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Welfare-increasing third-degree price discrimination

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  • Simon Cowan

Abstract

The welfare and output effects of monopoly third-degree price discrimination are analyzed when inverse demand functions are parallel. Welfare is higher with discrimination than with a uniform price when demand functions are derived from the logistic distribution, and from a more general class of distributions. The sufficient condition in Varian (1985) for a welfare increase holds for these demand functions. Total output is higher with discrimination for a large set of demand functions including those derived from strictly log-concave distributions with increasing cost pass-through, such as the normal, logistic and extreme value, and standard log-convex demands.
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Suggested Citation

  • Simon Cowan, 2016. "Welfare-increasing third-degree price discrimination," RAND Journal of Economics, RAND Corporation, vol. 47(2), pages 326-340, May.
  • Handle: RePEc:bla:randje:v:47:y:2016:i:2:p:326-340
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    File URL: http://hdl.handle.net/10.1111/rand.2016.47.issue-2
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    1. Nahata, Babu & Ostaszewski, Krzysztof & Sahoo, P K, 1990. "Direction of Price Changes in Third-Degree Price Discrimination," American Economic Review, American Economic Association, vol. 80(5), pages 1254-1258, December.
    2. Yongmin Chen & Marius Schwartz, 2015. "Differential pricing when costs differ: a welfare analysis," RAND Journal of Economics, RAND Corporation, vol. 46(2), pages 442-460, June.
    3. Gabaix, Xavier & Laibson, David & Li, Deyuan & Li, Hongyi & Resnick, Sidney & de Vries, Casper G., 2016. "The impact of competition on prices with numerous firms," Journal of Economic Theory, Elsevier, vol. 165(C), pages 1-24.
    4. E. Glen Weyl & Michal Fabinger, 2013. "Pass-Through as an Economic Tool: Principles of Incidence under Imperfect Competition," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 528-583.
    5. Simon Cowan, 2012. "Third-Degree Price Discrimination and Consumer Surplus," Journal of Industrial Economics, Wiley Blackwell, vol. 60(2), pages 333-345, June.
    6. Victor Kaftal & Debashis Pal, 2008. "Third Degree Price Discrimination in Linear-Demand Markets: Effects on Number of Markets Served and Social Welfare," Southern Economic Journal, Southern Economic Association, vol. 75(2), pages 558-573, October.
    7. Aguirre Pérez, Iñaki, 2009. "Joan Robinson Was Almost Right: Output under Third-Degree Price Discrimination," IKERLANAK 2009-38, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    8. Holmes, Thomas J, 1989. "The Effects of Third-Degree Price Discrimination in Oligopoly," American Economic Review, American Economic Association, vol. 79(1), pages 244-250, March.
    9. Varian, Hal R, 1985. "Price Discrimination and Social Welfare," American Economic Review, American Economic Association, vol. 75(4), pages 870-875, September.
    10. Aguirre Pérez, Iñaki, 2009. "Joan Robinson Was Almost Right: Output under Third-Degree Price Discrimination," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    11. repec:ecj:econjl:v:122:y:2012:i::p:332-338 is not listed on IDEAS
    12. Justin P. Johnson & David P. Myatt, 2006. "On the Simple Economics of Advertising, Marketing, and Product Design," American Economic Review, American Economic Association, vol. 96(3), pages 756-784, June.
    13. Shih, Jun-ji & Mai, Chao-cheng & Liu, Jung-chao, 1988. "A General Analysis of the Output Effect under Third-Degree Price Discrimination," Economic Journal, Royal Economic Society, vol. 98(389), pages 149-158, March.
    14. Simon Cowan, 2007. "The welfare effects of third-degree price discrimination with nonlinear demand functions," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 419-428, June.
    15. W. Leontief, 1940. "The Theory of Limited and Unlimited Discrimination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 54(3), pages 490-501.
    16. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 1, number 1.
    17. Iñaki Aguirre, 2006. "Monopolistic price discrimination and output effect under conditions of constant elasticity demand," Economics Bulletin, AccessEcon, vol. 4(23), pages 1-6.
    18. Hal R. Varian, 2012. "Revealed Preference and its Applications," Economic Journal, Royal Economic Society, vol. 122(560), pages 332-338, May.
    19. Simon GB Cowan & Simon Cowan, 2004. "The welfare effects of third-degree price discrimination," Economics Series Working Papers 205, University of Oxford, Department of Economics.
    20. Varian, Hal R., 1989. "Price discrimination," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 10, pages 597-654, Elsevier.
    21. Iñaki Aguirre & Simon Cowan & John Vickers, 2010. "Monopoly Price Discrimination and Demand Curvature," American Economic Review, American Economic Association, vol. 100(4), pages 1601-1615, September.
    22. Schmalensee, Richard, 1981. "Output and Welfare Implications of Monopolistic Third-Degree Price Discrimination," American Economic Review, American Economic Association, vol. 71(1), pages 242-247, March.
    23. E. Weyl & Michal Fabinger, 2015. "A Tractable Approach to Pass-Through Patterns," 2015 Meeting Papers 747, Society for Economic Dynamics.
    24. Iñaki Aguirre & Simon G. Cowan, 2015. "Monopoly price discrimination with constant elasticity demand," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 329-340, October.
    25. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2015. "The Limits of Price Discrimination," American Economic Review, American Economic Association, vol. 105(3), pages 921-957, March.
    26. Victor Kaftal & Debashis Pal, 2008. "Third Degree Price Discrimination in Linear‐Demand Markets: Effects on Number of Markets Served and Social Welfare," Southern Economic Journal, John Wiley & Sons, vol. 75(2), pages 558-573, August.
    27. Mark Bagnoli & Ted Bergstrom, 2006. "Log-concave probability and its applications," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 217-241, Springer.
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    More about this item

    JEL classification:

    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • L12 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Monopoly; Monopolization Strategies
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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