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Optimal Second-degree Price Discrimination and Arbitrage: On the Role of Asymmetric Information among Buyers

Author

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  • Doh-Shin Jeon
  • Domenico Menicucci

Abstract

The traditional theory of second-degree price discrimination tackles individual self selection but does not address the possibility that buyers could form a coalition to conduct arbitrage, that is, to coordinate their purchases and to reallocate the goods. In this paper, we design the optimal sale mechanism which takes into account both individual and coalition incentive compatibility when buyers can form a coalition under asymmetric information. We show that the monopolist can achieve the same profit regardless of whether or not buyers can form a coalition. Although marginal rates of substitution are not equalized across buyers of different types in the optimal sale mechanism (hence there exists potential room for arbitrage), they fail to realize the gains from arbitrage because of the transaction costs in coalition formation generated by asymmetric information.

Suggested Citation

  • Doh-Shin Jeon & Domenico Menicucci, 2003. "Optimal Second-degree Price Discrimination and Arbitrage: On the Role of Asymmetric Information among Buyers," Working Papers 21, Barcelona Graduate School of Economics.
  • Handle: RePEc:bge:wpaper:21
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    References listed on IDEAS

    as
    1. Bakos, Yannis & Brynjolfsson, Erik & Lichtman, Douglas, 1999. "Shared Information Goods," Journal of Law and Economics, University of Chicago Press, vol. 42(1), pages 117-155, April.
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    11. Cramton Peter C. & Palfrey Thomas R., 1995. "Ratifiable Mechanisms: Learning from Disagreement," Games and Economic Behavior, Elsevier, vol. 10(2), pages 255-283, August.
    12. Lawrence M. Ausubel & Peter Cramton, 1998. "The Optimality of Being Efficient," Papers of Peter Cramton 98wpoe, University of Maryland, Department of Economics - Peter Cramton, revised 18 Jun 1999.
    13. Jean-Jacques Laffont & David Martimort, 1997. "Collusion under Asymmetric Information," Econometrica, Econometric Society, vol. 65(4), pages 875-912, July.
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    Citations

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    Cited by:

    1. Dequiedt, Vianney, 2007. "Efficient collusion in optimal auctions," Journal of Economic Theory, Elsevier, vol. 136(1), pages 302-323, September.
    2. Doh-Shin Jeon & Domenico Menicucci, 2017. "The Benefits of Diverse Preferences in Library Consortia," Journal of Industrial Economics, Wiley Blackwell, vol. 65(1), pages 105-135, March.
    3. repec:eee:iepoli:v:40:y:2017:i:c:p:48-59 is not listed on IDEAS
    4. Jeon, Doh-Shin & Menicucci, Domenico, 2013. "When Is Building a Library Consortium Bene ficial?," IDEI Working Papers 791, Institut d'Économie Industrielle (IDEI), Toulouse, revised 07 Apr 2014.
    5. Jeon, Doh-Shin & Menicucci, Domenico, 2014. "Buyer Group and Buyer Power When Sellers Compete," TSE Working Papers 14-543, Toulouse School of Economics (TSE), revised Nov 2017.
    6. He, Qingxin & Lee, Jonathan M., 2016. "The effect of coal combustion byproducts on price discrimination by upstream industries," International Journal of Industrial Organization, Elsevier, vol. 44(C), pages 11-24.
    7. Hu, Audrey & Offerman, Theo & Onderstal, Sander, 2011. "Fighting collusion in auctions: An experimental investigation," International Journal of Industrial Organization, Elsevier, vol. 29(1), pages 84-96, January.
    8. Che, Yeon-Koo & Kim, Jinwoo, 2009. "Optimal collusion-proof auctions," Journal of Economic Theory, Elsevier, vol. 144(2), pages 565-603, March.
    9. Meng, Dawen & Tian, Guoqiang, 2014. "Collusion-Proof Mechanism Design in Two-Agent Nonlinear Pricing Environments," MPRA Paper 57931, University Library of Munich, Germany.
    10. Meng, Dawen & Tian, Guoqiang, 2008. "Nonlinear Pricing with Arbitrage: On the Role of Correlation," MPRA Paper 41207, University Library of Munich, Germany.
    11. Wu, Chien-Wei & Chiu, Hsien-Hung, 2016. "Price Discrimination Through Group Buying," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 57(1), pages 27-52, June.
    12. Jansen, Jos & Jeon, Doh-Shin & Menicucci, Domenico, 2008. "The organization of regulated production: Complementarities, correlation and collusion," International Journal of Industrial Organization, Elsevier, vol. 26(1), pages 327-353, January.
    13. repec:spr:reecde:v:21:y:2017:i:3:d:10.1007_s10058-017-0204-x is not listed on IDEAS

    More about this item

    Keywords

    second-degree price discrimination; arbitrage; coalition incentive compatibility; asymmetric Information; transaction costs;

    JEL classification:

    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L12 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Monopoly; Monopolization Strategies

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