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II. General equilibrium approaches—theory. Geometric models. Standard model of resource allocation, production, trade and welfare An open economy with pollution Measuring pollution and economic welfare. A simple GE model. Assume: Two goods produced and consumed
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II-B II. General equilibrium approaches—theory
II-B Geometric models • Standard model of resource allocation, production, trade and welfare • An open economy with pollution • Measuring pollution and economic welfare
II-B A simple GE model • Assume: • Two goods produced and consumed • Each good is produced using two factors • Constant returns to scale • One factor (labor) is intersectorally mobile; the others are “specific” to sectors • Markets are complete and competitive • Prices are set in world markets
II-B Spot test! • Use the diagram to show the value of total income. • For a given set of consumer preferences, show the pattern of trade. • Demonstrate that (a, b) is an equilibrium (hint: Walras’ Law).
What happens to factor returns when relative output prices change? Returns to specific factors rise (fall) as sectoral output rises (falls) Wage change depends on labor- intensity of expanding sector II-B Spot test!
What happens to the structure of output as specific factor endowments increase? What is the effect of technical progress in a sector? The sector using that factor expands--and the other contracts That sector’s output expands, and the other’s output contracts II-B Spot test!
II-B An open economy with pollution • The Antweiler, Copeland, Taylor (2001) diagram • ‘Clean’ and ‘dirty’ goods • Comparative advantage in dirty good • Tariff on imports of clean good • Effects of trade liberalization: • scale • composition • technique
II-B Factor endowment growth • Scale and composition effects
II-B Environment and economic welfare • ACT model tells us what happens to pollution. • But consumer utility: u = u(c, -z) • Price or endowment changes affect c as well as z: what is the change in net welfare? • example: trade liberalization
II-B Spot test! Q. In the previous example, what is the optimal tariff, and how is it calculated? • Where absolute values of slopes of R and C are equal (marginal environmental benefit=marginal cost in terms of consumption) • Q. What is the optimal tariff on imports of a dirty good? • A. t = 0.
II-B Summary and conclusions • Assumptions about optimizing behavior • Assumptions about markets and technology • Assumptions about trade • Models must make assumptions explicit and be demonstrably consistent • Complications can be introduced, but at a cost • Target of analysis is important. Is it the environment only? Or a broader concept of welfare?
II-B For next sessions • Review duality and basic concepts, if necessary • Buffie, or equivalent. • Look at OEE Ch. 2 models, and/or Ulph (1999).