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A game can have more than one Nash equilibria.
(a) True. (b) False.
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- 2This payoff matrix shows a two-player variant of the sushi game, but where B really loves sushi, so her payoffs from getting to eat sushi are higher than A's, and her payoffs from there not being enough sushi are lower than A's. Payoffs are ordered A, B. В A 10, 15 10, 25 20, 15 0, -5 A. Find and state all of the mixed strategy Nash equilibria of the game. If there are multiple equilibria, number them in preparation for answering part "c." B. (From the week 6 lectures) Draw a graph of the expected payoffs for each player. Use these graphs to formulate the decision rule for each player. C. (From the week 6 lectures) Draw a graph of the best replies of the two players. Carefully label each Nash equilibrium.Derive all Nash equilibria of the following game. a1 b1 a1 2,7 3,2 b1 0,0 4,1
- 10Consider the payoff matrix listed below: IS |1, -1 3, 0 |2, 1 0, 3 1, 2 |0, 0 3, 1 5, 3 2, 1 What is the Nash Equilibium of the game? a. (B, R) b. (U, Q) c. (B, S) d. (C, Q) M/2/6We have two players A and B, where A can go L or R, and B can go T, B or R. The payoffs are decided after this. The best description of such games is: Select one: a. Dominant strategies. b. Simultaneous moves. c. Sequential moves. d. Backward induction.
- In this game, which of the following claim is wrong: X с D с D 2 3 Veuillez choisir une réponse. a. 2 0 0 1 3 1 This game is similar to the prisoner dilemma. b. Players do not always play the same best response. C. A the Nash equilibrium, the gains for each player is smaller than for other outcomes. d. D is a dominant strategy for player 1.Jane is interested in buying a car from a used car dealer. Her maximum willingness to pay for thecar is 12 ($12,000). Bo, the dealer, is willing to sell the car as long as he receives at least 9($9,000). What is the Nash bargaining solution to this game?If a strategy profile is a Nash equilibrium, there is at least one player that could achieve higher payoffs by deviating.(a) True. (b) False.
- Game Theory de Drew Fudenberg, Jean Tirole. Exercise 2.6**1.a) If the three executives of a fraudulent organization report nothing to the authorities, each gets a payoff of 100. If at least one of them blows the whistle, then those who reported the fraud get 28, while those who didn’t get -100. Suppose they play a symmetric mixed-strategy Nash equilibrium where each is silent (does not report fraud) with probability p. What is p?A, 0.1B, 0.28C, 0.5D, 0.8 b) In a two-player game, with strategies and (some known and some unknown) payoffs as shown below, suppose a mixed-strategy equilibrium exists where 1 plays C with probability 3/4, and Player 2 randomizes over X, Y, and Z with equal probabilities. What are the pure-strategy equilibria of this game? A, (A, Y) and (B, X)B, (A, Z) and (C, Y)C, (B, X) and (C, X)D, (C, X) and (C, Y)In the table below are the values of the ordinal utility function. Find all Nash equilibria of the game determined by the matrix below? Which of these are strict Nash equilibria?