**4. Game Theory Terminology**Select the term that best describes each definition listed in the following table.| **Definition** | **Nash Equilibrium** | **Dominant Strategy** | **Collusion** | **Tit-for-tat Strategy** | **Payoff Matrix** | **Prisoners' Dilemma Game** ||----------------|----------------------|----------------------|---------------|--------------------------|------------------|------------------------|| A set of strategies (one for each player) in which each player's strategy is the best option for that player, given the chosen strategy of the player's opponents. | ○ | ○ | ○ | ○ | ○ | ○ || The event that occurs when agents in a game form an agreement about which strategies to implement. | ○ | ○ | ○ | ○ | ○ | ○ || A player’s best choice, if it exists, regardless of his or her opponent’s strategy. | ○ | ○ | ○ | ○ | ○ | ○ || A strategy in which a player cooperates until the other player defects and then defects until the other player cooperates again. | ○ | ○ | ○ | ○ | ○ | ○ |Key:- ○ indicates a selectable option for each definition relative to the terms provided.

A set of strategies (one for each player) in which each player.....- Nash equilibrium The event…

Answered: Tonowing tabie. Prisoners' Payoff…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

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QUESTION 2 In the game above, what is/are the sub-game perfect Nash equilibrium? (up, up) (up, down) ( down, up) (down, down) No equilibrium exists QUESTION 2 Up Down Player 1 No equilibrium exists Up In the game above, what is/are the sub-game perfect Nash equilibrium? (up,up) (up,down) (down, up) □ (down, down) Down Up Down Player 2 P1 gets $45 P2 gets $155 P1 gets $100 P2 gets $10 P1 gets $85 P2 gets $85 P1 gets $95 P2 gets $95
Consider the game given. The top number is player 1’s payoff and the bottom number is player 2’s payoff.a. Find the SPNE.b. Find a Nash equilibrium that is not an SPNE.
Problem 2. Consider the partnership-game we discussed in Lecture 3 (pages 81-87 of the textbook). Now change the setup of the game so that player 1 chooses x = [0, 4], and after observing the choice of x, player 2 chooses y ≤ [0, 4]. The payoffs are the same as before. (a) Find all SPNE (subgame perfect Nash equilibria) in pure strategies. (b) Can you find a Nash equilibrium, with player 1 choosing x = 1, that is not subgame perfect? Explain.
While game theory predicts non-cooperative behavior for a one-shot Prisoner's dilemma. By repeating the game, say 20 rounds, it becomes possible to adopt more complex strategies that allow cooperative play as a Nash Equilibrium in at least some rounds of the game. True False
Up Down Up Up Down Down Player 1 Player 2 In the game above, what is/are the EFFICIENT sub-game perfect Nash equilibrium? (up,up) (up,down) (down, up) (down, down) No EFFICIENT equilibrium exists P1 gets $45 P2 gets $155 P1 gets $100 P2 gets $10 P1 gets $85 P2 gets $85 P1 gets $95 P2 gets $95
A Nash Equilibrium is the equilibrium of a game in which; Both players get the largest payoff amount Both players get the best payoff independent of what the other players choices are Both player, with the knowledge of what the other players possible moves are, do not have incentive to deviate from their strategy There is incomplete information of the game and each player makes the move that is best for them and their payoff outcome
Fred and Naomi are trying to decide how to spend Sunday. Their payoffs in terms of satisfaction are below. Fred's strategy Football Naomi strategy Football Movie There is no dominant strategy Dominant strategy is football Dominant strategy is movie There is no Nash equilibrium 5,3 1,1 Movie 0,0 3,5
Problem 4 Consider the following two-person game Player 2 R 0,1 2, 3 Player 1 M 5, 9 7, 3 1, 7 5, 5 10, 10 1, 5 a) Find the dominant strategies for both players. b) Explain why (B, L) is not a Nash Equilibrium. c) Find the Nash equilibrium of the above game
мсо 47 In game theory, a Nash equilibrium implies: A all the answers to this question are correct B I do not want to answer this question. C there are no dominant strategies for any of the players D a collusive strategy among the players will eventually be established in the long run E there is no incentive for any player to alter the strategy currently played F risk aversion is likely to dominate the outcome for repeated games
In a small town there are two pizza restaurants . If neither restaurant advertises, its revenue will not change. If only one firm advertises, the firm that advertises will double its revenue and the firm that doesn't advertise will see a decrease in its revenue, but if both firms advertise, their revenue will not change. What outcome would be predicted by game theory in this market? Both restaurants will advertise. Game theory would predict chat sometimes one restaurant would advertise, and the rest of the time both will advertise. Neither restaurant will advertise Game theory is only a theory and cannot predict real-world events. One restaurant will advertise.

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