https://pure.iiasa.ac.at/id/eprint/14353 2021-08-27T17:41:49Z info:eu-repo/semantics/descriptiveMetadata https://pure.iiasa.ac.at/id/eprint/14353/ Discretized best-response dynamics for the rock-paper-scissors game Hofbauer, J. Bednarik, P. 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. American Institute of Mathematical Sciences 2017-01-01 Article PeerReviewed text en cc_by https://pure.iiasa.ac.at/id/eprint/14353/1/13544.pdf 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>. 10.3934/jdg.2017005 10.3934/jdg.2017005 10.3934/jdg.2017005 info:eu-repo/semantics/objectFile info:eu-repo/semantics/humanStartPage