TY  - JOUR
ID  - iiasa14353
UR  - https://pure.iiasa.ac.at/id/eprint/14353/
IS  - 1
A1  - Hofbauer, J.
A1  - Bednarik, P.
N2  - 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.
VL  - 4
TI  - Discretized best-response dynamics for the rock-paper-scissors game
AV  - public
EP  - 86
Y1  - 2017/01/01/
PB  - American Institute of Mathematical Sciences
JF  - Journal of Dynamics and Games
KW  - Best response dynamics
KW  -  discretization
KW  -  periodic orbits
KW  -  rock-paper-scissors game
SN  - 2164-6066
SP  - 75
ER  -