Consider a three-player game where the strategy of player i is ri ∈ [1,2]. Player 1’s payoff function is V1(r1, r2, r3) = 1 - r1 + 2r2 - 3r3, player 2’s payoff function is V2(r1, r2, r3) = 1 + r1 + 4r2 + 2r3, and player 3’s payoff function is V3(r1, r2, r3) = (3 - r1 - r2)r3. Find all Nash equilibria.

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