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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Hofbauer, J. Sandholm, W.H. |
| Copyright Year | 2007 |
| Description | Author affiliation: Vienna Univ., Vienna (Hofbauer, J.) |
| Abstract | We introduce a new class of population games called stable games. These games are characterized by self- defeating externalities: when agents revise their strategies, the improvements in the payoffs of strategies to which revising agents are switching are always exceeded by the improvements in the payoffs of strategies which revising agents are abandoning. Stable games subsume many well-known classes of examples, including zero-sum games, games with an interior ESS, wars of attrition, and concave potential games. We prove that the set of Nash equilibria of any stable game is convex. Finally, we show that the set of Nash equilibria of a stable game is globally asymptotically stable under various classes of evolutionary dynamics, classes that include the best response dynamic, the Brown-von Neumann-Nash dynamic, and the Smith dynamic. |
| Starting Page | 3416 |
| Ending Page | 3421 |
| File Size | 231670 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781424414970 |
| ISSN | 01912216 |
| DOI | 10.1109/CDC.2007.4434344 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2007-12-12 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Game theory Electronic switching systems Nash equilibrium Macroeconomics USA Councils Convergence Arm Genetics Pricing Lyapunov method |
| Content Type | Text |
| Resource Type | Article |
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