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Perfect bidder collusion through bribe and request

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  • Lu, Jingfeng
  • Lu, Zongwei
  • Riis, Christian

Abstract

We study collusion in a second-price auction with two bidders in a dynamic environment. One bidder can make a take-it-or-leave-it collusion proposal, which consists of both an offer and a request of bribes, to the opponent. We show that there always exists a robust equilibrium in which the collusion success probability is one. In the equilibrium, for each type of initiator the expected payoff is generally higher than the counterpart in any robust equilibria of the single-option model (Esö and Schummer (2004)) and any other separating equilibria in our model.

Suggested Citation

  • Lu, Jingfeng & Lu, Zongwei & Riis, Christian, 2021. "Perfect bidder collusion through bribe and request," Games and Economic Behavior, Elsevier, vol. 129(C), pages 1-14.
    • Handle: RePEc:eee:gamebe:v:129:y:2021:i:c:p:1-14
    DOI: 10.1016/j.geb.2021.05.001
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    References listed on IDEAS

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    1. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-1797, November.
    2. Eso, Peter & Schummer, James, 2004. "Bribing and signaling in second price auctions," Games and Economic Behavior, Elsevier, vol. 47(2), pages 299-324, May.
    3. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-599, June.
      • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
    4. Maskin, Eric & Tirole, Jean, 1990. "The Principal-Agent Relationship with an Informed Principal: The Case of Private Values," Econometrica, Econometric Society, vol. 58(2), pages 379-409, March.
    5. Troyan, Peter, 2017. "Collusion and signaling in auctions with interdependent values," Journal of Economic Theory, Elsevier, vol. 170(C), pages 319-345.
    6. Milgrom, Paul & Roberts, John, 1986. "Price and Advertising Signals of Product Quality," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 796-821, August.
    7. Rachmilevitch, Shiran, 2013. "Bribing in first-price auctions," Games and Economic Behavior, Elsevier, vol. 77(1), pages 214-228.
    8. Rachmilevitch, Shiran, 2015. "Bribing in second-price auctions," Games and Economic Behavior, Elsevier, vol. 92(C), pages 191-205.
    9. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
    10. Kivetz, Gil & Tauman, Yair, 2010. "Simple collusive agreements in one-shot first-price auctions," Games and Economic Behavior, Elsevier, vol. 69(1), pages 138-149, May.
    11. Chien-Liang Chen & Yair Tauman, 2006. "Collusion in one-shot second-price auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(1), pages 145-172, May.
    12. Mailath, George J. & Zemsky, Peter, 1991. "Collusion in second price auctions with heterogeneous bidders," Games and Economic Behavior, Elsevier, vol. 3(4), pages 467-486, November.
    13. Maskin, Eric & Tirole, Jean, 1992. "The Principal-Agent Relationship with an Informed Principal, II: Common Values," Econometrica, Econometric Society, vol. 60(1), pages 1-42, January.
    14. Cho, In-Koo & Sobel, Joel, 1990. "Strategic stability and uniqueness in signaling games," Journal of Economic Theory, Elsevier, vol. 50(2), pages 381-413, April.
    15. Graham, Daniel A & Marshall, Robert C, 1987. "Collusive Bidder Behavior at Single-Object Second-Price and English Auctions," Journal of Political Economy, University of Chicago Press, vol. 95(6), pages 1217-1239, December.
    16. Wilson, Robert, 1985. "Multi-dimensional signalling," Economics Letters, Elsevier, vol. 19(1), pages 17-21.
    17. Zheng, Charles Z., 2019. "Bidding collusion without passive updating," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 70-77.
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    Cited by:

    1. Jingfeng Lu & Zongwei Lu & Christian Riis, 2021. "Peace through bribing," Papers 2107.11575, arXiv.org, revised Apr 2023.
    2. Deng, Shanglyu, 2023. "Speculation in procurement auctions," Journal of Economic Theory, Elsevier, vol. 212(C).

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    More about this item

    Keywords

    Second-price auction; Collusion; Multidimensional signaling; Bribe;
    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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