@article{iiasa14353,
          volume = {4},
          number = {1},
           month = {January},
           title = {Discretized best-response dynamics for the rock-paper-scissors game},
       publisher = {American Institute of Mathematical Sciences},
            year = {2017},
         journal = {Journal of Dynamics and Games},
             doi = {10.3934/jdg.2017005},
           pages = {75--86},
        keywords = {Best response dynamics, discretization, periodic orbits, rock-paper-scissors game},
             url = {https://pure.iiasa.ac.at/id/eprint/14353/},
            issn = {2164-6066},
        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.},
          author = {Hofbauer, J. and Bednarik, P.}
}