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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title A game-theoretic implication of the Riemann hypothesis
Organization Unit
Authors
  • Christian Ewerhart
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title Mathematical Social Sciences
Publisher Elsevier
Geographical Reach international
ISSN 0165-4896
Volume 128
Page Range 52 - 59
Date 2024
Abstract Text 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.
Digital Object Identifier 10.1016/j.mathsocsci.2024.01.007
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Keywords Statistics, probability and uncertainty, general psychology, general social sciences, sociology and political science, Riemann hypothesis, Nash equilibrium, Pólya frequency functions