Every 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 $3 million). Each side can choose to hire, or not hire, an expensive labor lawyer (at a cost of $300,000) 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 fit in the expected payoff, in dollars, for each cell in the matrix.
Management (M)
No Lawyer Lawyer
No Lawyer L: M: S L: S M: S
Labor (L) Lawyer L: M: S L: S M: S
The Nash equilibrium for this game is for Management toa lawyer, and for Labor toa lawyer.
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