Exam 7: Static Games With Continuous Strategies

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The Coase theorem asserts that:

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Suppose that the land surrounding a lake is owned by individuals A andB. Both individuals use the lake to earn a living from fishing, where fA and fB represent the total amount of fish extracted from the lake from the two individuals. The benefit from each fish is $50 ! fA !fB. The marginal cost of fishing for each profit-maximizing individual is $20. How many fish will maximize social welfare?

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Suppose that an industry consists of two firms producing an identical product. The market demand for the combined output of both firms is (QA + QB) = 50 !P. The total cost function of each firm is TCi = 1 + 10Qi, where i = A,B. The Nash equilibrium strategy profile for this game is:

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An industry consists of two firms producing identical goods. The market demand for the combined output of both firms is (QA + QB) = 500 !0.5P. The total cost function of each firm is TCi = 250 + 50Qi, where i = A,B. Firm A's best-response function is:

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