(iii) State coase's theorem and evaluate the following statement in the relevance of the theorem. "It doesn't matter whether the polluter has the right to pollute or the victim has the right to be free of pollution. Either way the outcome is efficient."

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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## Q06

1. Consider a two-person, two-commodity, pure exchange economy with:

\[ U_1 = q_{11}^\alpha q_{12} \]
\[ U_2 = q_{21}^\beta q_{22} \]

\[ q_{11} + q_{21} = q_1^0 \]
\[ q_{12} + q_{22} = q_2^0 \]

(iii) State Coase's theorem and evaluate the following statement in the relevance of the theorem:

"It doesn't matter whether the polluter has the right to pollute or the victim has the right to be free of pollution. Either way, the outcome is efficient."

---

Explanation:

In this problem, an economic model is given involving two individuals and two commodities in a pure exchange economy.

- \( U_1 \) and \( U_2 \) represent the utility functions of the two individuals.
- \( q_{11}, q_{12} \) are quantities of commodities assigned to the first individual.
- \( q_{21}, q_{22} \) are quantities of commodities assigned to the second individual.
- \( q_1^0 \) and \( q_2^0 \) represent the initial endowment of commodities 1 and 2, respectively.

The part circled in red requires stating and evaluating Coase’s theorem in the context of a provided statement, which asserts efficiency regardless of whether property rights favor the polluter or the victim.
Transcribed Image Text:## Q06 1. Consider a two-person, two-commodity, pure exchange economy with: \[ U_1 = q_{11}^\alpha q_{12} \] \[ U_2 = q_{21}^\beta q_{22} \] \[ q_{11} + q_{21} = q_1^0 \] \[ q_{12} + q_{22} = q_2^0 \] (iii) State Coase's theorem and evaluate the following statement in the relevance of the theorem: "It doesn't matter whether the polluter has the right to pollute or the victim has the right to be free of pollution. Either way, the outcome is efficient." --- Explanation: In this problem, an economic model is given involving two individuals and two commodities in a pure exchange economy. - \( U_1 \) and \( U_2 \) represent the utility functions of the two individuals. - \( q_{11}, q_{12} \) are quantities of commodities assigned to the first individual. - \( q_{21}, q_{22} \) are quantities of commodities assigned to the second individual. - \( q_1^0 \) and \( q_2^0 \) represent the initial endowment of commodities 1 and 2, respectively. The part circled in red requires stating and evaluating Coase’s theorem in the context of a provided statement, which asserts efficiency regardless of whether property rights favor the polluter or the victim.
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