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Game Theory 7.0/10

A Unique Mixed Equilibrium

Row chooses a row and Column chooses a column, simultaneously and once. Row's payoffs: Row 1: 3, 1, 5 Row 2: 4, 4, 0 Row 3: 2, 1, 6 Column's payoffs: Row 1: 4, 6, 0 Row 2: 2, 3, 7 Row 3: 7, 6, 4 (The entry in position (i, j) is the payoff to that player when Row plays i and Column plays j.) The game has exactly one Nash equilibrium. What is Row's expected payoff in it? Give a reduced fraction.

Related problems & prerequisites

Worth solving first

Source: Standard bimatrix-game exercise (support enumeration); payoffs original to AxiomIQ.