Question

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 to_____a lawyer, and for Labor to_____a lawyer.

Answer 1

Answer: hire; hire

Step-by-step explanation:

The Nash equilibrium for this game is for Management to hire a lawyer, and for Labor to hire a lawyer.

The Nash Equilibrium is the solution in a game where the parties are not cooperative with one another and refers to the strategy at which neither party would not want to move from as it would not benefit them to do so.

The Nash Equilibrium here is that they both hire a lawyer because if one side decides not to hire a lawyer, they could win only one tenths of the time. Both of them will therefore hire lawyers and neither would go without a lawyer on the chance that the other hires a lawyer.