In the absence of taxes, which technology would the firm choose? Suppose now that the government can impose a lump-sum tax τ that the firm has to pay if it uses the polluting technology. If it uses the clean technology, it does not have to pay any taxes. What is the lowest value of the tax such that the firm would prefer to use the clean technology rather than the polluting one?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

Next, we want to understand some of the mechanisms that can shape the behaviour of negotiators at the COP meetings.1 For simplicity, consider two countries the US (U) and Fiji (F). Each country i ∈ {U, F} can decide whether to impose a positive tax on the emissions of its polluting firms (τi > 0) or to impose no tax (τi = 0).

 

Let’s consider first the effect that the taxes on CO2 would have on emissions and on

profitability. We can think of a representative firm that chooses whether to produce

using a polluting technology (q = P) or a clean technology (q = C). The polluting

technology generates profits of π(P) = 11 with certainty. The clean technology is new

and comes with a risk of lowering profits. In particular, with probability 3/4 the profits

with the clean technology will be π(C) = 12 but with probability ¼ the profits with that

technology will be π(C) = 4. Assume that when the firm is indifferent between the two

technologies, it chooses the clean technology.

 

  1. In the absence of taxes, which technology would the firm choose?
  2. Suppose now that the government can impose a lump-sum tax τ that the firm has to pay if it uses the polluting technology. If it uses the clean technology, it does not have to pay any taxes. What is the lowest value of the tax such that the firm would prefer to use the clean technology rather than the polluting one?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON