ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- 2. In this question we will combine a very simplified model of an externality that has long-lasting impacts with the model of discounted utility that we learned in our game theory topic. Consider a hypothetical environmental externality: produced as the byproduct of industrial activity, each unit of emission of a pollutant that is emitted once, today, causes $10 of external harm to society each and every year, starting immediately, forever. Let's say that policymakers apply a discount factor of 8 € (0, 1) to future gains and losses, in an analog of the discounted utility model except for cash payoffs rather than utilities. What would the socially efficient Pigouvian tax on the emission of this pollutant be if we applied a discount factor of (i) 8 = 0.5, (ii) 6 = 0.9, and (iii) 8 = 0.99? Give an intuitive explanation of how to interpret the parameter & in this context, and explain precisely but in simple terms what the goal and effect of the Pigouvian tax would be.arrow_forwardThe equations below represent the demand and supply curves for annual gym memberships in a city. qD= 500 − 2p, qS=0.5p − 50 Because physical activity leads to better health, the city estimates that each annual gym membership saves $30 of public spending on healthcare per year (a positive externality). a. In a graph, show the market and the socially optimal equilibria for annual gym memberships in this city. Does the market equilibrium result in under- or over-consumption of memberships? What is the deadweight loss associated with the market failure in this situation? b. Would you recommend this city to implement a subsidy (a negative Pigouvian tax) to correct this market failure? If so, how much would be the subsidy per unit? What would be the effects of your proposed policy on the quantity, price, and aggregate welfare?arrow_forwardThis is an end-of-chapter problem that I'm struggling with! thanks!arrow_forward
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