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omega - Homothetic Preferences

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  • Bipasa Datta
  • Huw D. Dixon

Abstract

This paper develops a new class of homothetic preferences which generate Marshallian demand curves for individual goods which can be concave, convex or linear in own price under the assumption that agents treat aggregate price indices as given (as in the Dixit-Stiglitz (1977) monopolistic competition model). The preferences are represented by a cost function which has two parameters: omega determining the curvature of the Marshallian demand; gamma determining the elasticity of demand when all prices are equal. The cost function has a restricted form that allows for any relevant combination of these parameters for a given number of goods.

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Paper provided by Department of Economics, University of York in its series Discussion Papers with number 00/19.

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Handle: RePEc:yor:yorken:00/19

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Keywords: homothetic; duality.;

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  1. Mirman Leonard J. & Samuelson Larry & Schlee Edward E., 1994. "Strategic Information Manipulation in Duopolies," Journal of Economic Theory, Elsevier, vol. 62(2), pages 363-384, April.
  2. Benassy, Jean-Pascal, 1996. "Taste for variety and optimum production patterns in monopolistic competition," Economics Letters, Elsevier, vol. 52(1), pages 41-47, July.
  3. Datta, Bipasa & Dixon, Huw, 2000. "Linear-homothetic preferences," Economics Letters, Elsevier, vol. 69(1), pages 55-61, October.
  4. Michele Santoni, . "Union-Oligopoly Sequential Bargaining: Trade and Industrial Policies," Discussion Papers 94/24, Department of Economics, University of York.
  5. Maurice Obstfeld and Kenneth Rogoff., 1995. "Exchange Rate Dynamics Redux," Center for International and Development Economics Research (CIDER) Working Papers C95-048, University of California at Berkeley.
  6. Diewert, W.E., 1993. "Duality approaches to microeconomic theory," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 12, pages 535-599 Elsevier.
  7. Dixit, Avinash K & Stiglitz, Joseph E, 1975. "Monopolistic Competition and Optimum Product Diversity," The Warwick Economics Research Paper Series (TWERPS) 64, University of Warwick, Department of Economics.
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