1. A game-theoretic implication of the Riemann hypothesis.
- Author
-
Ewerhart, Christian
- Subjects
- *
RIEMANN hypothesis , *NASH equilibrium , *PLEONASM , *MATHEMATICS - 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. • The Riemann Hypothesis (RH) is a famous open problem in mathematics. • This paper constructs generalized difference-form contests related to RH. • These contests admit a unique Nash equilibrium if RH holds true. • We argue that the result is not degenerate in any obvious way. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF