Prove that it is a compact set is it also a convex set if


The set of equilibria is a subset of the product space

Δ(S1) × Δ(S2) × ... × Δ(Sn).

Prove that it is a compact set. Is it also a convex set? If you answer yes, provide a proof; if you answer no, provide a counterexample.

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Mathematics: Prove that it is a compact set is it also a convex set if
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