Draw a payoff tree and use backwards induction

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Suppose firm A is deciding whether to build a small or a large factory in an area where it currently controls the market. After firm A builds its factory, firm B faces a choice of whether to enter the market or not. If firm A builds a small factory, the payoffs are (4,4) and (12,0) if firm B decides to enter or not enter, respectively (profits are in millions of dollars, with the first number for firm A and second number for firm B). If firm A builds a large factory, the payoffs are (-2,-2) and (5,0). Draw a payoff tree and use backwards induction to solve for the Nash equilibrium of this game.

Reference no: EM132414777

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