ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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Question
10. Game theory terminology
Select the term that best describes each definition listed in the following table.
Definition
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Nash Equilibrium
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Dominant Strategy
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Collusion
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Tit-for-tat Strategy
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Payoff Matrix/Table
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Prisoners' Dilemma Game
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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 |
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A strategy in which a player cooperates until the other player defects and then defects until the other player cooperates again |
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A case in which individually rational behaviour leads to a jointly inefficient outcome |
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A player's best choice, if it exists, regardless of his or her opponent's strategy |
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- Table 8. This table shows a game played between two players, A and B. The payoffs are given in the table as (Payoff to A, Payoff to B). A Select one: Up Middle Down Left (4,2) a. Middle-Center O b. Down-Center (3, 1) (1,3) B Center (2,5) (5, 3) (4,4) Refer to Table 8. This table shows a game played between two players, A and B. The payoffs in the table are shown as (Payoff to A, Payoff to B). Which of the following outcomes represents a Nash equilibrium in the game? Right (3, 3) (5,2) (6, 1) O c. Up-Left O d. More than one of the above is a Nash equilibrium in this game.arrow_forward4) Consider the following payoff matrix: Player 1 Strategy A Strategy B c) Is the payoff matrix symmetric? Player 2 Strategy A Strategy B (0,0) (7,4) (2,2) (3,3) a) Does either player have a dominant strategy? b) Is there one or more Nash Equilibrium? 1arrow_forward1. Consider the following game matrix. Player A Answer: Top Bottom Left a, b e, f Player B Right c, d g, h (a) If top and left are strictly dominant strategies, then what do we know the relationship of the parameters? (b) If (top, left) is a Nash equilibrium, then what do we know the relationship of the parameters? Answer: (c) If top and left are strictly dominant strategies, will (top, left) be a Nash equilibrium? Why? Answer: (d) If (top, left) is a Nash equilibrium, must the strategies be strictly dominant strategies? Why? Answer:arrow_forward
- Player 1 Cooperate (C) Defect (D) Cooperate (C) 3,3 8,0 Player 2 Defect (D) 0,8 1,1 In general, a combination of strategies is a Nash equilibrium if ... Every player is choosing a best response against the other players' strategies. Every player has a positive payoff. The players maximize the sum of their payoffs. The players choose identical strategies. If the game is repeated, which cooperative actions could benefit both players? O Both players choose C. Player 1 chooses C, Player 2 chooses D. O Player 1 chooses D, Player 2 chooses C. Both players choose D.arrow_forwardGame Theoryarrow_forwardTopic is information economicsarrow_forward
- 5arrow_forward7. Solving for dominant strategies and the Nash equilibrium Suppose Gabriel and Nia are playing a game that requires both to simultaneously choose an action: Up or Down. The payoff matrix that follows shows the earnings of each person as a function of both of their choices. For example, the upper-right cell shows that if Gabriel chooses Up and Nia chooses Down, Gabriel will receive a payoff of 6 and Nia will receive a payoff of 4. Gabriel Up Down Up 6,3 3,3 Nia Down 6, 4 7,4 In this game, the only dominant strategy is for to choose The outcome reflecting the unique Nash equilibrium in this game is as follows: Gabriel chooses and Nia choosesarrow_forward11. Game theory terminology Complete the following table by selecting the term best described by each definition. 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 A strategy in which a player cooperates until the other player defects and then defects until the other player cooperates again The event that occurs when agents in a game form an agreement about which strategies to implement Tit-for- Definition Payoff Matrix Dominant Strategy Nash tat Prisoners' Dilemma Equilibrium Strategy Game Collusion A player's best choice, if it exists, regardless of their opponent's strategy O O O O O O O O O Oarrow_forward
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