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On competitive nonlinear pricing

Author

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  • Attar, Andrea

    (Toulouse School of Economics, CNRS, University of Toulouse Capitole, Toulouse, France, and Dipartimento di Economia e Finanza, Università degli Studi di Roma "Tor Vergata")

  • Mariotti, Thomas

    (Toulouse School of Economics, CNRS, University of Toulouse Capitole)

  • Salanié, François

    (Toulouse School of Economics, INRA, University of Toulouse Capitole)

Abstract

We study a discriminatory limit-order book in which market makers compete in nonlinear tariffs to serve a privately informed insider. Our model allows for general nonparametric specifications of preferences and arbitrary discrete distributions for the insider's private information. Adverse selection severely restricts equilibrium outcomes: in any pure-strategy equilibrium with convex tariffs, pricing must be linear and at most one type can trade, leading to an extreme form of market breakdown. As a result, such equilibria only exist under exceptional circumstances that we fully characterize. These results are strikingly different from those of existing analyses that postulate a continuum of types. The two approaches can be reconciled when we consider E-equilibria of games with a large number of market makers or a large number of types.

Suggested Citation

  • Attar, Andrea & Mariotti, Thomas & Salanié, François, 2019. "On competitive nonlinear pricing," Theoretical Economics, Econometric Society, vol. 14(1), January.
    • Handle: RePEc:the:publsh:2708
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    Cited by:

    1. Andrea Attar & Thomas Mariotti & François Salanié, 2021. "Entry-Proofness and Discriminatory Pricing under Adverse Selection," American Economic Review, American Economic Association, vol. 111(8), pages 2623-2659, August.
    2. Andrea Attar & Thomas Mariotti & François Salanié, 2020. "The Social Costs of Side Trading," The Economic Journal, Royal Economic Society, vol. 130(630), pages 1608-1622.
    3. 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.
    4. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2017. "Private Information and Insurance Rejections: A comment," IDEI Working Papers 868, Institut d'Économie Industrielle (IDEI), Toulouse.
    5. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2021. "Competitive Nonlinear Pricing under Adverse Selection," TSE Working Papers 21-1201, Toulouse School of Economics (TSE), revised Aug 2022.
    6. , & , & ,, 2014. "Nonexclusive competition under adverse selection," Theoretical Economics, Econometric Society, vol. 9(1), January.
    7. Bayrak, Halil İbrahim & Dalkıran, Nuh Aygün, 2022. "Nonexclusive competition for a freelancer under adverse selection," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    8. Martin Herdegen & Johannes Muhle-Karbe & Florian Stebegg, 2021. "Liquidity Provision with Adverse Selection and Inventory Costs," Papers 2107.12094, arXiv.org.
    9. 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.
    10. 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.
    11. Thomas Mariotti, 2016. "Multiple Contracting in Insurance Markets," 2016 Meeting Papers 820, Society for Economic Dynamics.
    12. 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.

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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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