EBK MICROECONOMICS
EBK MICROECONOMICS
2nd Edition
ISBN: 9780134458496
Author: List
Publisher: VST
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Chapter 13, Problem 11Q
To determine

Meaning of first mover advantage and the importance of commitment in games with first mover advantage.

(a)

To determine

Existence of first mover advantage in a game of rock, paper, scissors.

(b)

To determine

Existence of first mover advantage in a market-entrance situation.

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Rock-paper-scissors is a game in which players typically use mixed strategies. Can you think of other examples? What are some of the characteristics of games that usually involve playing mixed strategies?
Consider the following game where two players have to decide if they want to buy a movie ticket or a baseball ticket. They have the highest payoffs when they both buy tickets to the same activity, but must decide simultaneously what to buy without knowing what the other person will do.  a. Does either player have a dominant strategy? b. How many equilibria does this game have? c. Is this an example of a prisoner’s dilemma? Explain. d. What will be the outcome if your friend buys their ticket first and you can observe their choice?
1. Two electricity firms compete in the same market and are deciding their level of advertising in order to increase customers and profits. The following matrix shows the profits (in millions) according to the strategy chosen: Firm 1 Strategies Low Advertising Aggressive Advertising Firm 2 Low Advertising 15, 15 20, -2 Aggressive Advertising -2, 20 5,5 a. Identify the one-shot Nash equilibrium. Comment. b. Suppose the players know this game will be repeated exactly 10 times. Can they achieve payoffs that are better than the one-shot Nash equilibrium? Explain. c. Suppose this game is infinitely repeated and the interest rate is 5%. Can the players achieve the collusive outcome? Explain.
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