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| Content Provider | ACM Digital Library |
|---|---|
| Author | Schoenebeck, Grant Vadhan, Salil |
| Abstract | Games may be represented in many different ways, and different representations of games affect the complexity of problems associated with games, such as finding a Nash equilibrium. The traditional method of representing a game is to explicitly list all the payoffs, but this incurs an exponential blowup as the number of agents grows. We study two models of concisely represented games: circuit games, where the payoffs are computed by a given boolean circuit, and graph games, where each agent's payoff is a function of only the strategies played by its neighbors in a given graph. For these two models, we study the complexity of four questions: determining if a given strategy is a Nash equilibrium, finding a Nash equilibrium, determining if there exists a pure Nash equilibrium, and determining if there exists a Nash equilibrium in which the payoffs to the players meet some given guarantees. In many cases, we obtain tight results, showing that the problems are complete for various complexity classes. |
| Starting Page | 270 |
| Ending Page | 279 |
| Page Count | 10 |
| File Format | |
| ISBN | 1595932364 |
| DOI | 10.1145/1134707.1134737 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2006-06-11 |
| Publisher Place | New York |
| Access Restriction | Subscribed |
| Subject Keyword | Graph games Computational game theory Concise games Circuit games Nash equilibrium |
| Content Type | Text |
| Resource Type | Article |
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