Question: In the simple tree below the MAX is playing an opponent who plays rationally ( Minimax ) 5 0 % of the time, but acts

In the simple tree below the MAX is playing an opponent who plays rationally

(

Minimax

) 50 %

of the time, but acts randomly for the remaining

50 % .

For what values of x should the MAX player pick the left branch? Are there any values of x for which the MAX should pick the right branch? Hint: Whichever branch the MAX picks

50 %

of the the outcome is given by the Minimax, while

50 %

of the time it is given by Expectimax.

In the simple tree below the MAX is playing an

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