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An optimal auction with identity‐dependent externalities

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  • Jorge Aseff
  • Hector Chade

Abstract

We analyze the problem of a seller of multiple identical units of a good who faces a set of buyers with unit demands, private information, and identity‐dependent externalities. We derive the seller's optimal mechanism and characterize its main properties. We show that the probability that a buyer obtains a unit is an increasing function of the externalities he generates and enjoys. Also, the seller's allocation of the units of the good need not be ex post efficient. As an illustration, we apply the model to the problem faced by a developer of a shopping mall who wants to allocate and price its retail space among anchor and non‐anchor stores. We show that a commonly used sequential mechanism is not optimal unless externalities are large enough.

Suggested Citation

  • Jorge Aseff & Hector Chade, 2008. "An optimal auction with identity‐dependent externalities," RAND Journal of Economics, RAND Corporation, vol. 39(3), pages 731-746, September.
  • Handle: RePEc:bla:randje:v:39:y:2008:i:3:p:731-746
    DOI: 10.1111/j.1756-2171.2008.00036.x
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    Cited by:

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    3. Aner Sela & Amit Yeshayahu, 2022. "Contests with identity-dependent externalities," Working Papers 2203, Ben-Gurion University of the Negev, Department of Economics.
    4. Brocas, Isabelle, 2014. "Countervailing incentives in allocation mechanisms with type-dependent externalities," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 22-33.
    5. Baik, Kyung Hwan & Jung, Hanjoon Michael, 2021. "Contests with multiple alternative prizes: Public-good/bad prizes and externalities," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 103-116.
    6. Nicolas Figueroa & Vasiliki Skreta, 2006. "The Role of Outside Options in Auction Design," Levine's Bibliography 321307000000000140, UCLA Department of Economics.
    7. SHINOZAKI, Hiroki, 2023. "Efficiency and strategy-proofness in object allocation problems with payments: Externalities with income effects," Discussion paper series HIAS-E-135, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    8. Bettina Klose & Dan Kovenock, 2015. "The all-pay auction with complete information and identity-dependent externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 1-19, May.
    9. Luke A. Boosey & Christopher Brown, 2021. "Contests with Network Externalities: Theory & Evidence," Working Papers wp2021_07_02, Department of Economics, Florida State University.
    10. Yixin Lu & Alok Gupta & Wolfgang Ketter & Eric van Heck, 2019. "Information Transparency in Business-to-Business Auction Markets: The Role of Winner Identity Disclosure," Management Science, INFORMS, vol. 65(9), pages 4261-4279, September.
    11. Hemant K. Bhargava & Gergely Csapó & Rudolf Müller, 2020. "On Optimal Auctions for Mixing Exclusive and Shared Matching in Platforms," Management Science, INFORMS, vol. 66(6), pages 2653-2676, June.
    12. Burkett, Justin, 2018. "Information disclosure in auctions with downstream competition," Economics Letters, Elsevier, vol. 163(C), pages 22-26.
    13. Gino Loyola, 2021. "Optimal selling mechanisms with crossholdings," Review of Economic Design, Springer;Society for Economic Design, vol. 25(1), pages 1-32, June.
    14. Dimitry Rtischev, 2009. "Licensing of a lower-cost production process to an asymmetric Cournot duopoly," Gakushuin Economic Papers, Gakushuin University, Faculty of Economics, vol. 45(4), pages 325-336.
    15. Laurent Lamy, 2007. "Contingent Auctions with Allocative Externalities: Vickrey vs. the Ausubel-Milgrom Proxy Auction," 2007 Meeting Papers 427, Society for Economic Dynamics.
    16. Isabelle Brocas, 2013. "Optimal allocation mechanisms with type-dependent negative externalities," Theory and Decision, Springer, vol. 75(3), pages 359-387, September.
    17. Pallavi Pal, 2023. "Sponsored Search Auction and the Revenue- Maximizing Number of Ads per Page," CESifo Working Paper Series 10299, CESifo.
    18. Pouyet, Jérôme & Martimort, David, 2022. "Why Is Exclusivity in Broadcasting Rights Prevalent and Why Does Simple Regulation Fail?," CEPR Discussion Papers 17446, C.E.P.R. Discussion Papers.
    19. Brocas, Isabelle, 2013. "Selling an asset to a competitor," European Economic Review, Elsevier, vol. 57(C), pages 39-62.
    20. Abdul Quadir, 2019. "Single Object Auctions with Externalities: A Tractable Model," The Japanese Economic Review, Springer, vol. 70(4), pages 479-496, December.
    21. Alexandre Belloni & Changrong Deng & Saša Pekeč, 2017. "Mechanism and Network Design with Private Negative Externalities," Operations Research, INFORMS, vol. 65(3), pages 577-594, June.
    22. Chulyoung Kim & Sang-Hyun Kim & Jinhyuk Lee & Jaeok Park, 2023. "Auctions with Externalities: An Experimental Study," Working papers 2023rwp-214, Yonsei University, Yonsei Economics Research Institute.
    23. Brown, David P., 2018. "The effect of subsidized entry on capacity auctions and the long-run resource adequacy of electricity markets," Energy Economics, Elsevier, vol. 70(C), pages 205-232.
    24. Nicolás Figueroa & Vasiliki Skreta, 2011. "Optimal allocation mechanisms with single-dimensional private information," Review of Economic Design, Springer;Society for Economic Design, vol. 15(3), pages 213-243, September.
    25. Lotem Ikan & David Lagziel, 2023. "The Indoctrination Game," Papers 2305.02604, arXiv.org.

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    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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