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The welfare effects of third-degree price discrimination with non-linear demand functions

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  • Simon Cowan

Abstract

The welfare effects of third-degree price discrimination are analyzed when demand in one market is an additively shifted version of demand in the other market and both markets are served with uniform pricing. Social welfare is lower with discrimination if the slope of demand is log-concave or the convexity of demand is non-decreasing in the price. The demand functions commonly used in models of imperfect competition satisfy at least one of these sufficient conditions.

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Bibliographic Info

Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 364.

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Date of creation: 01 Oct 2007
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Handle: RePEc:oxf:wpaper:364

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Keywords: Price Discrimination; Monopoly;

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  1. Armstrong, Mark, 2006. "Price discrimination," MPRA Paper 4693, University Library of Munich, Germany.
  2. Schmalensee, Richard, 1981. "Output and Welfare Implications of Monopolistic Third-Degree Price Discrimination," American Economic Review, American Economic Association, vol. 71(1), pages 242-47, March.
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  5. Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
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  7. Christopher D. Carroll & Miles S. Kimball, 1995. "On the concavity of the consumption function," Finance and Economics Discussion Series 95-10, Board of Governors of the Federal Reserve System (U.S.).
  8. Mark Bagnoli & Ted Bergstrom, 2005. "Log-concave probability and its applications," Economic Theory, Springer, vol. 26(2), pages 445-469, 08.
  9. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
  10. Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Cowles Foundation Discussion Papers 937, Cowles Foundation for Research in Economics, Yale University.
  11. Friedman, David, 1987. "Cold Houses in Warm Climates and Vice Versa: A Paradox of Rational Heating," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1089-97, October.
  12. Stole, Lars A., 2007. "Price Discrimination and Competition," Handbook of Industrial Organization, Elsevier.
  13. Holmes, Thomas J, 1989. "The Effects of Third-Degree Price Discrimination in Oligopoly," American Economic Review, American Economic Association, vol. 79(1), pages 244-50, March.
  14. Takanori Adachi, 2005. "Third-Degree Price Discrimination, Consumption Externalities and Social Welfare," Economica, London School of Economics and Political Science, vol. 72(285), pages 171-178, 02.
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Cited by:
  1. Simon GB Cowan & Simon Cowan, 2008. "When does third-degree price discrimination reduce social welfare, and when does it raise it?," Economics Series Working Papers 410, University of Oxford, Department of Economics.
  2. Cowan, Simon & Vickers, John & Aguirre Pérez, Iñaki, 2009. "Monopoly Price Discrimination and Demand Curvature," IKERLANAK 2009-39, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  3. Aguirre Pérez, Iñaki, 2011. "Welfare Effects of Third-Degree Price Discrimination: Ippolito Meets Schmalensee and Varian," IKERLANAK 2011-54, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  4. Adachi, Takanori & Ebina, Takeshi, 2014. "Double marginalization and cost pass-through: Weyl–Fabinger and Cowan meet Spengler and Bresnahan–Reiss," Economics Letters, Elsevier, vol. 122(2), pages 170-175.
  5. Takanori Adachi & Noriaki Matsushima, 2011. "The Welfare Effects of Third-Degree Price Discrimination in a Differentiated Oligopoly," ISER Discussion Paper 0800, Institute of Social and Economic Research, Osaka University.
  6. Czerny, Achim I. & Zhang, Anming, 2014. "Airport congestion pricing when airlines price discriminate," Transportation Research Part B: Methodological, Elsevier, vol. 65(C), pages 77-89.
  7. Li, Youping, 2011. "Timing of investments and third degree price discrimination in intermediate good markets," MPRA Paper 36746, University Library of Munich, Germany.
  8. Li, Youping, 2013. "Timing of investments and third degree price discrimination in intermediate good markets," Economics Letters, Elsevier, vol. 121(2), pages 316-320.
  9. Arghya Ghosh & Alberto Motta, 2011. "Outsourcing with Heterogeneous Firms," Discussion Papers 2011-09, School of Economics, The University of New South Wales.

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