Nash Equilibriums for Bimatrix Games

Keith Blakesly

Abstract

Game theory has been a subject of interest for decades due to the fact that the analysis of different
strategies provides the best possible strategy for a given situation. Its application is endless from war to
business. More specifically, the Nash equilibrium looks at a competitive situation which is more applicable
in our world. After learning about game theory, I was instantly mesmerized by the simple, yet complex rules
and analysis of different strategies. Specifically for this paper, I used Mathematica which enabled me to
recreate the payoff matrices and analyze them for the Nash e犀利士 quilibrium looking at different situations.

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