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On Competitive Nonlinear Pricing

Author

Listed:
  • Andrea Attar

    () (Toulouse School of Economics)

  • Thomas Mariotti

    (Toulouse School of Economics)

  • François Salanié

    (Toulouse School of Economics)

Abstract

Many financial markets rely on a discriminatory limit-order book to balance supply and demand. We study these markets in a static model in which uninformed market makers compete in nonlinear tariffs to trade with an informed insider, as in Glosten (1994), Biais, Martimort, and Rochet (2000), and Back and Baruch (2013). We analyze the case where tariffs are unconstrained and the case where tariffs are restricted to be convex. In both cases, we show that pure-strategy equilibrium tariffs must be linear and, moreover, that such equilibria only exist under exceptional circumstances. These results stand in stark contrast with those obtained so far in the literature, reflecting different assumptions about the richness of the insider's information.

Suggested Citation

  • Andrea Attar & Thomas Mariotti & François Salanié, 2014. "On Competitive Nonlinear Pricing," CEIS Research Paper 314, Tor Vergata University, CEIS, revised 18 Apr 2014.
  • Handle: RePEc:rtv:ceisrp:314
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    References listed on IDEAS

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    1. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2014. "Multiple Contracting in Insurance Markets," TSE Working Papers 14-532, Toulouse School of Economics (TSE), revised Sep 2016.
    2. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
    3. Stoll, Hans R, 1978. "The Supply of Dealer Services in Securities Markets," Journal of Finance, American Finance Association, vol. 33(4), pages 1133-1151, September.
    4. Carmona, Guilherme & Fajardo, José, 2009. "Existence of equilibrium in common agency games with adverse selection," Games and Economic Behavior, Elsevier, vol. 66(2), pages 749-760, July.
    5. Andrea Attar & Thomas Mariotti & François Salanié, 2011. "Nonexclusive Competition in the Market for Lemons," Econometrica, Econometric Society, vol. 79(6), pages 1869-1918, November.
    6. Grossman, Sanford J, 1981. "Nash Equilibrium and the Industrial Organization of Markets with Large Fixed Costs," Econometrica, Econometric Society, vol. 49(5), pages 1149-1172, September.
    7. Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
    8. Glosten, Lawrence R. & Milgrom, Paul R., 1985. "Bid, ask and transaction prices in a specialist market with heterogeneously informed traders," Journal of Financial Economics, Elsevier, vol. 14(1), pages 71-100, March.
    9. Glosten, Lawrence R, 1994. " Is the Electronic Open Limit Order Book Inevitable?," Journal of Finance, American Finance Association, vol. 49(4), pages 1127-1161, September.
    10. Ho, Thomas & Stoll, Hans R., 1981. "Optimal dealer pricing under transactions and return uncertainty," Journal of Financial Economics, Elsevier, vol. 9(1), pages 47-73, March.
    11. Albert S. Kyle, 1989. "Informed Speculation with Imperfect Competition," Review of Economic Studies, Oxford University Press, vol. 56(3), pages 317-355.
    12. Biais, Bruno & Foucault, Thierry & Salanie, Francois, 1998. "Floors, dealer markets and limit order markets," Journal of Financial Markets, Elsevier, vol. 1(3-4), pages 253-284, September.
    13. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2014. "Nonexclusive competition under adverse selection," Theoretical Economics, Econometric Society, vol. 9(1), January.
    14. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, Oxford University Press, vol. 90(4), pages 629-649.
    15. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, Oxford University Press, vol. 93(4), pages 675-689.
    16. Glosten, Lawrence R, 1989. "Insider Trading, Liquidity, and the Role of the Monopolist Specialist," The Journal of Business, University of Chicago Press, vol. 62(2), pages 211-235, April.
    17. Jaynes, Gerald David, 1978. "Equilibria in monopolistically competitive insurance markets," Journal of Economic Theory, Elsevier, vol. 19(2), pages 394-422, December.
    18. Ho, Thomas S Y & Stoll, Hans R, 1983. " The Dynamics of Dealer Markets under Competition," Journal of Finance, American Finance Association, vol. 38(4), pages 1053-1074, September.
    19. Bruno Biais & David Martimort & Jean‐Charles Rochet, 2013. "Corrigendum to "Competing Mechanisms in a Common Value Environment"," Econometrica, Econometric Society, vol. 81(1), pages 393-406, January.
    20. Roll, Richard, 1984. " A Simple Implicit Measure of the Effective Bid-Ask Spread in an Efficient Market," Journal of Finance, American Finance Association, vol. 39(4), pages 1127-1139, September.
    21. Kerry Back & Shmuel Baruch, 2013. "Strategic Liquidity Provision in Limit Order Markets," Econometrica, Econometric Society, vol. 81(1), pages 363-392, January.
    22. George A. Akerlof, 1970. "The Market for "Lemons": Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, Oxford University Press, vol. 84(3), pages 488-500.
    23. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-764.
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    Citations

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    Cited by:

    1. Thomas Mariotti, 2016. "Multiple Contracting in Insurance Markets," 2016 Meeting Papers 820, Society for Economic Dynamics.
    2. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2014. "Multiple Contracting in Insurance Markets," TSE Working Papers 14-532, Toulouse School of Economics (TSE), revised Sep 2016.
    3. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2017. "Private Information and Insurance Rejections: A comment," IDEI Working Papers 868, Institut d'Économie Industrielle (IDEI), Toulouse.
    4. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2014. "Nonexclusive competition under adverse selection," Theoretical Economics, Econometric Society, vol. 9(1), January.
    5. David Martimort & Aggey Semenov & Lars Stole, 2016. "A Complete Characterization of Equilibria in Common Agency Screening Games," Working Papers 1618E, University of Ottawa, Department of Economics.
    6. Martimort, David & Semenov, Aggey & Stole, Lars, 2015. "A Complete Characterization of Equilibria in Two-type Common Agency Screening Games," MPRA Paper 66620, University Library of Munich, Germany.
    7. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2017. "Entry-Proofness and Market Breakdown under Adverse Selection," TSE Working Papers 17-788, Toulouse School of Economics (TSE), revised Oct 2017.

    More about this item

    Keywords

    Adverse Selection; Competing Mechanisms; Limit-Order Book;

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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