Homework Answers
Option: c- Red-Cat-High
Using Backward induction:
Given Player 1 plays Red, Player 2 plays Cat: Player 3 plays High
Given Player 1 plays Red, Player 2 plays Dog: Player 3 plays High
Given Player 1 plays Green, Player 2 plays Cat: Player 3 plays High
Given Player 1 plays Green, Player 2 plays Dog: Player 3 plays Low
Now, considering the next reduced game:
Given Player 1 plays Red, Player 2 plays Cat
Given Player 1 plays Green, Player 2 plays Cat
Moving to the last reduced form:
Now, between Red and Green: Player 1 plays Red
Thus, Red-Cat-High is the solution
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