Abstract
We examine the asymptotic stability of equilibria where individuals react to delayed information and the delays are heterogeneously distributed. For symmetric games with binary actions, we derive conditions under which the stability/instability of equilibria does not depend on the delay distribution. As a corollary, we show that a unique mixed evolutionarily stable state in games in well-mixed populations is asymptotically stable under a class of delayed replicator dynamics, for any lag distribution.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-6 |
| Number of pages | 6 |
| Journal | Journal of Theoretical Biology |
| Volume | 300 |
| DOIs | |
| State | Published - May 7 2012 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Modeling and Simulation
- General Biochemistry, Genetics and Molecular Biology
- General Immunology and Microbiology
- General Agricultural and Biological Sciences
- Applied Mathematics
Keywords
- Asymptotic stability
- Information lags
- Replicator dynamics