"Whether the regulator sells or gives away tradeable emission permits free of charge, the quantities of emissions produced by firms are the same." Assume that there are n identical profit-maximising firms where profit for each firm is given by π(e) with л'(e) > 0; π"(e) < 0 and e denotes emissions. Individual emissions summed over all firms gives E which generates environmental damages D(E). Show that the regulator achieves the optimal level of total pollution through a tradeable emission permit scheme, where the permits are distributed according to the following cases: Case (i) the firm purchases all permits; Case (ii) the firm receives all permits free; and Page 3 of 5 ES30031 Case (iii) the firm purchases a portion of its permits and receives the remainder free of charge.

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter14: Environmental Economics
Section: Chapter Questions
Problem 17SQ
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"Whether the regulator sells or gives away tradeable emission
permits free of charge, the quantities of emissions produced by
firms are the same."
Assume that there are n identical profit-maximising firms where
profit for each firm is given by π(e) with л'(e) > 0; π"(e) <
0 and e denotes emissions. Individual emissions summed over
all firms gives E which generates environmental damages
D(E). Show that the regulator achieves the optimal level of total
pollution through a tradeable emission permit scheme, where
the permits are distributed according to the following cases:
Case (i) the firm purchases all permits;
Case (ii) the firm receives all permits free; and
Page 3 of 5
ES30031
Case (iii) the firm purchases a portion of its permits and receives
the remainder free of charge.
Transcribed Image Text:"Whether the regulator sells or gives away tradeable emission permits free of charge, the quantities of emissions produced by firms are the same." Assume that there are n identical profit-maximising firms where profit for each firm is given by π(e) with л'(e) > 0; π"(e) < 0 and e denotes emissions. Individual emissions summed over all firms gives E which generates environmental damages D(E). Show that the regulator achieves the optimal level of total pollution through a tradeable emission permit scheme, where the permits are distributed according to the following cases: Case (i) the firm purchases all permits; Case (ii) the firm receives all permits free; and Page 3 of 5 ES30031 Case (iii) the firm purchases a portion of its permits and receives the remainder free of charge.
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