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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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File URL: http://www.economics.ox.ac.uk/materials/working_papers/paper364.pdf
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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. 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.
  2. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
  3. Carroll, Christopher D & Kimball, Miles S, 1996. "On the Concavity of the Consumption Function," Econometrica, Econometric Society, vol. 64(4), pages 981-92, July.
  4. 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.
  5. Mark Bagnoli & Ted Bergstrom, 2005. "Log-concave probability and its applications," Economic Theory, Springer, vol. 26(2), pages 445-469, 08.
  6. An, Mark Yuying, 1995. "Logconcavity versus Logconvexity: A Complete Characterization," Working Papers 95-03, Duke University, Department of Economics.
  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. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
  9. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
  10. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
  11. Armstrong, Mark, 2006. "Price discrimination," MPRA Paper 4693, University Library of Munich, Germany.
  12. 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.
  13. 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.
  14. Stole, Lars A., 2007. "Price Discrimination and Competition," Handbook of Industrial Organization, Elsevier.
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