eprintid: 14353
rev_number: 12
eprint_status: archive
userid: 353
dir: disk0/00/01/43/53
datestamp: 2017-01-31 20:56:50
lastmod: 2021-08-27 17:41:49
status_changed: 2017-01-31 20:56:50
type: article
metadata_visibility: show
creators_name: Hofbauer, J.
creators_name: Bednarik, P.
creators_id: 1385
creators_id: 2085
title: Discretized best-response dynamics for the rock-paper-scissors game
ispublished: pub
divisions: prog_eep
keywords: Best response dynamics, discretization, periodic orbits, rock-paper-scissors game
abstract: 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.
date: 2017-01-01
date_type: published
publisher: American Institute of Mathematical Sciences
id_number: 10.3934/jdg.2017005
creators_browse_id: 1324
creators_browse_id: 27
full_text_status: public
publication: Journal of Dynamics and Games
volume: 4
number: 1
pagerange: 75-86
refereed: TRUE
issn: 2164-6066
coversheets_dirty: FALSE
fp7_project: no
fp7_type: info:eu-repo/semantics/article
citation:   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>.       
document_url: https://pure.iiasa.ac.at/id/eprint/14353/1/13544.pdf