Economics (Irwin Economics)
21st Edition
ISBN: 9781259723223
Author: Campbell R. McConnell, Stanley L. Brue, Sean Masaki Flynn Dr.
Publisher: McGraw-Hill Education
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Question
Chapter 14, Problem 9RQ
To determine
Nash equilibrium.
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Students have asked these similar questions
Consider a new card game between 2 players:
Michael (player 1) and Phyllis (player 2)
Michael is dealt two cards : O7 and 8. Phyllis is
also dealt two cards: 09 and 10. Now, each of
the players will play 1 card both at the same
time.
The payoff of Michael is 8 points if he plays a
card of opposite color (red/black) than Phyllis,
and otherwise his payoff is 10 points.
The payoff of Phyllis is 1 points if the difference
of the already played card numbers is smaller
than 4, otherwise her payoff is 5 points.
1. Find the action sets of each player
and the action profile of the game.
2. Represent the game in the Normal
form.
3. Find the Best Responses for
Michael.
4. Find the Best Responses for
Phyllis.
5. Find all the Nash Equilibriums of
the game (if any).
3. Consider a two-player, sequential-move game where each player can choose to play right or
left. Player 1 moves first. Player 2 observes player 1's actual move and then decides to move
right or left. If player 1 moves right, player 1 receives £20 and player 2 receives £45. If both
move left, player 1 receives £15 and player 2 receives £30. If player 1 moves left and player 2
moves right, player 1 receives £40 and player 2 receives £40.
a.
Draw the above situation in the form of an extensive form game.
b. Find the sub-game perfect Nash equilibrium of the extensive form game.
1
Chapter 14 Solutions
Economics (Irwin Economics)
Ch. 14.2 - Prob. 1QQCh. 14.2 - The D2e segment of the demand curve D2eD1 graph...Ch. 14.2 - Prob. 3QQCh. 14.2 - Prob. 4QQCh. 14 - Prob. 1DQCh. 14 - Prob. 2DQCh. 14 - Prob. 3DQCh. 14 - Prob. 4DQCh. 14 - Prob. 5DQCh. 14 - Prob. 6DQ
Ch. 14 - Prob. 7DQCh. 14 - Prob. 8DQCh. 14 - Prob. 9DQCh. 14 - Prob. 10DQCh. 14 - Prob. 11DQCh. 14 - Prob. 12DQCh. 14 - Prob. 13DQCh. 14 - Prob. 14DQCh. 14 - Prob. 1RQCh. 14 - Prob. 2RQCh. 14 - Prob. 3RQCh. 14 - Prob. 4RQCh. 14 - Prob. 5RQCh. 14 - Prob. 6RQCh. 14 - Prob. 7RQCh. 14 - Prob. 8RQCh. 14 - Prob. 9RQCh. 14 - Prob. 10RQCh. 14 - Prob. 1PCh. 14 - Prob. 2PCh. 14 - Prob. 3P
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Similar questions
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- 4. Consider a three-player bargaining, where the players are negotiating over a surplus of one unit of utility. The game begins with player 1 proposing a three-way split of the surplus. Then player 2 must decide whether to accept the proposal or to substitute for player 1's proposal his own alternative proposal. Finally, player 3 must decide whether to accept or reject current proposal (it is player 1's if player 2 accepts or player 2's if player 2 offer a new one). If he accepts, then the players obtain the specified shares of the surplus. If player 3 rejects, then the players each get 0. (a) Draw the extensive form game of this perfect-information game. (b) Determine the subgame perfect NE.arrow_forward14. You have baked a cake, but your two dear daughters won't stop fighting on who gets the biggest slice. To settle the dispute, to ask your dear daughter one (DD1) to cut the cake and your dear daughter two (DD2) to choose which piece she wants. (a) Draw the extensive form of the game. Let dear daughter one's strategies be "Cut Evenly" or "Cut Unevenly"; depending on what is on the platter, dear daughter two's strategies might in- clude "Take Big Slice", "Take Small Slice", or "Take Equal Slice". Assign payoffs to dear daughter one and dear daughter two that grow with the size of the slice that they receive. (b) Use backward induction to find the equilibrium outcome of this game. (c) Is the promise to take a small slice by DD2, if DD1 cuts unevenly, credible? Explain carefully. (d) After the rules are announced, dear daughter two says "It is not fair! I want to be the one who gets to cut the cake, not the one who chooses the slice!". Is dear daughter two's complaint valid? You are…arrow_forward5.arrow_forward
- Wal-Mart's dominant strategy is to pick a price of $. Target Price = $30 Price = $17 %3D What is the Nash equilibrium for this game? $6,000 $1,500 O A. The Nash equilibrium is for Target to choose a price of $17 and Wal-Mart to choose a price of $30. Price = $30 $6,000 $11,000 O B. The Nash equilibrium is for Target and Wal-Mart to both choose a price of $30. Wal - Mart C. The Nash equilibrium is for Target to choose a price of $30 and Wal-Mart to choose a price of $17. $11,000 $4,500 Price = $17 %3D $1,500 $4,500 O D. The Nash equilibrium is for Target and Wal-Mart to both choose a price of $17. South OE. O E. A Nash equilibrium does not exist for this game.arrow_forwardIs the game shown by Figure 11.3 in the chapter (not this appendix) a zero-sum game or is it a positive-sum game? How can you tell? Are there dominant strategies in this game? If so, what are they? What cell represents a Nash equilibrium and why? Explain why it is so difficult for Uptown and RareAir to achieve and maintain a more favorable cell than the Nash equilibrium in this single-period pricing game.arrow_forwardSolve this ques quickly...needed urgently...arrow_forward
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