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On Competitive Nonlinear Pricing

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  • Attar, Andrea
  • Mariotti, Thomas
  • Salanié, François

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 cast doubt on the stability of even well-organized financial markets.

Suggested Citation

  • Attar, Andrea & Mariotti, Thomas & Salanié, François, 2015. "On Competitive Nonlinear Pricing," CEPR Discussion Papers 10850, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:10850
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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. Han, Seungjin, 2006. "Menu theorems for bilateral contracting," Journal of Economic Theory, Elsevier, vol. 131(1), pages 157-178, November.
    11. 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.
    12. Albert S. Kyle, 1989. "Informed Speculation with Imperfect Competition," Review of Economic Studies, Oxford University Press, vol. 56(3), pages 317-355.
    13. 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.
    14. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2014. "Nonexclusive competition under adverse selection," Theoretical Economics, Econometric Society, vol. 9(1), January.
    15. Mark V. Pauly, 1974. "Overinsurance and Public Provision of Insurance: The Roles of Moral Hazard and Adverse Selection," The Quarterly Journal of Economics, Oxford University Press, vol. 88(1), pages 44-62.
    16. 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.
    17. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, Oxford University Press, vol. 93(4), pages 675-689.
    18. Nathaniel Hendren, 2014. "Unravelling vs Unravelling: A Memo on Competitive Equilibriums and Trade in Insurance Markets," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 39(2), pages 176-183, September.
    19. 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.
    20. Jaynes, Gerald David, 1978. "Equilibria in monopolistically competitive insurance markets," Journal of Economic Theory, Elsevier, vol. 19(2), pages 394-422, December.
    21. 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.
    22. 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.
    23. 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.
    24. Kerry Back & Shmuel Baruch, 2013. "Strategic Liquidity Provision in Limit Order Markets," Econometrica, Econometric Society, vol. 81(1), pages 363-392, January.
    25. 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.
    26. 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.
    27. 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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    Cited by:

    1. Andrea Attar & Thomas Mariotti & François Salanié, 2020. "The Social Costs of Side Trading," Economic Journal, Royal Economic Society, vol. 130(630), pages 1608-1622.
    2. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2014. "Multiple Contracting in Insurance Markets," IDEI Working Papers 839, Institut d'Économie Industrielle (IDEI), Toulouse, 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, 2021. "Competitive Nonlinear Pricing under Adverse Selection," TSE Working Papers 21-1201, Toulouse School of Economics (TSE).
    5. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2014. "Nonexclusive competition under adverse selection," Theoretical Economics, Econometric Society, vol. 9(1), January.
    6. Martin Herdegen & Johannes Muhle-Karbe & Florian Stebegg, 2021. "Liquidity Provision with Adverse Selection and Inventory Costs," Papers 2107.12094, arXiv.org.
    7. 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.
    8. 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.
    9. Thomas Mariotti, 2016. "Multiple Contracting in Insurance Markets," 2016 Meeting Papers 820, Society for Economic Dynamics.
    10. Baruch, Shmuel & Glosten, Lawrence R., 2019. "Tail expectation and imperfect competition in limit order book markets," Journal of Economic Theory, Elsevier, vol. 183(C), pages 661-697.
    11. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2017. "Entry-Proofness and Discriminatory Pricing under Adverse Selection," TSE Working Papers 17-788, Toulouse School of Economics (TSE), revised Jan 2021.

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    More about this item

    Keywords

    adverse selection; competing mechanisms; limit-order book;
    All these keywords.

    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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