Suppose that Lionel Messi is negotiating a contract with FC Barcelona. Messi has an offer from Real Madrid for $20 million a year. If he signs with FC Barcelona, they will earn $90 million in revenue from the signing. FC Barcelona's next best option is to sign Cristiano Ronaldo. They would earn $70 million from signing Ronaldo and would pay him a contract of $10 million. Messi's bargaining power is w = 1/2. a) What is the negotiated salary between Messi and FC Barcelona under Nash Bargaining? What is Messi's surplus and what is FC Barcelona's surplus? b) Due to an injury, FC Barcelona would only earn $50 million from signing Ronaldo but everything else remains the same. What is the negotiated salary between Messi and FC Barcelona under Nash Bargaining? What is Messi's surplus and what is FC Barcelona's surplus?

Suppose that Lionel Messi is negotiating a contract with FC Barcelona. Messi has an offer from Real Madrid for $20 million a year. If he signs with FC Barcelona, they will earn $90 million in revenue from the signing. FC Barcelona's next best option is to sign Cristiano Ronaldo. They would earn $70 million from signing Ronaldo and would pay him a contract of $10 million. Messi's bargaining power is w = 1/2. a) What is the negotiated salary between Messi and FC Barcelona under Nash Bargaining? What is Messi's surplus and what is FC Barcelona's surplus? b) Due to an injury, FC Barcelona would only earn $50 million from signing Ronaldo but everything else remains the same. What is the negotiated salary between Messi and FC Barcelona under Nash Bargaining? What is Messi's surplus and what is FC Barcelona's surplus?

Principles of Microeconomics

7th Edition

ISBN:9781305156050

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter22: Frontiers Of Microeconomics

Section: Chapter Questions

Problem 6PA

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Exercise 6.1Suppose that two airlines decide to collude. Analyse the game between these two companies. Suppose that each of them can charge for tickets a high price or a low price. If one of them charges 100 euros, it gets few profits if the other also charges 100 euros and high profits if the other charges 200 euros. On the other hand, if the company charges 200 euros, it obtains very little profit if the other charges 100 euros and an average profit if the other also charges 200 euros. a) Represent the matrix of results of this game. b) What is the Nash equilibrium in this game? Explain your answer. c) Is there an outcome that would be better than the Nash equilibrium for the two airlines? How could it be achieved? Who would lose out if it were reached?
This is the answer.. plz write in hand written Here, the given decision tree shows that player 1 moves either to enter or not to enter, while player 2 has two options to choose that are concede and price war. When analyzing the given information, it can be seen that player 1 will surely enter the market as it will give him higher payoff than the payoff when he does not enter as does not enter gives him $1 billion, while entry will give him either $2 billion or $1.5 billion. Therefore, player 1 will enter. After the entry of player 1, player 2 has an incentive to choose to concede as it will give him the payoff of$1.5 billion, while price war will give him $1 billion. Therefore, the outcome of this game would be: (Enter, Concede)
Economics Suppose that Russell Wilson is negotiating a contract with the Seattle Seahawks. Wilson has an offer from the Las Vegas Raiders for $30 million a year. If he signs with the Seahawks, they will earn $60 million in revenue from the signing. The Seahawks next best option is to sign Josh Allen. They would earn $45 million from signing Allen and would pay him a contract of $25 million. Russell Wilson and the Seahawks have equal bargaining power in the sense that they will split the surplus evenly. a) What is the negotiated salary between Wilson and the Seahawks under Nash Bargaining? What is Wilson's surplus and what is Seahawks surplus? b) Suppose that the Seahawks know about an injury to Josh Allen, such that they would only earn $30 million in revenue from signing Allen but would only have to pay him a contract of $20 million. What is the new negotiated salary between Wilson and the Seahawks under Nash Bargaining? What is Wilson's surplus and what is Seahawks surplus?
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3. Suppose that the various Balls of basketball or internet fame Lavar, Lamelo, Liangelo, Lonzo,and Spalding are considering playing in a 1-on-1 tournament. They get a payoff of 0 if theydecide not to participate. The following table illustrates their payoffs across the variousscenarios. 1 Player 2 Players 3 Players 4 Players 5 Players Lavar 10 4 2 -2 -5 Lamelo 10 7 5 2 -1 Liangelo 10 7 5 2 -1 Lonzo 10 8 7 6 5 Spalding 10 9 8 7 6 a. Find and describe all pure strategy Nash Equilibria.b. Suppose now Spalding, since it is in fact a literal basketball, gets a payoff of 0 in anycircumstance, being an inanimate object. The table is now as follows: 1 Player 2 Players 3 Players 4Players 5 Players Lavar 10 4 2 -2 -5 Lamelo 10 7 5 2 -1 Liangelo 10 7 5 2 -1 Lonzo 10 8 7 6 5 Spalding 0 0 0 0 0 Find and describe all pure strategy Nash Equilibria.
Suppose that Lionel Messi is negotiating a contract with FC Barcelona. Messi has an offer from Real Madrid for $20 million a year. If he signs with FC Barcelona, they will earn $90 million in revenue from the signing. FC Barcelona's next best option is to sign Cristiano Ronaldo. They would earn $70 million from signing Ronaldo and would pay him a contract of $10 million. Messi's bargaining power is w = 1/2. a) What is the negotiated salary between Messi and FC Barcelona under Nash Bargaining? What is Messi's surplus and what is FC Barcelona's surplus? b) Due to an injury, FC Barcelona would only earn $50 million from signing Ronaldo but everything else remains the same. What is the negotiated salary between Messi and FC Barcelona under Nash Bargaining? What is Messi's surplus and what is FC Barcelona's surplus?
2. Consider a game that game theory people refer to as the “ultimatum game.”We will refer to our two players as the “offerer” and the “decider”. How the gameworks is that the offerer proposes a way to split $1000 between the two players.While this could be done in a variety of ways, we will assume that the offerersonly has two possible proposals: Either a 50-50 split, or she offers the decider$50 and keeps the rest. The decider can either accept or reject the offer. If the offer is accepted, the money is split as proposed. If the offer is rejected, themoney spontaneously combusts and nobody gets anything. a) List the strategies for each player and write an extensive form version of thegame with payouts. b) List all the Nash equilibria of this game. c) Explain which, if any of the Nash equilibrium are not sub-game perfect. d) Write the game out in normal form and find the pure strategy Nashequilibrium. Explain how this matches with your answers to (b) and (c) . Alsoexplain why there…
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