Loose Leaf Microeconomics with Connect Access Card
Loose Leaf Microeconomics with Connect Access Card
20th Edition
ISBN: 9781259287084
Author: Campbell R. McConnell, Stanley L. Brue, Sean Masaki Flynn Dr.
Publisher: McGraw-Hill Education
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Chapter 13.A, Problem 1ADQ
To determine

Zero-sum game and the positive-sum game.

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Is 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.
Suppose that there are two firms in a market, firm 1 and firm 2. The marketis declining in size. The game starts in period 0, and the firms can compete in periods 0, 1,2, 3, ... (i.e., indefinitely) if they so choose. Duopoly profits in period t for firm 1 are equalto 105 −10t, and they are 10.5 −t for firm 2. Monopoly profits (those if a firm is the onlyone left in the market) are 510 −25t for firm 1 and 51 −2t for firm 2. At the start of eachperiod, each firm must decide either to “stay in” or “exit” if it is still active (they do sosimultaneously if both are still active). Once a firm exits, it is out of the market forever andearns zero in each period thereafter. Firms maximize their (undiscounted) sum of profits.What is this game’s subgame perfect Nash equilibrium?
Newfoundland’s fishing industry has recently declined sharply due to overfish- ing, even though fishing companies were supposedly bound by a quota agree- ment. If all fishermen had abided by the agreement, yields could have been maintained at high levels. LO4 Model this situation as a prisoner’s dilemma in which the players are Company A and Company B and the strategies are to keep the quota and break the quota. Include appropriate payoffs in the matrix. Explain why overfishing is inevitable in the absence of effective enforcement of the quota agreement. Provide another environmental example of a prisoner’s dilemma. In many potential prisoner’s dilemmas, a way out of the dilemma for a would-be cooperator is to make reliable character judgments about the trustworthiness of potential partners. Explain why this solution is not avail- able in many situations involving degradation of the environment.
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