Consider the following normal form representation of a negotiation between management and labor over wages: Management Bargain Hard Be Nice Labor Bargain Hard 0,0 10, 15 Be Nice 19,8 12, 12 Number of pure strategy Nash equilibria in this simultaneous-move game: 2 earn 19 If Management can credibly move first, they will be a
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- The figure depicts the efficiency wage equilibrium of a worker and a firm. Based on this information, which of the following statements is correct? socosts Worker's best response curve 610 12 Hourly wage, S O This is a sequential game where the firm chooses its action given the worker's best responses to its actions. Therefore the worker receives no rent. O AIA, given that the firm pays the hourly wage of $12, the worker's best response is to exert an effort of 0.5. O The employer makes profits by coercing the worker to put in some effort O ALA, given that the worker exerts an effort level of 0.5, the firm's best response is to offer the hourly wage of $12.Consider the game below with a worker (W) and a firm (F). The worker initially can choose to acquire skills or not acquire skills. If the worker does acquire skills, the firm then gets to decide whether to compensate the worker or not. The extensive form of the game and the payoffs are below. Which of the following is true? W Acquirre Not Acquire There is no Nash equilibrium. C Compensate Not Compensate This game has a single Nash equilibrium. There are two Nash equilibria. None of the above. (0,0) Both players have a strictly dominant strategy. (10,10) (-5,20)parameter z= 1 In the unique subgame perfect Nash equilibrium, what is the sum of the payoffs tothe two players?
- Problem 3. Consider the following game with three firms. First, firms 1 and 2 si- multancously choose quantities q1 and q2 respectively. After observing firm 1 and 2's quantities, firm 3 chooses its quantity q3. There is no production cost and the inverse demand function is p= 12 – (91 +2 + 93). (a) Compute the SPNE of this game. (b) Give an example of Nash equilibrium s* with s = 4 and s, = 6 , that is not subgame perfect. game theory questionConsider trade relations between the United States and Mexico. Assume that the leaders of the two countries believe the payoffs to alternative trade policies are as follows a. What is the dominant strategy for the United States? For Mexico? Explain. b. Define Nash equilibrium. What is the Nash equilibrium for trade policy? c. In 1993, the U.S.Congress ratified the North American Free Trade Agreement, in which the United States and Mexico agreed to reduce trade barriers simultaneously. Do the perceived payoffs shown here justify this approach to trade policy? Explain. d. Based on your understanding of the gains from trade (discussed in Chapters 3 and 9), do you think that these payoffs actually reflect a nation's welfare under the four possible outcomes?Consider a firm and a worker interacting in the market product (m) and the worker knows her/his outside opt workers simultaneously demands a wage wL. The wor gets a wage w3(wF+wL)/2. If wF<wL, worker does not worker is hired, 0 otherwise. The worker's payoff of w are identically and independently drawn from a unifor This game can be modelled as a double auction. In a li Select one or more: a. The wage demand by the worker is a linear function b. The strategy of the firm is a linear function v. C. The wage offer by the firm is a linear function of m. d. The strategy of the players are linear functions of the (Game - Theory) This is MCQI just need one correct option URGENT
- 1) What are the Nash equilibria? Which one is unreasonable/non-credible threat? 2) What are the subgame perfect Nash equilibria? Does SPNE concept eliminate the unreasonable Nash equilibrium?QUESTION 8 Player 1 chooses between Up and Down. Player 2 observes this, then chooses between Up and Down herself. If both players choose the same action, they both get a payoff of 1. If they choose different actions, the player with Up gets 1 and the player with Down gets -1. Hov many (pure strategy) Nash equilibria are there in this game? 1 3 4 QUESTION 9 In the Bertrand model, suppose that each firm has a marginal cost of £10 and that firm 1 sets a price of £9.99, which of the following a best-response for firm 2? Click all the correct answers. £10.01 £9.98 £10.00 £11.01 O £9.99 QUESTION 10 In a Lindahl equilibrium, which of the following is true: O The quantity of public goods provided satisfies the Samuelson rule. The quantity of public goods consumed is more than the quantity of private goods. individuals pay the same tax shares. Individuals who have a higher demand for public goods consume more public goods. O O O O OLet G be the following static zero sum game. Rose ABCD А A 4 -2 Colin B C D -4 -3 L с -1 7 5 -2 5236 7123 -2 (a) Draw the movement diagram of G. (b) Using the method of iterated elimination of dominated strategies, find the smallest subgame of G from which the solution of G can be realized. (You do not have to find the solution of the game.)
- In labor-management relations, both labor and management can adopt either a friendly or hostile attitude. The results are shown in the following payoff matrix. The numbers give the wage gains made by an average worker. Is this game strictly determined? Management Labor Friendly Hostile Friendly 500 400 Hostile 700 1300 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Yes, this game is strictly determined. The saddle point is attitude. B. Yes, this game is strictly determined. The saddle point is attitude. C. Yes, this game is strictly determined. The saddle point is attitude. D. Yes, this game is strictly determined. The saddle point is attitude. O E. No, this game is not strictly determined. . The optimum strategy for labor is to adopt a friendly attitude. The optimum strategy for management is to adopt a friendly The optimum strategy for labor is to adopt a hostile attitude. The optimum strategy for management is to adopt a…Consider the following price game: Firm 1 Firm 2 High Low High 20, 20 12, 24 Low 24, 12 14, 14 Remark: In simultaneous move games (games with rows and columns) theconvention is to write the row player’s payoff first and the column player’spayoff second. (a) What is the Nash equilibrium of this game? Recall that for each playeryou should find the best response to each of the opponents’ strategies andunderline the associated payoff. Then look for a cell where both strategiesare best responses to each other. This is a Nash equilibrium. (b) Does either firm have a dominate strategy (a strategy that is always abest response)?fnan421 Word Gozden Geçir Górunum Vard m e vaomak sted nz sOv eyin 1) Two firms, X and Y, are planning to market their new products. Each firm can develop either TV or Laptop. Market research indicates that the resulting profits to each firm for the alternative strategies are given by the following payoff matrix: FIRM Y TV LAPTOP FIRM X TV 30, 30 20, 35 LAPTOP 40,70 20, 20 A) What is the cooperative outcome? B) Which firm benefits most from the cooperative outcome? How much would that firm need to offer the other?