An matrix which gives the possible outcome of a two-person zero-sum game when player A has possible moves and player B moves. The analysis of the matrix in order to determine optimal strategies is the aim of game theory. The so-called "augmented" payoff matrix is defined as follows:

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Weisstein, Eric W. "Payoff Matrix." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/PayoffMatrix.html