The set of equilibria of a two player symmetric game

Reference no: EM131330209

A two-player game is symmetric if the two players have the same strategy set S₁ = S₂ and the payoff functions satisfy u₁(s₁, s₂) = u₂(s₂, s₁) for each s₁, s₂ ∈ S₁.

Prove that the set of equilibria of a two-player symmetric game is a symmetric set: if (s₁, s₂) is an equilibrium, then (s₂, s₁) is also an equilibrium.

Reference no: EM131330209

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