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Asymmetric reduced form Auctions

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  • Mierendorff, Konrad

Abstract

This paper provides a tractable characterization of feasibility of asymmetric reduced form auctions. Using this, auction design problems can be stated in terms of the reduced form only. This allows to solve optimal auction problems when classical solution techniques fail.

Suggested Citation

  • Mierendorff, Konrad, 2011. "Asymmetric reduced form Auctions," Economics Letters, Elsevier, vol. 110(1), pages 41-44, January.
  • Handle: RePEc:eee:ecolet:v:110:y:2011:i:1:p:41-44
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    References listed on IDEAS

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    1. Border, Kim C, 1991. "Implementation of Reduced Form Auctions: A Geometric Approach," Econometrica, Econometric Society, vol. 59(4), pages 1175-1187, July.
    2. Kim Border, 2007. "Reduced Form Auctions Revisited," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(1), pages 167-181, April.
    3. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    4. Matthews, Steven A, 1984. "On the Implementability of Reduced Form Auctions," Econometrica, Econometric Society, vol. 52(6), pages 1519-1522, November.
    5. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
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    Citations

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    Cited by:

    1. Li, Yunan, 2019. "Efficient mechanisms with information acquisition," Journal of Economic Theory, Elsevier, vol. 182(C), pages 279-328.
    2. Tymofiy Mylovanov & Andriy Zapechelnyuk, 2017. "Optimal Allocation with Ex Post Verification and Limited Penalties," American Economic Review, American Economic Association, vol. 107(9), pages 2666-2694, September.
    3. Quitz'e Valenzuela-Stookey, 2022. "Greedy Allocations and Equitable Matchings," Papers 2207.11322, arXiv.org, revised Oct 2022.
    4. Yunan Li, 2017. "Efficient Mechanisms with Information Acquisition," PIER Working Paper Archive 16-007, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 23 Jun 2017.
    5. Goeree, Jacob K. & Kushnir, Alexey, 2016. "Reduced form implementation for environments with value interdependencies," Games and Economic Behavior, Elsevier, vol. 99(C), pages 250-256.
    6. 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.
    7. Erlanson, Albin & Kleiner, Andreas, 2019. "A note on optimal allocation with costly verification," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 56-62.
    8. Li, Yunan, 2020. "Mechanism design with costly verification and limited punishments," Journal of Economic Theory, Elsevier, vol. 186(C).
    9. Rahul Deb & Mallesh Pai, 2013. "Symmetric Auctions," Working Papers tecipa-486, University of Toronto, Department of Economics.
    10. 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.
    11. Mierendorff, Konrad, 2016. "Optimal dynamic mechanism design with deadlines," Journal of Economic Theory, Elsevier, vol. 161(C), pages 190-222.
    12. Che, Yeon-Koo & Condorelli, Daniele & Kim, Jinwoo, 2018. "Weak cartels and collusion-proof auctions," Journal of Economic Theory, Elsevier, vol. 178(C), pages 398-435.
    13. Pai, Mallesh M. & Vohra, Rakesh, 2014. "Optimal auctions with financially constrained buyers," Journal of Economic Theory, Elsevier, vol. 150(C), pages 383-425.
    14. Saeed Alaei & Hu Fu & Nima Haghpanah & Jason Hartline & Azarakhsh Malekian, 2019. "Efficient Computation of Optimal Auctions via Reduced Forms," Mathematics of Operations Research, INFORMS, vol. 44(3), pages 1058-1086, August.
    15. Xu Lang, 2022. "Reduced-form budget allocation with multiple public alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(2), pages 335-359, August.
    16. Yunan Li, 2017. "Mechanism Design with Costly Verification and Limited Punishments, Third Version," PIER Working Paper Archive 16-009, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 28 Sep 2017.

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