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Monotone Equilibrium in Multi-Unit Auctions

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  • David McAdams
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    Abstract

    Existence of monotone pure strategy equilibrium is established in the discriminatory and uniform S + a-th price (a in [0, 1]) auctions of S identical objects when bidders are risk-neutral with independent signals. The model requires discrete price / quantity grids and allows for multi-dimensional signals, interdependent values, increasing marginal values, allocative externalities, and two-sided trading. Given no externalities, further, all mixed-strategy equilibria in these auctions must be ex post allocation- and interim expected payment equivalent to some monotone pure strategy equilibrium. Thus, for standard expected surplus / revenue analysis, there is no loss in restricting attention to monotone strategies

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    Bibliographic Info

    Paper provided by Econometric Society in its series Econometric Society 2004 North American Summer Meetings with number 211.

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    Date of creation: 11 Aug 2004
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    Handle: RePEc:ecm:nasm04:211

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    Related research

    Keywords: multi-unit auctions; monotone equilibria;

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    Cited by:
    1. McAdams, David, 2002. "Bidding Lower with Higher Values in Multi-Object Auction," Working papers 4249-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    2. John Roberts, 2008. "Susan C. Athey: John Bates Clark Award Winner 2007," Journal of Economic Perspectives, American Economic Association, vol. 22(4), pages 181-98, Fall.
    3. Philip J Reny, 2005. "On the Existence of Monotone Pure Strategy Equilibria in Bayesian Games," NajEcon Working Paper Reviews 784828000000000413, www.najecon.org.
    4. Bogetoft, Peter & Nielsen, Kurt, 2003. "Yardstick Based Procurement Design In Natural Resource Management," 2003 Annual Meeting, August 16-22, 2003, Durban, South Africa 25910, International Association of Agricultural Economists.

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