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Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 37 / 4 / a

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2014 iii Paper 37 4
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a
Use net monetary gain as payoff and order each player's pure strategies as 1,2,4. The payoff matrix for the first player is
A=​01−4​20−4​−1−20​​.​
(1)
The second player's matrix is −A. Equal choices return both stakes, so the diagonal is zero; when the first player wins, their net gain is the other's stake, and when they lose it is minus their own stake. This is a matrix game, hence a zero-sum game and a normal-form game.

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