EBK INTERMEDIATE MICROECONOMICS AND ITS
12th Edition
ISBN: 9781305176386
Author: Snyder
Publisher: YUZU
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Chapter 5, Problem 6RQ
To determine
The solution for coordination game problem
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Two players, Amy and Beth, play the following game called "race to 50". Amy goes first, and
the two players take turns choosing a number between 1 and 7. On each turn, they add a number to a
running today. The player whose move brings the total to 50 wins the game.
a. If both players play optimally, who will win the game? Does this game have a first-mover
3.
advantage? Explain your reasoning.
b. What are the optimal strategies (complete plans of action) for each player?
Use the following payoff matrix for a one-shot game to answer the accompanying questions. a. Determine the Nash equilibrium outcomes that arise if the players make decisions independently, simultaneously, and without any communication. Which of these outcomes would you consider most likely? Explain. b. Suppose player 1 is permitted to “communicate” by uttering one syllable before the players simultaneously and independently make their decisions. What should player 1 utter, and what outcome do you think would occur as a result? c. Suppose player 2 can choose its strategy before player 1, that player 1 observes player 2’s choice before making her decision, and that this move structure is known by both players. What outcome would you expect? Explain.
Review Chapter 15, Table 15.4, Prisoner Dilemma. Suppose the game starts with both Jesse and Frank planning to “Stay Mum” in the lower right cell. Discuss how each player would evaluate the situation and decide whether to change decisions. If each player makes decisions to minimize the penalty, in which cell will this game end? Is there a Nash equilibrium?
Chapter 5 Solutions
EBK INTERMEDIATE MICROECONOMICS AND ITS
Ch. 5.3 - Prob. 1TTACh. 5.3 - Prob. 2TTACh. 5.4 - Prob. 1MQCh. 5.4 - Prob. 2MQCh. 5.4 - Prob. 3MQCh. 5.4 - Prob. 4MQCh. 5.5 - Prob. 1TTACh. 5.5 - Prob. 2TTACh. 5.5 - Prob. 1MQCh. 5.5 - Prob. 2MQ
Ch. 5.6 - Prob. 1TTACh. 5.6 - Prob. 2TTACh. 5.6 - Prob. 1MQCh. 5.6 - Prob. 2MQCh. 5.6 - Prob. 1.1TTACh. 5.6 - Prob. 1.2TTACh. 5.6 - Prob. 1.1MQCh. 5.6 - Prob. 1.2MQCh. 5.9 - Prob. 1MQCh. 5.9 - Prob. 2MQCh. 5.9 - Prob. 1TTACh. 5.9 - Prob. 2TTACh. 5 - Prob. 1RQCh. 5 - Prob. 2RQCh. 5 - Prob. 3RQCh. 5 - Prob. 4RQCh. 5 - Prob. 5RQCh. 5 - Prob. 6RQCh. 5 - Prob. 7RQCh. 5 - Prob. 8RQCh. 5 - Prob. 9RQCh. 5 - Prob. 10RQCh. 5 - Prob. 5.1PCh. 5 - Prob. 5.2PCh. 5 - Prob. 5.3PCh. 5 - Prob. 5.5PCh. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - Prob. 5.10P
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