Publication:

A game-theoretic implication of the Riemann hypothesis

Date

Date

Date
2024
Journal Article
Published version

Citations

Citation copied

Ewerhart, C. (2024). A game-theoretic implication of the Riemann hypothesis. Mathematical Social Sciences, 128, 52–59. https://doi.org/10.1016/j.mathsocsci.2024.01.007

Abstract

Abstract

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.

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11 since deposited on 2024-03-19
Acq. date: 2025-11-13

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1 since deposited on 2024-03-19
Acq. date: 2025-11-13

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Creators (Authors)

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
128

Page range/Item number

Page range/Item number

Page range/Item number
52

Page end

Page end

Page end
59

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

Statistics, probability and uncertainty, general psychology, general social sciences, sociology and political science, Riemann hypothesis, Nash equilibrium, Pólya frequency functions

Scope

Scope

Scope
Discipline-based scholarship (basic research)

Language

Language

Language
English

Publication date

Publication date

Publication date
2024-03-01

Date available

Date available

Date available
2024-03-19

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0165-4896

OA Status

OA Status

OA Status
Hybrid

Metrics

Downloads

11 since deposited on 2024-03-19
Acq. date: 2025-11-13

Views

1 since deposited on 2024-03-19
Acq. date: 2025-11-13

Citations

Citations

Citation copied

Ewerhart, C. (2024). A game-theoretic implication of the Riemann hypothesis. Mathematical Social Sciences, 128, 52–59. https://doi.org/10.1016/j.mathsocsci.2024.01.007

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