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

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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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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  1. Christopher D. Carroll & Miles S. Kimball, 1995. "On the Concavity of the Consumption Function," Macroeconomics 9503003, EconWPA.
  2. Jerry A. Hausman & Jeffrey K. MacKie-Mason, 1988. "Price Discrimination and Patent Policy," RAND Journal of Economics, The RAND Corporation, vol. 19(2), pages 253-265, Summer.
  3. An, Mark Yuying, 1995. "Logconcavity versus Logconvexity: A Complete Characterization," Working Papers 95-03, Duke University, Department of Economics.
  4. Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Social Choice: A Mean Voter Theorem," Cowles Foundation Discussion Papers 938, Cowles Foundation for Research in Economics, Yale University.
  5. 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.
  6. Mark Bagnoli & Ted Bergstrom, 2005. "Log-concave probability and its applications," Economic Theory, Springer, vol. 26(2), pages 445-469, 08.
  7. 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.
  8. 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.
  9. Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
  10. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
  11. Stole, Lars A., 2007. "Price Discrimination and Competition," Handbook of Industrial Organization, Elsevier.
  12. Armstrong, Mark, 2006. "Price discrimination," MPRA Paper 4693, University Library of Munich, Germany.
  13. Schmalensee, Richard., 1980. "Output and welfare implications of monopolistic third-degree price discrimination," Working papers 1095-80., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  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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