IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v104y2017icp78-91.html
   My bibliography  Save this article

Monotone equilibrium of two-bidder all-pay auctions Redux

Author

Listed:
  • Lu, Jingfeng
  • Parreiras, Sérgio O.

Abstract

In this paper, we revisit the two-bidder asymmetric all-pay auction of Amann and Leininger (1996) by allowing interdependent values and correlated signals. Both values and signals are distributed on continuous supports. We provide conditions for the existence and uniqueness of a monotone pure-strategy equilibrium (MPSE), and constructively characterize the MPSE when it exists. We find that given the marginal distributions of the signals, the equilibrium allocation is solely determined by how bidders' values depend on their signals. In particular, the equilibrium allocation does not depend on how bidders' signals are correlated.

Suggested Citation

  • Lu, Jingfeng & Parreiras, Sérgio O., 2017. "Monotone equilibrium of two-bidder all-pay auctions Redux," Games and Economic Behavior, Elsevier, vol. 104(C), pages 78-91.
  • Handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:78-91
    DOI: 10.1016/j.geb.2017.03.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825617300490
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2017.03.005?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ezra Einy & Mridu Prabal Goswami & Ori Haimanko & Ram Orzach & Aner Sela, 2017. "Common-value all-pay auctions with asymmetric information," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(1), pages 79-102, March.
    2. Siegel, Ron, 2014. "Asymmetric all-pay auctions with interdependent valuations," Journal of Economic Theory, Elsevier, vol. 153(C), pages 684-702.
    3. Krähmer, Daniel & Strausz, Roland, 2015. "Ex post information rents in sequential screening," Games and Economic Behavior, Elsevier, vol. 90(C), pages 257-273.
    4. Aloisio Araujo & Luciano Castro & Humberto Moreira, 2008. "Non-monotoniticies and the all-pay auction tie-breaking rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 407-440, June.
    5. Lizzeri, Alessandro & Persico, Nicola, 2000. "Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price," Games and Economic Behavior, Elsevier, vol. 30(1), pages 83-114, January.
    6. 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.
    7. Parreiras Sergio O., 2006. "Affiliated Common Value Auctions with Differential Information: The Two Bidder Case," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-19, December.
    8. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    9. Amann, Erwin & Leininger, Wolfgang, 1996. "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, Elsevier, vol. 14(1), pages 1-18, May.
    10. , & ,, 2006. "Revenue comparisons for auctions when bidders have arbitrary types," Theoretical Economics, Econometric Society, vol. 1(1), pages 95-118, March.
    11. 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.
    12. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zheng, Charles Z., 2019. "Necessary and sufficient conditions for peace: Implementability versus security," Journal of Economic Theory, Elsevier, vol. 180(C), pages 135-166.
    2. Shanglyu Deng & Hanming Fang & Qiang Fu & Zenan Wu, 2023. "Information Favoritism and Scoring Bias in Contests," PIER Working Paper Archive 23-002, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    3. Cohen, Chen & Lagziel, David & Levi, Ofer & Sela, Aner, 2023. "The role of the second prize in all-pay auctions with two heterogeneous prizes," Journal of Mathematical Economics, Elsevier, vol. 105(C).
    4. Jingfeng Lu & Hongkun Ma & Zhe Wang, 2018. "Ranking Disclosure Policies In All‐Pay Auctions," Economic Inquiry, Western Economic Association International, vol. 56(3), pages 1464-1485, July.
    5. Zhuoqiong Chen, 2021. "All-pay auctions with private signals about opponents’ values," Review of Economic Design, Springer;Society for Economic Design, vol. 25(1), pages 33-64, June.
    6. Eliaz, Kfir & Wu, Qinggong, 2018. "A simple model of competition between teams," Journal of Economic Theory, Elsevier, vol. 176(C), pages 372-392.
    7. Prokopovych, Pavlo & Yannelis, Nicholas C., 2023. "On monotone pure-strategy Bayesian-Nash equilibria of a generalized contest," Games and Economic Behavior, Elsevier, vol. 140(C), pages 348-362.
    8. Chi, Chang Koo & Murto, Pauli & Välimäki, Juuso, 2019. "All-pay auctions with affiliated binary signals," Journal of Economic Theory, Elsevier, vol. 179(C), pages 99-130.
    9. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Prokopovych, Pavlo & Yannelis, Nicholas C., 2023. "On monotone pure-strategy Bayesian-Nash equilibria of a generalized contest," Games and Economic Behavior, Elsevier, vol. 140(C), pages 348-362.
    2. Jingfeng Lu & Hongkun Ma & Zhe Wang, 2018. "Ranking Disclosure Policies In All‐Pay Auctions," Economic Inquiry, Western Economic Association International, vol. 56(3), pages 1464-1485, July.
    3. 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.
    4. Diego Aycinena & Rimvydas Baltaduonis & Lucas Rentschler, 2019. "Valuation structure in incomplete information contests: experimental evidence," Public Choice, Springer, vol. 179(3), pages 195-208, June.
    5. E. Feess & Gerd Muehlheusser & M. Walzl, 2008. "Unfair contests," Journal of Economics, Springer, vol. 93(3), pages 267-291, April.
      • Feess, E. & Muehlheusser, G. & Walzl, M., 2004. "Unfair contests," Research Memorandum 048, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    6. Chi, Chang Koo & Murto, Pauli & Välimäki, Juuso, 2019. "All-pay auctions with affiliated binary signals," Journal of Economic Theory, Elsevier, vol. 179(C), pages 99-130.
    7. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    8. Oriol Carbonell-Nicolau & Richard P. McLean, 2018. "On the Existence of Nash Equilibrium in Bayesian Games," Mathematics of Operations Research, INFORMS, vol. 43(2), pages 100-129, February.
    9. Shanglyu Deng & Hanming Fang & Qiang Fu & Zenan Wu, 2023. "Information Favoritism and Scoring Bias in Contests," PIER Working Paper Archive 23-002, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    10. Zhuoqiong Chen, 2021. "All-pay auctions with private signals about opponents’ values," Review of Economic Design, Springer;Society for Economic Design, vol. 25(1), pages 33-64, June.
    11. Grigorieva, E. & Herings, P.J.J. & Müller, R.J. & Vermeulen, A.J., 2004. "The communication complexity of private value single item auctions," Research Memorandum 050, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    12. Chi, Chang Koo & Murto, Pauli & Valimaki, Juuso, 2017. "All-Pay Auctions with Affiliated Values," MPRA Paper 80799, University Library of Munich, Germany.
    13. Kotowski, Maciej H. & Li, Fei, 2014. "The war of attrition and the revelation of valuable information," Economics Letters, Elsevier, vol. 124(3), pages 420-423.
    14. Vasilis Syrgkanis & David Kempe & Eva Tardos, 2019. "Information Asymmetries in Common-Value Auctions with Discrete Signals," Management Science, INFORMS, vol. 44(4), pages 1450-1476, November.
    15. Moreira, Humberto Ataíde & Araújo, Aloísio Pessoa de & Castro Filho, Luciano I. de, 2004. "Pure strategy equilibria of multidimensional and non-monotonic auctions," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 571, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    16. Araujo, Aloisio & de Castro, Luciano I., 2009. "Pure strategy equilibria of single and double auctions with interdependent values," Games and Economic Behavior, Elsevier, vol. 65(1), pages 25-48, January.
    17. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    18. Kotowski, Maciej H. & Li, Fei, 2014. "On the continuous equilibria of affiliated-value, all-pay auctions with private budget constraints," Games and Economic Behavior, Elsevier, vol. 85(C), pages 84-108.
    19. 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.
    20. Benjamin Kang & James Unwin, 2022. "All-pay auctions as models for military annexation," Letters in Spatial and Resource Sciences, Springer, vol. 15(2), pages 145-160, August.

    More about this item

    Keywords

    All-pay auctions; Asymmetries; Contests; Correlated signals; Interdependent valuations;
    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
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:78-91. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.