LABOR ECONOMICS LL W/ ACCESS >IC<
LABOR ECONOMICS LL W/ ACCESS >IC<
7th Edition
ISBN: 9781260144772
Author: BORJAS
Publisher: MCG CUSTOM
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Chapter 10, Problem 14P

Major League Baseball players are not eligible for arbitration or free agency until they have been in the league for several years. During these “restricted” years, a player can only negotiate with his current team. Consider a small-market team that happens to own the rights to last year’s Rookie-of-the-Year. This player is currently under contract for $500,000 for the next 3 years. Because his current team is in a small market, the player’s value to his current team is $6 million per year (now and in the future) When the player becomes eligible for free agency, he will likely command $10 million per year for 7 years in free agency from competing large-market teams. In the questions below, assume the player wants to maximize his lifetime earnings.

  1. (a) What is the worst 10-year contract extension from the player’s point of view that the player would accept from his current team?
  2. (b) What is the best 10-year contract extension from the player’s point of view that his current team would offer him?
  3. (c) Would you expect this player to sign a contract extension or to play out his contract and enter free agency 3 years from now?
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The owner of the Jets is going to offer a contract to a free agent player, Hapoleon. If signed, Hapoleon can give the Jets high effort or low effort. High effort costs Hapoleon $2 million and low effort costs Hapoleon nothing. The Jets’ owner cannot observe Hapoleon’s effort directly. Hapoleon has a guaranteed offer of $10 million from another team, the Sharks. If Hapoleon signs with the Jets, the team can be profitable or not and the Jets’ owner can observe that. If Hapoleon gives high effort, then the probability the Jets are profitable is 80 percent, but if Hapoleon gives low effort, then the probability the Jets are profitable is 40 percent. Hapoleon is the typical risk neutral player and his utility is given by u w() = w .   Calculate the optimal wage levels, wH and wL , that the Jets’ owner should offer Hapoleon to get him to sign with the Jets and give high effort if Hapoleon’s disutility from high effort increases to $3 million. Determine the optimal wage levels, wH and wL ,…
The owner of the Jets is going to offer a contract to a free agent player, Hapoleon. If signed, Hapoleon can give the Jets high effort or low effort. High effort costs Hapoleon $2 million and low effort costs Hapoleon nothing. The Jets’ owner cannot observe Hapoleon’s effort directly.Hapoleon has a guaranteed offer of $10 million from another team, the Sharks. If Hapoleon signs with the Jets, the team can be profitable or not and the Jets’ owner can observe that.If Hapoleon gives high effort, then the probability the Jets are profitable is 80 percent, but if Hapoleon gives low effort, then the probability the Jets are profitable is 40 percent.Hapoleon is the typical risk neutral player and his utility is given by u w() = w . a. If effort were observable, describe the contingent contract the Jets’ owner should offer Hapoleon.As already stated, effort is not observable. The Jets’ owner is optimistic that he can sign Hapoleon. b.Calculate Hapoleon’s expected payoff if he signs with the…
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