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Type | Journal Article |
Scope | Discipline-based scholarship |
Title | A game-theoretic implication of the Riemann hypothesis |
Organization Unit | |
Authors |
|
Item Subtype | Original Work |
Refereed | Yes |
Status | Published in final form |
Language |
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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 |
PDF File | Download from ZORA |
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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 |