General Mathematics

    

A Practical Guide to Finding Optimal Strategy

Authors: Felipe Wescoup

This paper provides a practical guide for determining the optimal mixed strategy in two-player, zero-sum games. It presents a method for calculating the Nash Equilibrium by starting with the well-understood 2x2 matrix and intuitively extending the logic to 3x3 and larger NxN scenarios. The purpose is not to derive new mathematical theory, but to make the powerful concepts of game theory accessible to a wider audience, such as coaches, athletes, and business strategists. This paper is supplemented by a GitHub repository containing a spreadsheet tool that performs the calculations, allowing for direct practical application of the concepts discussed.

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Submission history

[v1] 2025-10-05 23:42:08

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