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WHAT WOULD THE STOCK LEVEL BE AFTER ONE YEAR UNDER THIS STRATEGY?

WHAT WOULD THE STOCK LEVEL BE AFTER ONE YEAR UNDER THIS STRATEGY?

Problems/Analyses

1. Suppose two countries with domestic cap-and-trade markets are considering linking their two systems. Country A has a cap of 60 tons of emissions, a domestic marginal cost of abatement of 2QA, where QA = tons of abatement by country A, and an uncontrolled emissions level of 90 tons. Country B has a cap of 50 tons, a domestic marginal cost of abatement of QB, where QB = tons of abatement by country B, and an uncontrolled emissions level of 80 tons.

a. [5 points] Before linkage what would be the permit prices in the two separate markets and how much would each country abate?

2

Now suppose these two markets were linked by allowing each country to buy from and sell allowances to the other:

b. [5 points] Which country would have an incentive to sell permits, and which country would have an incentive to buy permits? Explain why.

3

c. [5 points] What would be the resulting permit prices in the two markets and how much would each country end up abating?

4

d. [5 points] Compare the total control costs (the sum of both countries’ abatement costs) with and without linkage. Which system is more cost-effective? Why?

5

2. The figure below depicts the relationship between fish stock and annual growth in a particular fishery.

50

40

30

20

10

0

-10

0 1

0 100 110

0 20 3

04

05

06

07

08

09

Stock (1000s tons)

a. [10 points] In the figure above, label the points which represent: (i) the unstable equilibrium;
(ii) the stable natural equilibrium; and
(iii) the maximum sustainable yield.

6

Annual Growth (1000s tons)

b. [5 points] Suppose the current stock is 50,000 tons and a management strategy is introduced that allows an annual harvest of 40,000 tons:
(i) What would the stock level be after one year under this strategy?

(ii) What would the long-run stock level be? Explain.

7

c. [5 points] Use a well-labeled graph with a total cost curve and a total revenue curve for a fishery to show the difference between:
(i) the economically optimal harvest;
(ii) the maximum sustained yield; and

(iii) the open-access equilibrium.

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