Question: Prove the following assertion: for every game tree, the utility obtained by MAX using mini max decisions against a suboptimal MIN will be never be

Prove the following assertion: for every game tree, the utility obtained by MAX using mini max decisions against a suboptimal MIN will be never be lower than the utility obtained playing against an optimal MIN. Can you come up with a game tree in which MAX can do still better using a suboptimal strategy against a suboptimal MIN?

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