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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/75792 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/75792 http://eprints.org/relation/ismediumThumbnailVersionOf https://pure.iiasa.ac.at/id/document/75792 75798 2 209335 document 75798 small.jpg image/png d9940a5c73ee0fe612affbdb114cbe3d MD5 1496 2017-01-31 21:02:26 https://pure.iiasa.ac.at/id/eprint/14353/6/small.jpg 14353 6 6 image/png other Thumbnails conversion from text to thumbnail_small en staffonly

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/75792 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/75792 http://eprints.org/relation/issmallThumbnailVersionOf https://pure.iiasa.ac.at/id/document/75792 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 Bednarik P. 2085 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 27 public Journal of Dynamics and Games 4 1 75-86 TRUE 2164-6066 FALSE no info:eu-repo/semantics/article