Discretized best-response dynamics for the rock-paper-scissors game
- Author(s)
- Peter Bednarik, Josef Hofbauer
- 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.
- Organisation(s)
- Department of Economics, Department of Mathematics
- Journal
- Journal of Dynamics and Games
- Volume
- 4
- Pages
- 75-86
- No. of pages
- 12
- ISSN
- 2164-6066
- DOI
- https://doi.org/10.3934/jdg.2017005
- Publication date
- 01-2017
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101017 Game theory
- Keywords
- ASJC Scopus subject areas
- Applied Mathematics, Statistics and Probability, Modelling and Simulation
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/83b74237-ca13-4bef-a8b1-6d5bc5f0504d