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A game-theoretic implication of the Riemann hypothesis
Mathematical Social Sciences ( IF 0.6 ) Pub Date : 2024-01-26 , DOI: 10.1016/j.mathsocsci.2024.01.007
Christian Ewerhart

The Riemann Hypothesis (RH) is one of the major unsolved problems in pure mathematics. In the present paper, a parameterized family of non-cooperative games is constructed with the property that, if RH is true, then any game in the family admits a unique Nash equilibrium. We argue that this result is not degenerate. Indeed, neither is the conclusion a tautology, nor is RH used to define the family of games.



中文翻译:

黎曼假设的博弈论含义

黎曼猜想(RH)是纯数学中尚未解决的主要问题之一。在本文中,构造了一个参数化的非合作博弈族,其属性是,如果 RH 为真,则该族中的任何博弈都承认唯一的纳什均衡。我们认为这个结果并不是退化的。事实上,结论既不是同义反复,RH 也不是用来定义游戏家族的。

更新日期:2024-01-28
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