Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7382837 | Physica A: Statistical Mechanics and its Applications | 2011 | 8 Pages |
Abstract
⺠We discuss the Rock-Paper-Scissors (RPS) game in which the fitness of the strategy depends on its frequency. ⺠We find an asymptotically stable polymorphism in the standard RPS game. ⺠For the general RPS game we find limit cycles. ⺠The stability of the limit cycles depends on the personality of the players. ⺠Supercritical and subcritical Hopf bifurcations are discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Tadeusz Platkowski, Jan Zakrzewski,