Discretized best-response dynamics for the rock-paper-scissors game

Hofbauer J & Bednarik P (2016). Discretized best-response dynamics for the rock-paper-scissors game. Journal of Dynamics and Games 4 (1): 75-86. DOI:10.3934/jdg.2017005.

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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.

Item Type: Article
Uncontrolled Keywords: Best response dynamics, discretization, periodic orbits, rock-paper-scissors game
Research Programs: Evolution and Ecology (EEP)
Depositing User: Luke Kirwan
Date Deposited: 31 Jan 2017 20:56
Last Modified: 06 Feb 2017 07:23
URI: http://pure.iiasa.ac.at/14353

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