"14353","12","archive","353",,,"disk0/00/01/43/53","2017-01-31 20:56:50","2021-08-27 17:41:49","2017-01-31 20:56:50","article",,,"show","","",,,,"Hofbauer","J.","","","1385","","",,,,,"","","Discretized best-response dynamics for the rock-paper-scissors game","pub","","","prog_eep","Best response dynamics, discretization, periodic orbits, rock-paper-scissors game",,"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.","2017-01-01","published","American Institute of Mathematical Sciences","10.3934/jdg.2017005",,,,,,"",,,,,"",,,,,"",,,,,"","",,"",,,,,,,"1324","public",,,,"Journal of Dynamics and Games","4","1",,"75-86",,,,,,,,,,,"TRUE",,"2164-6066",,,,,,"","","","",,"","",,,,,,,"",,,,,"FALSE","no",,"info:eu-repo/semantics/article",
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