The problem:(adsbygoogle = window.adsbygoogle || []).push({});

"Player I can choose l or r at the first move in a game G. If he chooses l, a chance move selects L with probability p, or R with probability 1-p. If L is chosen, the game ends with a loss. If R is chosen, a subgame identical in structure to G is played. If player I chooses r, then a chance move selects L with probability q or R with probability 1-q. If L is chosen, the game ends in a win. If R is chosen, a subgame is played that is identical to G except that the outcomes win and loss are interchanged together with the roles of players I and II"

*whew*

Now the question is... if the value of the game isv, show that v=q+(1-q)(1-v)

Now the game tree is so complicated... I really have no idea how to get the value of the game. Is there any easy way to do this that i'm missing?

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# Homework Help: Game theory: value of a game

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