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| Content Provider | Springer Nature Link |
|---|---|
| Author | Uyttendaele, Philippe Thuijsman, Frank Collins, Pieter Peeters, Ralf Schoenmakers, Gijs Westra, Ronald |
| Copyright Year | 2012 |
| 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. |
| Starting Page | 335 |
| Ending Page | 345 |
| Page Count | 11 |
| File Format | |
| ISSN | 21530785 |
| Journal | Dynamic Games and Applications |
| Volume Number | 2 |
| Issue Number | 3 |
| e-ISSN | 21530793 |
| Language | English |
| Publisher | SP Birkhäuser Verlag Boston |
| Publisher Date | 2012-05-26 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Evolutionary game Replicator dynamics Periodic fitness Game Theory/Mathematical Methods Computer Systems Organization and Communication Networks Communications Engineering, Networks Game Theory, Economics, Social and Behav. Sciences Economics/Management Science Operations Research, Management Science |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Statistics and Probability Computer Graphics and Computer-Aided Design Economics and Econometrics Computational Theory and Mathematics Computational Mathematics Computer Science Applications |
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