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Cyclic dominance in a two-person Rock-Scissors-Paper game

Preprint

<div> <div> <div> <p>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 to illustrate how cyclic behaviour is a dominant feature of the replicator dynamics. 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\textquoteright payoff when a tie occurs. Using some applications to price setting models, we illustrate the contribution of the Rock-Scissors-Paper game to the understanding of cyclic dominance in two-player games.</p> </div> </div> </div>

Liliana Garrido-da-Silva

Sofia Castro

Publication

Year of publication: 2018

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