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Budget-Constrained Sequential Auctions with Incomplete Information

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  • Carolyn Pitchik

Abstract

I study a budget-constrained, private-valuation, sealed-bid sequential auction with two incompletely-informed, risk-neutral bidders in which the valuations and income may be non-monotonic functions of a bidder\\'s type. Parameters permit the existence of multiple equilibrium symmetric bidding functions that differ in allocation, efficiency and revenue. The sequence of sale affects the competition for a good and therefore also affects revenue and the prices of each good in a systematic way that depends on the relationship among the valuations and incomes of bidders. The sequence of sale may affect prices and revenue even when the number of bidders is large relative to the number of goods. If a particular good, say α, is allocated to a strong bidder independent of the sequence of sale, then auction revenue and the price of good α is higher when good α is sold first.

Suggested Citation

  • Carolyn Pitchik, 2006. "Budget-Constrained Sequential Auctions with Incomplete Information," Working Papers tecipa-230, University of Toronto, Department of Economics.
  • Handle: RePEc:tor:tecipa:tecipa-230
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    References listed on IDEAS

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    More about this item

    Keywords

    sequential auctions; budget constraints; efficiency; revenue; price; sequence.;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

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