| Autor: |
Chen, Enxian, Wu, Bin, Xu, Hanping |
| Rok vydání: |
2020 |
| Předmět: |
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| DOI: |
10.48550/arxiv.2011.06789 |
| Popis: |
A symmetric equilibrium in a large game with a convergent sequence of finite-player games can induce a strategy profile for each finite-player game in the sequence in an obvious way. We show that such obviously induced strategy profiles form approximate symmetric equilibria for the sequence of finite-player games under a continuity assumption. This result demonstrates from a new angle that large games serve as a reasonable idealization for games with large but finitely many players. Furthermore, we show that for a large game with a convergent sequence of finite-player games, the limit distribution of any convergent sequence of (randomized) approximate equilibria in the corresponding finite-player games is induced by a symmetric equilibrium in the limit large game. Various results in the earlier literature on the relevant closed graph property in the case of pure strategies can be unified under such a general convergence result. Applications in congestion games are also presented. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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