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Cricket Australia and the players’ union are in negotiations over the players’ wage for the upcoming Ashes tour. The negotiations are as follows. CA makes an offer of a wage w to the union. The union sees this offer and must decide to either accept or reject it. If it accepts the offer, the payoffs are 300 – w for CA, and w for the players’ union. If the union rejects, bargaining moves to a second round, in which the union makes a wage offer w2, which then CA must either accept or reject. If CA accepts the offer of w2, CA gets a payoff of 300 - w2, and the union gets w2.  If CA rejects the offer w2, both parties get 0. Which of the following is a possible outcome as a credible equilibria?Group of answer choicesCA offers a wage w = 0, the union rejects and counters with an offer of w2 = 200, and CA accepts.CA offers a wage w = 0, and the union accepts.CA offers a wage w = 300 and the union accepts.CA offers a wage 0, and the union rejects and counters with an offer of 299, and CA accepts.CA offers a wage of 300, the union rejects and counters with an offer of w2 = 299 and CA accepts.

Question

Cricket Australia and the players’ union are in negotiations over the players’ wage for the upcoming Ashes tour. The negotiations are as follows. CA makes an offer of a wage w to the union. The union sees this offer and must decide to either accept or reject it. If it accepts the offer, the payoffs are 300 – w for CA, and w for the players’ union. If the union rejects, bargaining moves to a second round, in which the union makes a wage offer w2, which then CA must either accept or reject. If CA accepts the offer of w2, CA gets a payoff of 300 - w2, and the union gets w2.  If CA rejects the offer w2, both parties get 0. Which of the following is a possible outcome as a credible equilibria?Group of answer choicesCA offers a wage w = 0, the union rejects and counters with an offer of w2 = 200, and CA accepts.CA offers a wage w = 0, and the union accepts.CA offers a wage w = 300 and the union accepts.CA offers a wage 0, and the union rejects and counters with an offer of 299, and CA accepts.CA offers a wage of 300, the union rejects and counters with an offer of w2 = 299 and CA accepts.

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Solution

The possible outcome as a credible equilibria is: CA offers a wage w = 300 and the union accepts.

Here's why:

In the first round, CA would want to offer a wage that the union would accept to avoid going to the second round where they could potentially end up with nothing. The union, knowing this, would only accept an offer that is equal to or less than their payoff in the second round.

Given that the union's payoff in the second round is w2, and that w2 could be any value between 0 and 300, the union would only accept an offer from CA that is equal to or less than 300. Therefore, CA offering a wage w = 300 and the union accepting is a credible equilibrium.

The other options are not credible equilibria because they either result in CA getting a negative payoff (which they would not accept) or they involve the union rejecting an offer in the first round (which they would not do because they risk ending up with nothing in the second round).

This problem has been solved

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