| Article ID: | iaor20116139 |
| Volume: | 40 |
| Issue: | 2 |
| Start Page Number: | 387 |
| End Page Number: | 392 |
| Publication Date: | May 2011 |
| Journal: | International Journal of Game Theory |
| Authors: | Kukushkin S |
| Keywords: | Nash equilibrium |
If the preferences of the players in a strategic game satisfy certain continuity conditions, then the acyclicity of individual improvements implies the existence of a (pure strategy) Nash equilibrium. Moreover, starting from any strategy profile, an arbitrary neighborhood of the set of Nash equilibria can be reached after a finite number of individual improvements.