1. Historic Behavior in Nonautonomous Rock–Paper–Scissors Dynamics.
- Author
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Saburov, M.
- Subjects
- *
COMPACT operators , *ERGODIC theory , *ORBITS (Astronomy) , *MATHEMATICAL functions , *LEBESGUE measure , *INVARIANT measures , *NATURAL numbers - Abstract
This article, titled "Historic Behavior in Nonautonomous Rock-Paper-Scissors Dynamics," explores the concept of historic behavior in dynamical systems. The author challenges the widely held belief that replicator equations in evolutionary game theory satisfy the "Folk Theorem of Evolutionary Game Theory." The paper proposes a class of replicator equations that exhibit historic behavior, where the time averages of the orbit do not converge. The article also presents some auxiliary results and provides a proof for the main theorem. The research was supported by ongoing institutional funding, and the author declares no conflicts of interest. [Extracted from the article]
- Published
- 2023
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