Multidimensional Mechanism Design for Auctions with Externalities

Philippe Jehiel, Benny Moldovanu, Ennio Stacchetti

    Research output: Contribution to journalArticlepeer-review

    Abstract

    In an auction with externalities, a buyer's type is multidimensional and specifies the payoff he would get for each of theN+1 possible outcomes: the seller keeps the object or buyeri(i=1,...,N) gets the object. We provide a characterization of multidimensional incentive compatible mechanisms similar to that for one-dimensional mechanisms. Although reservation utilities are endogenous and type-dependent, the participation constraint is binding for only one "critical" type. A main difficulty in a multidimensional setting is the "integrability" condition. We present a geometric characterization for discontinuous conservative vector fields. In auctions where the buyers submit scalar bids and the seller transfers the object to one of the buyers for sure, a second-price auction maximizes revenue. With two buyers, this auction remains optimal even if the seller can set a reservation price.Journal of Economic LiteratureClassification Numbers: C7, C72.

    Original languageEnglish (US)
    Pages (from-to)258-293
    Number of pages36
    JournalJournal of Economic Theory
    Volume85
    Issue number2
    DOIs
    StatePublished - Apr 1999

    ASJC Scopus subject areas

    • Economics and Econometrics

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