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All-pay auctions with affiliated values

Author

Listed:
  • Chi, Chang Koo

    (Dept. of Economics, Norwegian School of Economics and Business Administration)

  • Murto, Pauli

    (Aalto University School of Business)

  • Välimäki, Juuso

    (Aalto University School of Business)

Abstract

This paper analyzes all-pay auctions where the bidders have affiliated values for the object for sale and where the signals take binary values. Since signals are correlated, high signals indicate a high degree of competition in the auction and since even losing bidders must pay their bid, non-monotonic equilibria arise. We show that the game has a unique symmetric equilibrium, and that whenever the equilibrium is non-monotonic the contestants earn no rents. All-pay auctions result in low expected rents to the bidders, but also induce inefficient allocations in models with affiliated private values. With two bidders, the effect on rent extraction dominates, and all-pay auction outperforms standard auctions in terms of expected revenue. With many bidders, this revenue ranking is reversed for some parameter values and the inefficient allocations persist even in large auctions.

Suggested Citation

  • Chi, Chang Koo & Murto, Pauli & Välimäki, Juuso, 2017. "All-pay auctions with affiliated values," Discussion Paper Series in Economics 13/2017, Norwegian School of Economics, Department of Economics.
    • Handle: RePEc:hhs:nhheco:2017_013
    Note: This is DP No 13/2017
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    References listed on IDEAS

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    Cited by:

    1. Chi, Chang Koo, 2018. "An analysis of the two-bidder all-pay auction with common values," Discussion Paper Series in Economics 17/2018, Norwegian School of Economics, Department of Economics.

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    More about this item

    Keywords

    All-pay auctions; common values; affiliated signals;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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