Consider the bargain between Cricket Australia (CA) and the players’ union. The two parties are in a negotiation over the players’ wage w, which proceeds as follows: the union makes a wage offer of w to CA; following this, CA sees the offer and can accept or reject. If CA accepts the offer, CA gets a payoff of 200 – w, where w is the wages paid to the players and union gets a payoff of w. If CA rejects the wage offer, each party gets 0.What is the outcome of the bargaining game?Group of answer choicesThe union offers CA pays a wage w = 10 and CA rejects.The union offers CA pays a wage w = 200 and CA accepts.The union offers CA pays a wage w = 0 and CA accepts.The union offers that CA pays a wage w = 100 and CA accepts.None of the above
Question
Consider the bargain between Cricket Australia (CA) and the players’ union. The two parties are in a negotiation over the players’ wage w, which proceeds as follows: the union makes a wage offer of w to CA; following this, CA sees the offer and can accept or reject. If CA accepts the offer, CA gets a payoff of 200 – w, where w is the wages paid to the players and union gets a payoff of w. If CA rejects the wage offer, each party gets 0.What is the outcome of the bargaining game?Group of answer choicesThe union offers CA pays a wage w = 10 and CA rejects.The union offers CA pays a wage w = 200 and CA accepts.The union offers CA pays a wage w = 0 and CA accepts.The union offers that CA pays a wage w = 100 and CA accepts.None of the above
Solution
The union offers that CA pays a wage w = 100 and CA accepts.
This is because in a bargaining game, both parties aim to maximize their payoff. The union wants to maximize w (the wage), while CA wants to maximize 200 - w (their payoff after paying the wage). The point where both parties get the maximum possible payoff is when w = 100. At this point, the union gets a wage of 100, and CA also gets a payoff of 100 (200 - 100). Therefore, the union will offer a wage of 100, and CA will accept.
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