In this paper, I introduce (i) a novel and unified framework, called cooperative extensive form games, for the study of strategic competition and cooperation, which have been studied in specific contexts, and (ii) a novel solution concept, called cooperative equilibrium system. I show that non-cooperative extensive form games are a special case of cooperative extensive form games, in which players can strategically cooperate (e.g., by writing a possibly costly contract) or act non-cooperatively. To the best of my knowledge, I propose the first solution to the long-standing open problem of "strategic cooperation" first identified by von Neumann (1928). I have one main result to report: I prove that cooperative equilibrium system always exists in finite $n$-person cooperative strategic games with possibly imperfect information. The proof is constructive in the case of perfect information games.
翻译:在本文中,我介绍(一) 一个新的统一框架,称为广泛的合作形式游戏,用于研究战略竞争和合作(已在特定情况下进行了研究),以及(二) 一个新的解决办法概念,称为合作平衡制度,我指出,不合作的广泛的游戏是合作广泛形式游戏的一个特例,在这个特例中,参与者可以进行战略合作(例如,通过签订可能昂贵的合同)或不合作行为。我据我所知,我提出了第一个解决办法,解决冯纽曼(1928年)首先确定的长期存在的公开的“战略合作”问题。我有一个主要结果要报告:我证明合作平衡制度始终存在于有限的美元-人合作战略游戏中,信息可能不完善。在完美的信息游戏中,证据是建设性的。