Matrix game (LP for game theory)

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Authors: Nick Dotzenrod and Matt Kweon (ChE 345 Spring 2014)

Steward: Dajun Yue, Fengqi You

Date Presented: Apr. 10, 2014

Linear programming (LP) is a simple yet powerful tool that can be used as an aid in decision making under certainty -- that is, the objective, constraints, and any other relevant information about the problem are known. A highly practical application of LP lies in its use in game theory. This page specifically explores how LP can be used to solve a finite two-person zero-sum game, also known as the matrix game, which is one of the simplest form of decision making games.


Game Theory

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Matrix Game

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Minimax Theorem

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example coming soon!


1. S. Tadelis, Game Theory: an Introduction, Princeton University Press, 2013.

2. R. J. Vanderbei, Linear Programming: Foundations and Extensions, Springer, 2008.

3. M. J. Osborne, An Introduction to Game Theory, Oxford University Press, 2004.