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Game Theory 6.0/10

Making the Other Side Indifferent

Row chooses Top or Bottom and Column chooses Left or Right, simultaneously and once. Each cell is (Row's payoff, Column's payoff). Top-Left: (2, 5). Top-Right: (6, 0). Bottom-Left: (6, 2). Bottom-Right: (0, 6). The game has no pure-strategy Nash equilibrium and exactly one Nash equilibrium overall. What is Row's expected payoff in it? Give a reduced fraction.

Related problems & prerequisites

Worth solving first

Source: Standard 2×2 mixed-equilibrium exercise; payoffs original to AxiomIQ.