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Suppose a person’s true value for a good they already are endowed with is v and they offer b > v in Becker-Degroot-Marschak task. Why would they be better off (or at least no worse off) bidding b = v?
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- Explains it correctlyWhy is the multiplicity of equilibria in the standart Nash demand game in Nash (1953, ECMA) a problem for Nash’s purposes? How does he deal with this problem in Nash (1953)? Explain.THE PRISONERS' DILEMMA Consider the following simple model of a cocktail party. Alice and Bob are carrying on separate conversations at the party. Alice speaks at volume a and Bob speaks at volume b. The communication benefit to Alice is al(a + b) and the benefit to Bob is b/(a + b). The vocal-strain cost to Alice is ca and the cost to Bob is cb, where c is a parameter. Suppose that the players have two choices: speaking softly at volume 1, or speaking loudly at volume 4. This leads to the following game in strategic form, with Alice choosing the row and Bob choosing the column. a = 1 a = 4 b = 1 0.5-c, 0.5-c 0.8-4c, 0.2-c 0.0400 0.0500 0.0750 0.0800 0.1500 b = 4 0.2 c, 0.8-4c - 0.54c, 0.5-4c For which of the following values of c is this game a prisoners' dilemma? (Mark all values for which this is true.)
- 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?rituo? A. Identify the pure-strategy Nash equilibrium/a in the game below, and identify the Pareto efficient strategy combinations. (You may simply state these, you do not need to show how you derived your answer.) B. Identify the mixed-strategy equilibrium to the game. Show your work. You may use the equations from the "generic" 2X2 game if you wish. Doing it the long way is fine, however. C. State the payoff for each player in the mixed-strategy equilibrium. Is the mixed-strategy combination Pareto efficient? Player 1 U D 20 Player 2 L (10,15) (1,5) R (0,6) (1,6)1) Consider the following variant of the prisoner's dilemma with altruistic preferences. For simplicity, I'm adding 15 to the payoffs of the baseline normal form representation of the game we describe in class which results in the following: Player I\ Player 2 Cooperate Non-Cooperate Cooperate 8.8 0,15 Non Cooperate 15,0 14,14 Assume now that the players are not “selfish”; rather the preference of each player i are represented by the payoff (utility) function m; (a) + ßm; (a) where mi(a) is the payoff received by player i when the strategy profile is a, j is the other player, and ß is a given non-negative number. Player 1's payoff to the strategy profile (Cooperate, Cooperate), for example, is 8+8ß. A) Assume ß = 1. Write the normal form of the game. Is this game a prisoner's dilemma? What is the Nash equilibria of the game? B) Find the range of values of ß for which the resulting game is the prisoner's dilemma.
- A "Prisoner's Dilemma" is a situation in which both parties: a) have an incentive to cooperate(meaning working with the other criminal by keeping one's mouth shut) even without communication b) have an incentive to not cooperate(meaning working with other criminal by keeping one's mouth shut) even through cooperation would be mutually benefical. c)have no incentives to cooperate or not cooperate because either way they lose.Use this information for questions 19-22. Consider the Acid Rain Game with new payoffs below. Total net benefits are given in the payoff matrix below. Country B $96 O $108 $90 Low $120 Abatement High Abatement Country A Low Abatement A: $20 B: $10 A: $21 B: $7 Imagine Country B discounts future profits at d=0.9. If you know that Country A will use the grim reaper punishment, what is the present value of net benefits from deviating for Country B? High Abatement A: $14 B: $18 A: $22 B: $122
- Please show me the correct answer and step, thank you so much for your helpConsider figure 8.2 and 8.3 on pages 218 and 219 from the textbook. . Consider each of the following scenarios separately. 11. I Suppose in the leader country (Country 1) there is a rise in cost of copying at every level of technology gap (A1/A2), possibly caused by factors influencing the cost of copying other than technology gap (possibly education). Show how these graphs will be affected as a result of this new change. On your well labeled graphs you must clearly indicate the shift of the relevant curve (s) and the direction of the shift. Explain your answer in 2-3 sentences. Suppose pandemic reduces population growth decreasing the number of workers available to both the countries by same amount. Show how these graphs will be affected as a result of this new change. On your well labeled graphs you must clearly indicate the shift of the relevant curve (s) and the direction of the shift. Explain your answer in 2-3 sentences.Bill Gates, even though no longer a CEO of Microsoft, still cares about the profits of his company. Assume it costs Microsoft $1 per copy of a new WindowsXX, and the inverse demand for this revolutionary product takes the form P(Q) = 60 – 5Q. A. Assume the plan to chip people worked out perfectly and Bill Gates knows exactly the willingness to pay of all consumers. What would be the profit of Microsoft then? B. Assume instead that Microsoft is allowed to do block-pricing with 2 blocks. What happens to its profit? C. Finally, assume Microsoft was able to separate it's consumers into business owners with inverse demand P (Q) = 40 – Q - and others with inverse demand P (Q) = 20 – 4Q. What would be Microsoft's profit?