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Reduced-form mechanism design and ex post fairness constraints

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  • Erya Yang

    (University of California)

Abstract

This paper incorporates fairness constraints into the classic single-unit reduced-form implementation problem (Border in Econometrica, 59(4):1175–1187, 1991, Econ Theory 31(1):167–181, 2007; Che et al. in Econometrica 81(6): 2487–2520, 2013; Manelli and Vincent in Econometrica, 78(6):1905–1938, 2010) with two agents. To do so, I use a new approach that utilizes the results from Kellerer (Math Ann 144(4):323–344, 1961) and Gutmann et al. (Ann Prob 19(4):1781–1797, 1991). Under realistic assumptions on the constraints, the conditions are transparent and can be verified in polynomial time.

Suggested Citation

  • Erya Yang, 2021. "Reduced-form mechanism design and ex post fairness constraints," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 269-293, October.
    • Handle: RePEc:spr:etbull:v:9:y:2021:i:2:d:10.1007_s40505-021-00211-1
    DOI: 10.1007/s40505-021-00211-1
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    References listed on IDEAS

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    1. Sergiu Hart & Philip J. Reny, 2015. "Implementation of reduced form mechanisms: a simple approach and a new characterization," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 1-8, April.
    2. Li, Yunan, 2019. "Efficient mechanisms with information acquisition," Journal of Economic Theory, Elsevier, vol. 182(C), pages 279-328.
    3. Border, Kim C, 1991. "Implementation of Reduced Form Auctions: A Geometric Approach," Econometrica, Econometric Society, vol. 59(4), pages 1175-1187, July.
    4. Alexey Kushnir & Shuo Liu, 2019. "On the equivalence of Bayesian and dominant strategy implementation for environments with nonlinear utilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 617-644, April.
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    7. Mallesh Pai & Rakesh Vohra, 2012. "Auction Design with Fairness Concerns: Subsidies vs. Set-Asides," Discussion Papers 1548, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    8. Yeon‐Koo Che & Jinwoo Kim & Konrad Mierendorff, 2013. "Generalized Reduced‐Form Auctions: A Network‐Flow Approach," Econometrica, Econometric Society, vol. 81(6), pages 2487-2520, November.
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    14. Mierendorff, Konrad, 2011. "Asymmetric reduced form Auctions," Economics Letters, Elsevier, vol. 110(1), pages 41-44, January.
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    Cited by:

    1. Debasis Mishra & Xu Lang, 2022. "Symmetric reduced form voting," Discussion Papers 22-03, Indian Statistical Institute, Delhi.
    2. Lang, Xu & Mishra, Debasis, 2024. "Symmetric reduced form voting," Theoretical Economics, Econometric Society, vol. 19(2), May.
    3. Xu Lang & Debasis Mishra, 2022. "Symmetric reduced form voting," Papers 2207.09253, arXiv.org, revised Apr 2023.

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    More about this item

    Keywords

    Reduced-form auctions; Implementation; Border’s theorem; welfare maximization; Fairness;
    All these keywords.

    JEL classification:

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

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