In an extensive-form game with perfect recall is every nash


In an extensive-form game with perfect recall, is every Nash equilibrium part of a sequential equilibrium?

That is, for every Nash equilibrium σ∗ does there exist a belief system μ that satisfies the property that (σ∗, μ) is a sequential equilibrium?

If yes, prove it. If not, construct a counterexample.

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Game Theory: In an extensive-form game with perfect recall is every nash
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