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The dynamical stability for an evolutionary language game under selection-mutation dynamics

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  • Seigo Uchida
  • Masakazu Fukuzumi

Abstract

We present complete results pertaining to the dynamical stability for sender-receiver games following Lewis (1969), and Nowak and Krakauer (1999) under the selection-mutation dynamics. Our research reveals that two distinct classes of neutrally stable strategies have a distinguishing feature of the dynamic stability. The rest points close to the strategies of these classes are asymptotically stable and all rest points other than these are not.

Suggested Citation

  • Seigo Uchida & Masakazu Fukuzumi, 2017. "The dynamical stability for an evolutionary language game under selection-mutation dynamics," Working Papers e115, Tokyo Center for Economic Research.
  • Handle: RePEc:tcr:wpaper:e115
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    References listed on IDEAS

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    1. Josef Hofbauer & Simon M. Huttegger, 2015. "Selection-Mutation Dynamics of Signaling Games," Games, MDPI, vol. 6(1), pages 1-30, January.
    2. Pawlowitsch, Christina, 2008. "Why evolution does not always lead to an optimal signaling system," Games and Economic Behavior, Elsevier, vol. 63(1), pages 203-226, May.
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