normal-form game

Definition

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Matrix description

Games in strategic form are sometimes are sometimes called matrix games due to being described by matrices. This is an $n$-dimensional matrix when there are $n \geq 2$ players. Each cell contains a vector with $n$ coordinates, containing payoffs to the $n$ players. Named bimatrix game when $n=2$, as there are two payoff matrices, one for each player.

References

1. M. Maschler, E. Solan, and Shmuel Zamir, Game Theory, Cambridge University Press, 2013, pp. 77-78.