relation: https://pure.iiasa.ac.at/id/eprint/14353/
title: Discretized best-response dynamics for the rock-paper-scissors game
creator: Hofbauer, J.
creator: Bednarik, P.
description: Discretizing a differential equation may change the qualitative behaviour drastically, even if the stepsize is small. We illustrate this by looking at the discretization of a piecewise continuous differential equation that models a population of agents playing the Rock-Paper-Scissors game. The globally asymptotically stable equilibrium of the differential equation turns, after discretization, into a repeller surrounded by an annulus shaped attracting region. In this region, more and more periodic orbits emerge as the discretization step approaches zero.
publisher: American Institute of Mathematical Sciences
date: 2017-01-01
type: Article
type: PeerReviewed
format: text
language: en
rights: cc_by
identifier: https://pure.iiasa.ac.at/id/eprint/14353/1/13544.pdf
identifier:   Hofbauer, J. <https://pure.iiasa.ac.at/view/iiasa/1324.html> & Bednarik, P. <https://pure.iiasa.ac.at/view/iiasa/27.html>  (2017).  Discretized best-response dynamics for the rock-paper-scissors game.   Journal of Dynamics and Games 4 (1) 75-86. 10.3934/jdg.2017005 <https://doi.org/10.3934/jdg.2017005>.       
relation: 10.3934/jdg.2017005
identifier: 10.3934/jdg.2017005
doi: 10.3934/jdg.2017005