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First-price equilibrium and revenue equivalence in a sequential procurement auction model

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  • J. Reiß
  • Jens Schöndube

Abstract

We analyze first-price equilibrium bidding behavior of capacity-constrained firms in a sequence of two procurement auctions. In the model, firms with a cost advantage in completing the project auctioned off at the end of the sequence may enter the unfavored first auction hoping to lose it. Equilibrium bidding in both auctions deviates from the standard Symmetric Independent Private Value auction model (SIPV) due to opportunity costs of bidding created by possibly employed capacity.For this sequential auction model with non-identical objects, we show that revenue equivalence holds.
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  • J. Reiß & Jens Schöndube, 2010. "First-price equilibrium and revenue equivalence in a sequential procurement auction model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 99-141, April.
    • Handle: RePEc:spr:joecth:v:43:y:2010:i:1:p:99-141
    DOI: 10.1007/s00199-008-0428-7
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    Cited by:

    1. Jun Nakabayashi & Naoki Watanabe, 2010. "An Experimental Study of Bidding Behavior in Subcontract Auctions," Tsukuba Economics Working Papers 2010-009, Faculty of Humanities and Social Sciences, University of Tsukuba.
    2. Kirchkamp, Oliver & Poen, Eva & Rei, J. Philipp, 2009. "Outside options: Another reason to choose the first-price auction," European Economic Review, Elsevier, vol. 53(2), pages 153-169, February.
    3. Budde, Maximilian & Minner, Stefan, 2015. "Optimal capacity provision for service providers with subsequent auctioning of projects," International Journal of Production Economics, Elsevier, vol. 170(PB), pages 652-662.
    4. Dennis Clerck & Erik Demeulemeester, 2016. "A sequential procurement model for a PPP project pipeline," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 427-457, March.

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    More about this item

    Keywords

    Sequential first-price auctions; Revenue equivalence; Endogenous outside options; Procurement auction; Capacity constraints; C72; D44; L51;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • L51 - Industrial Organization - - Regulation and Industrial Policy - - - Economics of Regulation

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