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Pricing and matching under duopoly with imperfect buyer mobility

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  • Massimo A. De Francesco

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Abstract

Recent contributions have explored how lack of buyer mobility affects pricing. For example, Burdett, Shi, and Wright (2001) envisage a two-stage game where, once prices are set by the firms, the buyers play a static game by choosing independently which firm to visit. We incorporate imperfect mobility in a duopolistic pricing game where the buyers are involved into a multi-stage game. The firms are shown to have an incentive to give service priority to loyal customers. Under this rationing rule, equilibrium prices converge to their value under perfect buyer mobility as the number of stages of the buyer game increases

Suggested Citation

  • Massimo A. De Francesco, 2004. "Pricing and matching under duopoly with imperfect buyer mobility," Department of Economics University of Siena 439, Department of Economics, University of Siena.
  • Handle: RePEc:usi:wpaper:439
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    File URL: http://repec.deps.unisi.it/quaderni/439.pdf
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    References listed on IDEAS

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    1. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    2. Peters, Michael, 2000. "Limits of Exact Equilibria for Capacity Constrained Sellers with Costly Search," Journal of Economic Theory, Elsevier, vol. 95(2), pages 139-168, December.
    3. Paul Klemperer, 1987. "Markets with Consumer Switching Costs," The Quarterly Journal of Economics, Oxford University Press, vol. 102(2), pages 375-394.
    4. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-1127, September.
    5. Bulkley, George, 1992. "The role of loyalty discounts when consumers are uncertain of the value of repeat purchases," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 91-101, March.
    6. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
    7. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, January.
    8. Carlton, Dennis W, 1991. "The Theory of Allocation and Its Implications for Marketing and Industrial Structure: Why Rationing Is Efficient," Journal of Law and Economics, University of Chicago Press, vol. 34(2), pages 231-262, October.
    9. Dennis W. Carlton, 1991. "The Theory of Allocation and Its Implications for Marketing and Industrial Structure," NBER Working Papers 3786, National Bureau of Economic Research, Inc.
    10. Caminal, Ramon & Matutes, Carmen, 1990. "Endogenous switching costs in a duopoly model," International Journal of Industrial Organization, Elsevier, vol. 8(3), pages 353-373, September.
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    More about this item

    Keywords

    Bertrand competition; matching; imperfect mobility; sequential equilibrium; buyerloyalty;

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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