A game-theoretic implication of the Riemann hypothesis

Christian Ewerhart

Mathematical Social Sciences, 2024, vol. 128, issue C, 52-59

Abstract: 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.

Keywords: Riemann hypothesis; Nash equilibrium; Pólya frequency functions (search for similar items in EconPapers)
Date: 2024
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Working Paper: A game-theoretic implication of the Riemann hypothesis (2023)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:128:y:2024:i:c:p:52-59

DOI: 10.1016/j.mathsocsci.2024.01.007

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