Is the set of SPE of any extensive form game with perfect information is identical to the set of Nash Equilibria of the induced normal form game? If yes, provide a proof. If no, provide an explanation by illustrating a game.

Managerial Economics: A Problem Solving Approach
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Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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Chapter15: Strategic Games
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Is the set of SPE of any extensive form game with perfect information is identical to the set of Nash Equilibria of the induced normal form game?

If yes, provide a proof.

If no, provide an explanation by illustrating a game.

[Maximum word limit for this question is 80 words.]

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