this paper, we consider that each population has various interpretation functions and choose one of them depending on payoffs, and we propose a hybrid system representation of replicator dynamics with changes of interpretation functions. Moreover, we apply our proposed model to a well-known example of a hypergame "Soccer Hooliganism" and show that behaviors converging to heteroclinic orbits can appear by the changes of the interpretation functions. | ||||||||||
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