EBK MICROECONOMICS
9th Edition
ISBN: 8220103630955
Author: Rubinfeld
Publisher: PEARSON
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Chapter 13, Problem 6RQ
To determine
Optimal strategy.
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Students have asked these similar questions
Which player (if any) has a dominate strategy?
What is the Nash Equilibrium of this game?
Does the game satisfy the definition of prisoner dilemma?
Is the solution to the prisoner’s dilemma game a Nash equilibrium? Why?
The solution to the prisoner’s dilemma game is a Nash equilibrium because no player can improve his or her payoff by changing strategy unilaterally.
The solution to the prisoner’s dilemma game is not a Nash equilibrium because players do not end up in the best combination for both.
The solution to the prisoner’s dilemma game is not a Nash equilibrium because both players can improve their payoffs by cooperating.
The solution to the prisoner’s dilemma game is a Nash equilibrium because it is a noncooperative game in which both players have to expect that the other is purely selfish.
Imagine a game where individuals can be either cooperative (like splitting a resource) or selfish (like grabbing the entire resource). Depending on the relative costs and benefits of interacting and the resource, there might be a variety of possible payoff matrices for such an interaction. Of the following matrices, which one illustrates the largest “temptation to cheat?”
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- Two firms are competing on price. If they have the same price, they share the market - otherwise the one with the lowest price captures all demand Market demand follows Q(P)=100-3P Cost is C(Q)=10Q Firms can only choose between the following prices: 9, 10, 11, 12. In the Nash equilibrium of this game, what prices are charged? Suggestion: calculate the profits they obtain for each of the price combinations, write down the game in its normal form (payoff matrix), and then use the underlining method to match best responses. 12 11 9 10arrow_forwardSuppose two players play the prisoners' dilemma game a finite number of times, both players are rational, and the game is played with complete information, is a tit-for-tat strategy optimal in this case? Explain using your own words.arrow_forwardTwo firms are competing on price. If they have the same price, they share the market otherwise the one with the lowest price captures all demand Market demand follows Q(P)=100-3P Cost is C(Q)=10Q Firms can only choose between the following prices: 9, 10, 11, 12. In the Nash equilibrium of this game, what prices are charged? Suggestion: calculate the profits they obtain for each of the price combinations, write down the game in its normal form (payoff matrix), and then use the underlining method to match best responses. U ப U 9 12 10 110 11arrow_forward
- Consider a beauty-contest game in which n players simultaneously pick a number between zero and 100 inclusive; the person whose number is closer to half of the average number wins a prize. What is the unique Nash equilibrium of this game? What number will a level-3 thinker pick?arrow_forwardTrue or false? If a game has a Nash equilibrium, that equilibrium will be the equilibrium that we expect to observe in the real world. False. People don’t always act in the way that a Nash equilibrium requires. People don’t always make the necessary calculations and they take into account the outcome of others. False. A Nash equilibrium is based on very strict assumptions that rarely hold in the real world. No real-world situation leads to a Nash equilibrium. True. As long as people are rational and have their own self-interest at heart, real-life games will result in the Nash equilibrium. True. Nash’s theory of equilibrium outcomes was derived from real-world interactions. The theory holds true for almost all real-world scenarios.arrow_forwardWhich of the following best describes Nash equilibrium? a) A situation where one player dominates the others b) A situation where each player's strategy is optimal given the strategies of the others c) A situation where all players cooperate perfectly d) A situation where players change strategies constantlyarrow_forward
- How many strategies does a player have in the repeated Prisoner's Dilemma Game with horizion 2 ? How many strategies does a player have in the repeated Prisoner's Dilemma Game with horizion 3 ?arrow_forwardIn the Prisoner's Diliemma game, the dilemma is that in the Nash Equilibrium, neither play has pursued an individually rational strategy. True Falsearrow_forwardNash equilibrium refers to the optimal outcome of a game where there is no incentive for the players to deviate from their initial strategy. An individual (or player) can receive no incremental benefit from changing actions, assuming other players remain constant in their strategies. Given this premise, can there be a no Nash equilibrium?arrow_forward
- Suppose that you and a friend play a matching pennies game in which each of you uncovers a penny. If both pennies show heads or both show tails, you keep both. If one shows heads and the other shows tails, your friend keeps them. Show the pay- off matrix. What, if any, is the pure-strategy Nash equilibrium to this game? Is there a mixed-strategy Nash equilibrium? If so, what is it?arrow_forwardFind all the Nash equilibria (in the strategic form) and the subgame perfect nash equilibria in the following game. Are they the same ?arrow_forwardUse the following payoff matrix to answer the questions below. Cooperate Defect 1 Cooperate 100, 100 40, 125 Defect 125, 40 50, 50 Which player (if any) has a Dominant Strategy? [ Select ] What is the Nash Equilibrium of this game? [ Select ] Does this game satisfy the definition of a prisoner's dilemma? [ Select ]arrow_forward
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