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Nonlinear Pricing with Arbitrage: On the Role of Correlation

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  • Meng, Dawen
  • Tian, Guoqiang

Abstract

In nonlinear pricing environment with correlated types, we characterize optimal selling mechanisms when buyers could form a coalition to coordinate their reports and to arbitrage on the goods. We find that when the types of agents are weakly positively correlated, the optimal weakly collusion-proof mechanism calls for distortions away from e±ciency obtained without arbitrage; when the types are weakly negatively correlated, the monopolist can achieve the same profit regardless of whether or not buyers can arbitrage on their goods. Allowing arbitrage within coalitions result in right discontinuity between the correlated and uncorrelated environment, but the left continuity is still available.

Suggested Citation

  • Meng, Dawen & Tian, Guoqiang, 2008. "Nonlinear Pricing with Arbitrage: On the Role of Correlation," MPRA Paper 41207, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:41207
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    File URL: https://mpra.ub.uni-muenchen.de/41207/1/MPRA_paper_41207.pdf
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    References listed on IDEAS

    as
    1. Antoine Faure-Grimaud & Jean-Jacques Laffont & David Martimort, 2003. "Collusion, Delegation and Supervision with Soft Information," Review of Economic Studies, Oxford University Press, vol. 70(2), pages 253-279.
    2. Baldwin, Laura H & Marshall, Robert C & Richard, Jean-Francois, 1997. "Bidder Collusion at Forest Service Timber Sales," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 657-699, August.
    3. Doh-Shin Jeon & Domenico Menicucci, 2005. "Optimal Second-Degree Price Discrimination and Arbitrage: On the Role of Asymmetric Information Among Buyers," RAND Journal of Economics, The RAND Corporation, vol. 36(2), pages 337-360, Summer.
    4. Jean-Jacques Laffont & David Martimort, 2000. "Mechanism Design with Collusion and Correlation," Econometrica, Econometric Society, vol. 68(2), pages 309-342, March.
    5. Laffont, Jean-Jacques, 2001. "Incentives and Political Economy," OUP Catalogue, Oxford University Press, number 9780199248681.
    6. Jean-Jacques Laffont & David Martimort, 1997. "Collusion under Asymmetric Information," Econometrica, Econometric Society, vol. 65(4), pages 875-912, July.
    7. Lucia Quesada, 2005. "Collusion as an Informed Principal Problem," Game Theory and Information 0504002, EconWPA.
    8. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    9. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    10. Tirole, Jean, 1986. "Hierarchies and Bureaucracies: On the Role of Collusion in Organizations," Journal of Law, Economics, and Organization, Oxford University Press, vol. 2(2), pages 181-214, Fall.
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    More about this item

    Keywords

    Nonlinear pricing; weakly collusion-proof; arbitrage; correlated types;

    JEL classification:

    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly

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