Cyclic dominance in a two-person Rock-Scissors-Paper game
Dynamical Systems
2020-01-01 v5
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
Cite
@article{arxiv.1607.08748,
title = {Cyclic dominance in a two-person Rock-Scissors-Paper game},
author = {Liliana Garrido-da-Silva and Sofia B. S. D. Castro},
journal= {arXiv preprint arXiv:1607.08748},
year = {2020}
}