Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Aug;88(2):022806. doi: 10.1103/PhysRevE.88.022806. Epub 2013 Aug 08.

Replicator dynamics with turnover of players.

Physical review. E, Statistical, nonlinear, and soft matter physics

Jeppe Juul, Ardeshir Kianercy, Sebastian Bernhardsson, Simone Pigolotti

PMID: 24032882 DOI: 10.1103/PhysRevE.88.022806

Abstract

We study adaptive dynamics in games where players abandon the population at a given rate and are replaced by naive players characterized by a prior distribution over the admitted strategies. We demonstrate how such a process leads macroscopically to a variant of the replicator equation, with an additional term accounting for player turnover. We study how Nash equilibria and the dynamics of the system are modified by this additional term for prototypical examples such as the rock-paper-scissors game and different classes of two-action games played between two distinct populations. We conclude by showing how player turnover can account for nontrivial departures from Nash equilibria observed in data from lowest unique bid auctions.

Publication Types

• Journal Article
• Research Support, Non-U.S. Gov't
• Research Support, U.S. Gov't, Non-P.H.S.