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Single Object Auctions with Externalities: A Tractable Model

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  • Abdul Quadir

    (Jamia Millia Islamia)

Abstract

We consider the single object auction model with allocative externalities in a private valuation and quasi-linear setting. We model externalities by assuming that every agent has a private valuation (for the object) and a strict ranking of other agents. The utility for an agent when another agent receives the object is the product of his own valuation and a real number that depends on the rank of this agent in his ranking. When the only private information is the valuation of the agents, we characterise the implementable allocation rules and use these to derive the optimal auction. The optimal auction collects payments from agents who do not receive the object.

Suggested Citation

  • Abdul Quadir, 2019. "Single Object Auctions with Externalities: A Tractable Model," The Japanese Economic Review, Springer, vol. 70(4), pages 479-496, December.
    • Handle: RePEc:spr:jecrev:v:70:y:2019:i:4:d:10.1111_jere.12193
    DOI: 10.1111/jere.12193
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    References listed on IDEAS

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    1. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1999. "Multidimensional Mechanism Design for Auctions with Externalities," Journal of Economic Theory, Elsevier, vol. 85(2), pages 258-293, April.
    2. Carbajal, Juan Carlos & Müller, Rudolf, 2015. "Implementability under monotonic transformations in differences," Journal of Economic Theory, Elsevier, vol. 160(C), pages 114-131.
    3. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    4. 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.
    5. Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
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    More about this item

    Keywords

    D44; D62;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

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