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Onset of limit cycles in population games with attractiveness driven strategy choice

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  • Kukla, Elżbieta
  • Płatkowski, Tadeusz

Abstract

We consider population games in which players are motivated in their choice of strategies by payoffs, popularity and transcendent factors. The dynamics of players is governed by balance conservation equations, with attractiveness driven strategy choice. We demonstrate that the increase of the attractiveness of strategy does not necessarily lead to the increase of its frequency in the population in the long run. In particular we discover the existence of limit cycles in the Iterated Prisoner’s Dilemma and in the Rock-Paper-Scissors games in such populations.

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  • Kukla, Elżbieta & Płatkowski, Tadeusz, 2013. "Onset of limit cycles in population games with attractiveness driven strategy choice," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 77-82.
    • Handle: RePEc:eee:chsofr:v:56:y:2013:i:c:p:77-82
    DOI: 10.1016/j.chaos.2013.07.008
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    References listed on IDEAS

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    1. Platkowski, Tadeusz & Zakrzewski, Jan, 2011. "Asymptotically stable equilibrium and limit cycles in the Rock–Paper–Scissors game in a population of players with complex personalities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4219-4226.
    2. Hommes, Cars H. & Ochea, Marius I., 2012. "Multiple equilibria and limit cycles in evolutionary games with Logit Dynamics," Games and Economic Behavior, Elsevier, vol. 74(1), pages 434-441.
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    Cited by:

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    3. Wenjun Hu & Haiyan Tian & Gang Zhang, 2019. "Bifurcation Analysis of Three-Strategy Imitative Dynamics with Mutations," Complexity, Hindawi, vol. 2019, pages 1-8, October.

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