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- This is game theory questionWhat is the answer to d positive sum game and e payoff matrixAnalyze payoff matrix below. a-) Consider the grim trigger strategy for the game? Analyze the conditions for which this strategy constitutes an subgame perfect equiillbria. b-) Analyze the conditions for the tit for tat strategy to be equilibrium for the following histories: Histories that ends with (C,C) and (C,D) p1/p2 D 3.3 0.5 D 5,0 1,1
- parameter z= 1 In the unique subgame perfect Nash equilibrium, what is the sum of the payoffs tothe two players?What term refers to the optimal action that a player can take, regardless of the opponents' actions? Oa Nash strategy a payoff strategy a cooperative strategy a dominant strategyDerive all of the rationalizable strategies for the game shown.
- 4. Correlated EquilibriaConstruct an example (not one from class or the reading) of a Normal form game with a correlated equilibrium that is not a Nash equilibrium.Consider the following normal-form game (a) Calculate the rationalizable set ? (b) Find all Nash equilibria. (c) Find all mixed-strategy Nash equilibria.Explain why the value of a matrix game is positive if all of the payoffs are positive. A. If the matrix game is strictly determined and all of the payoffs are positive, D=(a+d)−(b+c)will be negative and ad−bcwill be negative. Therefore, the value, v, will be positive. If the matrix game is nonstrictly determined, and all of the payoffs are positive, the saddle value will also be positive. Thus, the value, v, is positive. B. If the matrix game is strictly determined and all of the payoffs are positive, the saddle value will be negative. Thus, the value, v, is positive. If the matrix game is nonstrictly determined, D=(a+d)−(b+c) will be positive and ad−bc will be positive. Therefore, the value, v, will be positive. C. If the matrix game is strictly determined and all of the payoffs are positive, D=(a+d)−(b+c) will be positive and ad−bc will be positive. Therefore, the value, v, will be positive. If the matrix game is nonstrictly determined, and all of the…