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omega - Homothetic Preferences

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Author Info
Bipasa Datta
Huw D. Dixon

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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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Related research
Keywords: homothetic; duality.;

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Find related papers by JEL classification:
D1 - Microeconomics - - Household Behavior
D2 - Microeconomics - - Production and Organizations

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  1. Benassy, Jean-Pascal, 1996. "Taste for variety and optimum production patterns in monopolistic competition," Economics Letters, Elsevier, vol. 52(1), pages 41-47, July. [Downloadable!] (restricted)
  2. Obstfeld, Maurice & Rogoff, Kenneth, 1995. "Exchange Rate Dynamics Redux," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 624-60, June. [Downloadable!] (restricted)
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  3. 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. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
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  5. Santoni, Michele, 1996. "Union-Oligopoly Sequential Bargaining: Trade and Industrial Policies," Oxford Economic Papers, Oxford University Press, vol. 48(4), pages 640-63, October. [Downloadable!] (restricted)
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  6. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter. [Downloadable!] (restricted)
  7. repec:att:wimass:199210 is not listed on IDEAS
  8. Datta, Bipasa & Dixon, Huw, 2000. "Linear-homothetic preferences," Economics Letters, Elsevier, vol. 69(1), pages 55-61, October. [Downloadable!] (restricted)
  9. Dixon, H.D., 1992. "Imperfect Competition and Open Economy Macroeconomics," Economics Working Papers 1993-1, School of Economics and Management, University of Aarhus.
  10. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June. [Downloadable!] (restricted)
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  11. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn. [Downloadable!] (restricted)
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