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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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    1. H. Peyton Young & Shmuel Zamir (ed.), 2015. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 4, number 4.
    2. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2008. "Rigging the lobbying process: An application of the all-pay auction," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 331-336, Springer.
    3. Yeon-Koo Che & Ian L. Gale, 2008. "Caps on Political Lobbying," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 337-345, Springer.
    4. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    5. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    6. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    7. Pekkarinen, Tuomas & Salvanes, Kjell G. & Sarvimäki, Matti, 2016. "The Evolution of Social Mobility: Norway over the 20th Century," IZA Discussion Papers 9752, Institute of Labor Economics (IZA).
    8. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities II. Multivariate reverse rule distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 499-516, December.
    9. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 467-498, December.
    10. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
    11. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
    12. Rentschler, Lucas & Turocy, Theodore L., 2016. "Two-bidder all-pay auctions with interdependent valuations, including the highly competitive case," Journal of Economic Theory, Elsevier, vol. 163(C), pages 435-466.
    13. Liu, Zhiyang & Chen, Bo, 2016. "A symmetric two-player all-pay contest with correlated information," Economics Letters, Elsevier, vol. 145(C), pages 6-10.
    14. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    15. Wang, Ruqu, 1991. "Common-value auctions with discrete private information," Journal of Economic Theory, Elsevier, vol. 54(2), pages 429-447, August.
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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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