| Article ID: | iaor201526266 |
| Volume: | 5 |
| Issue: | 2 |
| Start Page Number: | 157 |
| End Page Number: | 179 |
| Publication Date: | Jun 2015 |
| Journal: | Dynamic Games and Applications |
| Authors: | Ruijgrok M, Ruijgrok Th |
| Keywords: | competitive strategy, strategy, partial differential equations (PDE) |
The replicator equation for a two‐person symmetric game, which has an interval of the real line as strategy space, is extended with a mutation term. Assuming that the distribution of the strategies has a continuous density, a partial differential equation for this density is derived. The equation is analysed for two examples. A connection is made with the canonical equation from adaptive dynamics and the continuous stable strategy criterion.