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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.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 41207.

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Date of creation: Aug 2008
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Handle: RePEc:pra:mprapa:41207

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

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  1. 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 657-99, August.
  2. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-57, November.
  3. Antoine Faure-Grimaud & Jean-Jacques Laffont & David Martimort, 2003. "Collusion, Delegation and Supervision with Soft Information," Review of Economic Studies, Wiley Blackwell, vol. 70(2), pages 253-279, 04.
  4. Laffont, Jean-Jacques, 2001. "Incentives and Political Economy," OUP Catalogue, Oxford University Press, number 9780199248681.
  5. 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 345-61, March.
  6. Jean-Jacques Laffont & David Martimort, 2000. "Mechanism Design with Collusion and Correlation," Econometrica, Econometric Society, vol. 68(2), pages 309-342, March.
  7. Laffont, J.J. & Martimort, D., 1996. "Collusion Under Asymmetric Information," Papers 95.389, Toulouse - GREMAQ.
  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. Lucia Quesada, 2005. "Collusion as an Informed Principal Problem," Game Theory and Information 0504002, EconWPA.
  10. 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.
  11. 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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