Best-Response dynamics in two-person random games with correlated payoffs
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866917573083267072 |
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| author | Mimun, Hlafo Alfie Quattropani, Matteo Scarsini, Marco |
| author_facet | Mimun, Hlafo Alfie Quattropani, Matteo Scarsini, Marco |
| contents | We consider finite two-player normal form games with random payoffs. Player A's payoffs are i.i.d. from a uniform distribution. Given p in [0, 1], for any action profile, player B's payoff coincides with player A's payoff with probability p and is i.i.d. from the same uniform distribution with probability 1-p. This model interpolates the model of i.i.d. random payoff used in most of the literature and the model of random potential games. First we study the number of pure Nash equilibria in the above class of games. Then we show that, for any positive p, asymptotically in the number of available actions, best response dynamics reaches a pure Nash equilibrium with high probability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_12967 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Best-Response dynamics in two-person random games with correlated payoffs Mimun, Hlafo Alfie Quattropani, Matteo Scarsini, Marco Computer Science and Game Theory Theoretical Economics Probability 91A05, 91A26, 91A14, 60G40 We consider finite two-player normal form games with random payoffs. Player A's payoffs are i.i.d. from a uniform distribution. Given p in [0, 1], for any action profile, player B's payoff coincides with player A's payoff with probability p and is i.i.d. from the same uniform distribution with probability 1-p. This model interpolates the model of i.i.d. random payoff used in most of the literature and the model of random potential games. First we study the number of pure Nash equilibria in the above class of games. Then we show that, for any positive p, asymptotically in the number of available actions, best response dynamics reaches a pure Nash equilibrium with high probability. |
| title | Best-Response dynamics in two-person random games with correlated payoffs |
| topic | Computer Science and Game Theory Theoretical Economics Probability 91A05, 91A26, 91A14, 60G40 |
| url | https://arxiv.org/abs/2209.12967 |