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Probabilistic Path-Disruption Games

机译:概率路径中断游戏

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摘要

Path-disruption games, recently introduced by Bachrach and Porat, are coalitional games played on graphs where one or multiple adversaries each seek to reach a given target vertex from a given source vertex and a coalition of agents seeks to prevent that from happening by blocking every path from the source to the target, for each adversary. We expand their model by allowing uncertainty about the targets. In probabilistic path-disruption games, we assign to each vertex the probability that an adversary wants to reach it. We study the complexity of various problems related to such games.
机译:巴赫里赫和帕拉特最近引入的路径中断游戏是在图形上发挥的独立游戏,其中一个或多个对手从给定的源顶点到达给定的源顶点和代理联盟寻求防止通过阻止所有的联盟来自源头到目标的路径,每个对手。我们通过允许对目标的不确定性来扩展其模型。在概率主义的路径中断游戏中,我们分配给每个顶点的概率,即对手想要到达它。我们研究与此类游戏有关的各种问题的复杂性。

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