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Show that a pure-strategy open-loop nash equilibrium of a

Question: (a) Show that a pure-strategy open-loop Nash equilibrium of a deterministic game in which action spaces depend only on time is a closed-loop Nash equilibrium. Hint: Use the analogy with a control (single decision maker) problem.

(b) Does this result hold when the open-loop Nash equilibrium is in mixed strategies? When the players learn stochastic moves by nature?

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