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Ewerhart, Christian (2024). A game-theoretic implication of the Riemann hypothesis. Mathematical Social Sciences, 128:52-59.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 03 Faculty of Economics > Department of Economics |
| Dewey Decimal Classification: | 330 Economics |
| Scopus Subject Areas: | Social Sciences & Humanities > Sociology and Political Science
Social Sciences & Humanities > General Social Sciences Social Sciences & Humanities > General Psychology Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Uncontrolled Keywords: | Statistics, probability and uncertainty, general psychology, general social sciences, sociology and political science, Riemann hypothesis, Nash equilibrium, Pólya frequency functions |
| Scope: | Discipline-based scholarship (basic research) |
| Language: | English |
| Date: | 1 March 2024 |
| Deposited On: | 19 Mar 2024 10:57 |
| Last Modified: | 31 Dec 2024 02:36 |
| Publisher: | Elsevier |
| ISSN: | 0165-4896 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1016/j.mathsocsci.2024.01.007 |
Ewerhart, Christian