Rock Paper Scissors and Evolutionary Game Theory

Authors

Christian Cordova, University of Nevada, Las VegasFollow
Rudolf Jovero, University of Nevada, Las VegasFollow
Evan Thomas, University of Nevada, Las VegasFollow

Document Type

Project

Publication Date

2018

Abstract

In Rock Paper Scissors (RPS), three different "species" compete, but no single species has a dominating strategy. In evolutionary game theory, replicator equations model population densities over time. When a mutation is introduced, they are called "replicator-mutator" equations. Using the replicator-mutator equation in [1] we have shown how population density of three species change.

Keywords

Game theory; Mathematics; Population density--Mathematical models

Disciplines

Demography, Population, and Ecology | Physical Sciences and Mathematics | Statistical Models

File Format

pdf

File Size

648 KB

Language

English

Rights

IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/

Repository Citation

Cordova, C., Jovero, R., Thomas, E. (2018). Rock Paper Scissors and Evolutionary Game Theory.
Available at: https://digitalscholarship.unlv.edu/math_365/14