Name
Abstract | ||
|---|---|---|
One thing that nearly all stability concepts in evolutionary game theory have in common is that they use a time-independent fitness matrix. Although this is a reasonable assumption for mathematical purposes, in many situations in real life it seems to be too restrictive. We present a model of an evolutionary game, driven by replicator dynamics, where the fitness matrix is a variable rather than a constant, i.e., the fitness matrix is time-dependent. In particular, by considering periodically changing fitness matrices, we model seasonal effects in evolutionary games. We discuss a model with a continuously changing fitness matrix as well as a related model in which the changes occur periodically at discrete points in time. A numerical analysis shows stability of the periodic orbits that are observed. Moreover, trajectories leading to these orbits from arbitrary starting points synchronize their motion in time. Several examples are discussed. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s13235-012-0048-5 | Dynamic Games and Applications |
Keywords | DocType | Volume |
evolutionary game theory,numerical analysis,relational model,replicator dynamics | Journal | 2 |
Issue | ISSN | Citations |
3 | 2153-0793 | 2 |
PageRank | References | Authors |
0.64 | 2 | 6 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Philippe Uyttendaele | 1 | 2 | 1.32 |
| F. Thuijsman | 2 | 77 | 20.53 |
| pieter collins | 3 | 29 | 5.17 |
| Ralf L. M. Peeters | 4 | 62 | 22.61 |
| Gijs Schoenmakers | 5 | 41 | 7.21 |
| Ronald L. Westra | 6 | 50 | 9.00 |