Cyclic dominance in a two-person rock–scissors–paper game

被引:0
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作者
Liliana Garrido-da-Silva
Sofia B. S. D. Castro
机构
[1] Centro de Matemática da Universidade do Porto (CMUP),Faculdade de Economia da Universidade do Porto
[2] Centro de Economia e Finanças (Cef.UP),undefined
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关键词
Price setting; Rock–scissors–paper game; Cyclic dynamics; Stability; C72; C73; C02;
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摘要
The Rock–scissors–paper game has been studied to account for cyclic behaviour under various game dynamics. We use a two-person parametrised version of this game. The cyclic behaviour is observed near a heteroclinic cycle, in a heteroclinic network, with two nodes such that, at each node, players alternate in winning and losing. This cycle is shown to be as stable as possible for a wide range of parameter values. The parameters are related to the players’ payoff when a tie occurs.
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页码:885 / 912
页数:27
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