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Two-part tariff competition in duopoly

Author

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  • Xiangkang Yin

    (School of Economics, La Trobe University)

Abstract

Built on the location model, this paper studies the rivalry of two firms in an industry through two-part tariffs. It is found that kinky profit functions are responsible for the coincidence of imperfectly competitive equilibrium and cartelization outcome. A duopoly likely results in higher entry fees and industry profits and lower net consumers surplus than a monopoly because each duopolist has a smaller market size than the monopolist. But social welfare in the monopoly is lower than in the duopoly. In comparison with uniform pricing, two-part tariffs tend to have lower prices, more profits and welfare but the magnitude of net consumers surplus is ambiguous.

Suggested Citation

  • Xiangkang Yin, 2000. "Two-part tariff competition in duopoly," Working Papers 2000.11, School of Economics, La Trobe University.
    • Handle: RePEc:trb:wpaper:2000.11
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    References listed on IDEAS

    as
    1. Aaron S. Edlin & Mario Epelbaum & Walter P. Heller, 1998. "Is Perfect Price Discrimination Really Efficient?: Welfare and Existence in General Equilibrium," Econometrica, Econometric Society, vol. 66(4), pages 897-922, July.
    2. Yin, Xiangkang, 2004. "Two-part tariff competition in duopoly," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 799-820, June.
    3. Kenneth S. Corts, 1998. "Third-Degree Price Discrimination in Oligopoly: All-Out Competition and Strategic Commitment," RAND Journal of Economics, The RAND Corporation, vol. 29(2), pages 306-323, Summer.
    4. Richard Schmalensee, 1981. "Monopolistic Two-Part Pricing Arrangements," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 445-466, Autumn.
    5. Anderson, Simon P. & de Palma, Andre, 2000. "From local to global competition," European Economic Review, Elsevier, vol. 44(3), pages 423-448, March.
    6. Brown, Donald J. & Heal, Geoffrey, 1980. "Two-part tariffs, marginal cost pricing and increasing returns in a general equilibrium model," Journal of Public Economics, Elsevier, vol. 13(1), pages 25-49, February.
    7. Xiangkang Yin, 2001. "A Model of Shareholder Discounts," The Economic Record, The Economic Society of Australia, vol. 77(236), pages 89-102, March.
    8. Edlin, Aaron S & Epelbaum, Mario, 1993. "Two-Part Marginal Cost Pricing Equilibria with n Firms: Sufficient Conditions for Existence and Optimality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(4), pages 903-922, November.
    9. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
    10. Rajiv Vohra, 1990. "On the Inefficiency of Two-Part Tariffs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 415-438.
    11. Anderson, Simon P & de Palma, Andre & Nesterov, Yurii, 1995. "Oligopolistic Competition and the Optimal Provision of Products," Econometrica, Econometric Society, vol. 63(6), pages 1281-1301, November.
    12. Ziss, Steffen, 1995. "Vertical Separation and Horizontal Mergers," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 63-75, March.
    13. Walter Y. Oi, 1971. "A Disneyland Dilemma: Two-Part Tariffs for a Mickey Mouse Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 85(1), pages 77-96.
    14. Yew-Kwang Ng & Mendel Weisser, 1974. "Optimal Pricing with a Budget Constraint—The Case of the Two-part Tariff," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(3), pages 337-345.
    15. Brown, Donald J. & Heller, Walter P. & Starr, Ross M., 1992. "Two-part marginal cost pricing equilibria: Existence and efficiency," Journal of Economic Theory, Elsevier, vol. 57(1), pages 52-72.
    16. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    17. Cassou, Steven P & Hause, John C, 1999. "Uniform Two-Part Tariffs and below Marginal Cost Prices: Disneyland Revisited," Economic Inquiry, Western Economic Association International, vol. 37(1), pages 74-85, January.
    18. Jean-Charles Rochet & Lars A. Stole, 2002. "Nonlinear Pricing with Random Participation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 277-311.
    19. Clay, Karen, 1994. "A coasean general equilibrium model of regulation," Journal of Public Economics, Elsevier, vol. 53(3), pages 459-475, March.
    20. Alan J. Auerbach & Anthony J. Pellechio, 1978. "The Two-Part Tariff and Voluntary Market Participation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(4), pages 571-587.
    21. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 2, number 2.
    22. repec:bla:econom:v:61:y:1994:i:242:p:125-36 is not listed on IDEAS
    23. Mark Armstrong, 1999. "Price Discrimination by a Many-Product Firm," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 151-168.
    24. 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.
    25. Phlips,Louis, 1983. "The Economics of Price Discrimination," Cambridge Books, Cambridge University Press, number 9780521283946, September.
    26. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 1, number 1.
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    More about this item

    Keywords

    Monopoly; Oligopoly; Two-Part Tariff; Cartelization; COMPETITION ; ECONOMIC MODELS;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • 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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