Q11) Explain the pay off matrix below in the context of the prisoner's dilemma:Table 1.3: Erica and Fred's game.FredTestifyRemain silentTestify(-14,–14)(0, – 15)EricaRemain silent(-15, 0)(-1, –1)

The prisoner's dilemma would result in a game of two players and two strategies. The prisoner's…

Answered: Table 1.3: Erica and Fred's game. Fred…

Table 1.3: Erica and Fred's game. Fred Testify Remain silent Testify (-14,–14) (0, – 15) са Remain silent (-15,0) (-1, –1)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter13: best-practice Tactics: Game Theory

Section: Chapter Questions

Problem 2E

See similar textbooks

Similar questions

10) Consider a repeated game in which the following one-shot game between two players is repeated "infinitely." Denote by "d" the discount factor. (Assume both players have the same discount factor.) Player 2 Cooperate Defect Player 1 Cooperate 5, 4 0, 5 Defect 6, 0 1, 1 The two players try to support cooperation by using "grim trigger strategy" as discussed in class. Answer YES or NO to each of the following three questions. (a) Can they support cooperation if the common discount factor, d, is equal to 0.23? (b) Can they support cooperation if the common discount factor, d, is equal to 0.4? (c) Can they support cooperation if the common discount factor, d, is equal to 0.15?
Common pool resource game) Consider a common pool resource game with two appropriators. (If you don’t know what is a common pool resource, read the Wikipedia article about the ”Tragedy of the Commons”.) Each appropriator has an endowment e > 0 that can be invested in an outside activity with marginal payoff c > 0 or into the common pool resource. Let x ∈ X ⊆ [0, e] denote the player’s investment into the common pool resource (likewise, y denotes the opponent’s investment). The return from investment into the common pool resource is x x+y · ((x + y) − (x + y) 2 ). So the symmetric payoff function is given by π(x, y) = c · (e − x) + x x+y · ((x + y) − (x + y) 2 ) if x > 0 and c · e otherwise. Assume 1 − e < c < 1. Find Nash equilibrium of the game. Proceed by deriving the best response correspondences first. How does Nash equilibrium depend on parameters c and e (varying one at a time and keeping the others fixed)?
The US and Canada have overfished North Atlantic cod stocks nearly to the point of extinction. Both countries wish to preserve the cod industry (and hence the cod stocks), so the two countries sign an agreement to limit fish hauls. Each country has two possible strategies: comply with the agreement (limit fishing) or renege on the agreement (overfish). Each country’s payoffs for different strategy combinations are given in the matrix below. The numbers in the cells represent utilities, and the payoff ordering is (US, Canada). QUESTIONS: 1.If this is a one-shot game (i.e., it is played once), do the players have a dominant strategy? If so, what is it? Briefly explain your answer. 2.What is the equilibrium of this game? Is it Pareto-optimal? How do you know?
13. Which of the following games have many Nash equilibria in pure strategies? (A) centipede games; (B) coordination games;( C) prisoner’s dilemma; (D) none of the above. 14. Empirical data suggests that subjects do better than predicted by game theory at (A) signalling and coordination; (B) backward induction; (C) mixing their strategies; (D) none of the above. can you help me answer number 14 please?
Answer the following question using the attached payoff matrix 1. Is there a Prisoners Dilemma in any of the quadrants? If so, explain how do you know by showing your understanding of a Prisoner's Dilemma. If not, explain why not.
Two athletes of equal ability are competing for a prize of $10,000. Each is deciding whether to take a dangerous performance enhancing drug. If one athlete takes the drug, and the other does not, the one who takes the drug wins the prize. If both or neither take the drug, they tie and split the prize. Taking the drug imposes health risks that are equivalent to a loss of X dollars. a) Draw a 2×2 payoff matrix describing the decisions the athletes face. b) For what X is taking the drug the Nash equilibrium? c) Does making the drug safer (that is, lowering X) make the athletes better or worse off? Explain.
Mary and Raj are the only two growers who provide organically grown corn to a local grocery store. Table below represents the choices available to Mary and Raj and the payoffs associated with each outcome. What is the best choice for Raj if he is sure that Mary will cooperate? If Mary thinks Raj will cheat, what should Mary do and why? What is the prisoner’s dilemma result? (A = Work independently; B = Cooperate and Raise prices. Each results entry lists Raj earnings first, and Mary's earnings second.) Mary A B Raj A ($100, $100) ($200, $0) B ($0, $200) ($150, $150)
Two athletes of equal ability are competing for a prize of $12,000. Each is deciding whether to take a dangerous performance-enhancing drug. If one athlete takes the drug and the other does not, the one who takes the drug wins the prize. If both or neither take the drug, they tie and split the prize. Taking the drug imposes health risks that are equivalent to a loss of XX dollars. Complete the following payoff matrix describing the decisions the athletes face. Enter Player One's payoff on the left in each situation, Player Two's on the right. Player Two's Decision Take Drug Don't Take Drug Player One's Decision Take Drug , , Don't Take Drug , , True or False: The Nash equilibrium is taking the drug if X is greater than $6,000. True False Suppose there was a way to make the drug safer (that is, have lower XX). Which of the following statements are true about the effects of making the drug safer? Check all that…
In the question that follows, n refers to the number of people rather than a fraction of the population. In the land of Pampa, living in the countryside gives you a fixed payoff of 100 (Pampa has lots of land), while living in a city gives you a payoff that first increases with the number of people living in the city (agglomeration), and then declines after the number of people goes above a certain threshold (congestion). Let us write this payoff as r = 20n - n²/2, where n is the number of city dwellers in that particular city. (a) Let N be the total population in Pampa. If only one city can exist in the entire country, trace out the set of equilibria (i.e., population allocations between countryside and city) as N varies from 0 to infinity. (b) Now suppose that new cities can come up, each yielding exactly the same payoff function as above. Focus on the equilibrium in each case with the maximum possible city dwellers, and explain how this equilibrium will move with the overall…
The following table contains the possible actions and payoffs of players 1 and 2. Player 2 Cooperate Not Cooperate Player Cooperate 15 , 15 -20 , 20 1 Not Cooperate 20 , -10 10 , 10 This game is infinitely repeated, and in each period both players must choose their actions simultaneously. If both players follow a tit-for-tat strategy, then they can Cooperate in equilibrium if the interest rate r is . At an interest rate of r=0.5, . If instead of playing an infinite number of times, the players play the game only 10 times, then in the first period player 1 receives a payoff of
Consider the bargaining problem of splitting a pie of size 1 with utility u(x1) = x1 for player 1 and v(x2) = 2x2 − x22 for player 2, where x1 and x2 denote the share of the pie for player 1 and 2 respectively. What is the Nash bargaining solution if the disagreement outcome is any d1 and d2 in S (utility possibility frontier)?
Consider the following game. There are two payers, Player 1 and Player 2. Player 1 chooses a row (10, 20, or 30), and Player 2 chooses a column (10/20/30). Payoffs are in the cells of the table, with those on the left going to Player 1 and those on the right going to player 2. Suppose that Player 1 chooses his strategy (10, 20 or 30), first, and subsequently, and after observing Player 1’s choice, Player 2 chooses his own strategy (of 10, 20 or 30). Which of the following statements is true regarding this modified game? I. It is a simultaneous move game, because the timing of moves is irrelevant in classifying games.II. It is a sequential move game, because Player 2 observes Player 1’s choice before he chooses his own strategy.III. This modification gives Player 1 a ‘first mover advantage’. A) I and IIB) II and IIIC) I and IIID) I onlyE) II only