Bayesian Repeated Zero-Sum Games with Persistent State, with Application to Security Games

Bayesian Repeated Zero-Sum Games with Persistent State, with Application to Security Games
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具有持久状态的贝叶斯重复零和博弈及其在安全博弈中的应用

DOI:
10.1007/978-3-030-64946-3_31
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发表时间:
2020
期刊:
WINE 2020
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--
通讯作者:
Dughmi, Shaddin
Dughmi, Shaddin
中科院分区:
--
文献类型:
--
作者:
Conitzer, Vincent;Deng, Yuan;Dughmi, Shaddin

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我们研究无限重复的两方零和博弈,具有单方面的私人信息和持续状态。在这里,两个参与者中只有一个知道了重复博弈的状态。我们考虑两个模型:状态要么是自然选择的,要么是由其中一个参与者选择的。对于前者,已知重复博弈的均衡等价于单次公共信令博弈的均衡,并将此等价算法化。对于后者,我们展示了与单次团队最大最小博弈的等价性,并提供了算法缩减。我们将这个框架应用于重复的零和安全博弈,其中防御方拥有私人信息,并提供了其计算复杂性的几乎完整特征。
We study infinitely-repeated two-player zero-sum games with one-sided private information and a persistent state. Here, only one of the two players learns the state of the repeated game. We consider two models: either the state is chosen by nature, or by one of the players. For the former, the equilibrium of the repeated game is known to be equivalent to that of a one-shot public signaling game, and we make this equivalence algorithmic. For the latter, we show equivalence to one-shot team max-min games, and also provide an algorithmic reduction. We apply this framework to repeated zero-sum security games with private information on the side of the defender and provide an almost complete characterization of their computational complexity.
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