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In: Economics

very year, management and labor renegotiate a new employment contract by sending their proposals to an...

very year, management and labor renegotiate a new employment contract by sending their proposals to an arbitrator, who chooses the best proposal (effectively giving one side or the other $5 million). Each side can choose to hire, or not hire, an expensive labor lawyer (at a cost of $200,000) who is effective at preparing the proposal in the best light. If neither hires a lawyer or if both hire lawyers, each side can expect to win about half the time. If only one side hires a lawyer, it can expect to win nine tenths, or 0.9, of the time. Use the given information to fill in the expected payoff, in dollars, for each cell in the matrix. (Hint: To find the expected payoff, multiply the probability of winning by the dollar amount of the payoff.

Be sure to account for lawyer costs, which are incurred with certainty if a lawyer is hired.) Management (M) No Lawyer Lawyer Labor (L) No Lawyer L: $______ , M: $ _______L: $_____ , M: $_____ Lawyer L: $ ______, M: $__________ L: $______ , M: $________ The Nash equilibrium for this game is for Management to a___________ lawyer, and for Labor to ___________a lawyer

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