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Unidirectional Incentive Compatibility

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  • Daniel Krähmer
  • Roland Strausz

Abstract

We study unidirectional incentive compatibility which incentivizes an agent to report truthfully when she can misrepresent private information in one direction only. In the canonical setting with continuous, one-dimensional private information, and quasi-linear utility, unidirectional incentive compatibility imposes no restrictions on the allocation rule and holds if and only if the change of the agent’s information rent function respects a lower bound that is based on the allocation rule’s monotone envelope. In monopolistic screening models with strong interdependent values or with countervailing incentives, optimal contracts differ from optimal bidirectionally incentive compatible contracts, possibly displaying non-monotone allocations.

Suggested Citation

  • Daniel Krähmer & Roland Strausz, 2024. "Unidirectional Incentive Compatibility," CRC TR 224 Discussion Paper Series crctr224_2024_524, University of Bonn and University of Mannheim, Germany.
    • Handle: RePEc:bon:boncrc:crctr224_2024_524
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    File URL: https://www.crctr224.de/research/discussion-papers/archive/dp524
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    References listed on IDEAS

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    1. Celik, Gorkem, 2006. "Mechanism design with weaker incentive compatibility constraints," Games and Economic Behavior, Elsevier, vol. 56(1), pages 37-44, July.
    2. Paul Beaudry & Charles Blackorby & Dezsö Szalay, 2009. "Taxes and Employment Subsidies in Optimal Redistribution Programs," American Economic Review, American Economic Association, vol. 99(1), pages 216-242, March.
    3. John Riley & Richard Zeckhauser, 1983. "Optimal Selling Strategies: When to Haggle, When to Hold Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 267-289.
    4. , & , & ,, 2011. "Revenue maximization in the dynamic knapsack problem," Theoretical Economics, Econometric Society, vol. 6(2), May.
    5. Lewis, Tracy R. & Sappington, David E. M., 1989. "Countervailing incentives in agency problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 294-313, December.
    6. Che, Yeon-Koo & Gale, Ian, 2000. "The Optimal Mechanism for Selling to a Budget-Constrained Buyer," Journal of Economic Theory, Elsevier, vol. 92(2), pages 198-233, June.
    7. Moore, John, 1984. "Global Incentive Constraints in Auction Design," Econometrica, Econometric Society, vol. 52(6), pages 1523-1535, November.
    8. Maggi G. & Rodriguez-Clare A., 1995. "On Countervailing Incentives," Journal of Economic Theory, Elsevier, vol. 66(1), pages 238-263, June.
    9. Gabriel Carroll, 2012. "When Are Local Incentive Constraints Sufficient?," Econometrica, Econometric Society, vol. 80(2), pages 661-686, March.
    10. Garud Iyengar & Anuj Kumar, 2008. "Optimal procurement mechanisms for divisible goods with capacitated suppliers," Review of Economic Design, Springer;Society for Economic Design, vol. 12(2), pages 129-154, June.
    11. Mallesh M. Pai & Rakesh Vohra, 2013. "Optimal Dynamic Auctions and Simple Index Rules," Mathematics of Operations Research, INFORMS, vol. 38(4), pages 682-697, November.
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    More about this item

    Keywords

    Screening; Verifiability; Implementability; Optimal Contracting;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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