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

Liliana Garrido-da-Silva () and Sofia B. S. D. Castro ()
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Liliana Garrido-da-Silva: Centro de Matemática da Universidade do Porto (CMUP)
Sofia B. S. D. Castro: Centro de Matemática da Universidade do Porto (CMUP)

International Journal of Game Theory, 2020, vol. 49, issue 3, No 11, 885-912

Abstract: Abstract 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.

Keywords: Price setting; Rock–scissors–paper game; Cyclic dynamics; Stability (search for similar items in EconPapers)
JEL-codes: C02 C72 C73 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s00182-020-00706-4

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