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Social and Behavioral Sciences Commons

Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics

2018

University of Nevada, Las Vegas

Mathematics

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Full-Text Articles in Social and Behavioral Sciences

Rock Paper Scissors And Evolutionary Game Theory, Christian Cordova, Rudolf Jovero, Evan Thomas Jan 2018

Rock Paper Scissors And Evolutionary Game Theory, Christian Cordova, Rudolf Jovero, Evan Thomas

Math 365 Class Projects

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.