RT Journal Article
SR 00
ID 10.3934/jdg.2017005
A1 Hofbauer, J.
A1 Bednarik, P.
T1 Discretized best-response dynamics for the rock-paper-scissors game
JF Journal of Dynamics and Games
YR 2017
FD 2017-01-01
VO 4
IS 1
SP 75
OP 86
K1 Best response dynamics, discretization, periodic orbits, rock-paper-scissors game
AB 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.
PB American Institute of Mathematical Sciences
SN 2164-6066
LK https://pure.iiasa.ac.at/id/eprint/14353/