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Weak cartels and collusion-proof auctions

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  • Che, Yeon-Koo
  • Condorelli, Daniele
  • Kim, Jinwoo

Abstract

We study private value auctions in which bidders may collude without using side-payments. In our model, bidders coordinate their actions to achieve an outcome that interim-Pareto dominates the noncooperative outcome. We characterize auctions that are collusion-proof in the sense that no such coordination opportunities exist, and show that the efficient and revenue maximizing auctions are not collusion-proof unless all bidders exhibit a concave distribution of valuations. We then solve for revenue maximizing collusion-proof auctions. If distributions of valuations are symmetric and single-peaked, the optimal selling mechanism is a standard auction with a minimum bid, followed by sequential negotiation in case no bidder bids above the minimum bid.

Suggested Citation

  • Che, Yeon-Koo & Condorelli, Daniele & Kim, Jinwoo, 2018. "Weak cartels and collusion-proof auctions," Journal of Economic Theory, Elsevier, vol. 178(C), pages 398-435.
  • Handle: RePEc:eee:jetheo:v:178:y:2018:i:c:p:398-435
    DOI: 10.1016/j.jet.2018.09.005
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    2. Asseyer, Andreas, 2020. "Collusion and delegation under information control," Discussion Papers 2020/3, Free University Berlin, School of Business & Economics.
    3. Juan Ortner & Sylvain Chassang & Jun Nakabayashi & Kei Kawai, 2020. "Screening Adaptive Cartels," Working Papers 2020-59, Princeton University. Economics Department..
    4. Gagan Aggarwal & Kshipra Bhawalkar & Guru Guruganesh & Andres Perlroth, 2021. "Maximizing revenue in the presence of intermediaries," Papers 2111.10472, arXiv.org.
    5. Baccara, Mariagiovanna & Asker, John & Lee, SangMok, 2021. "Patent Auctions and Bidding Coalitions: Structuring the Sale of Club Goods," CEPR Discussion Papers 15703, C.E.P.R. Discussion Papers.
    6. John Asker & Mariagiovanna Baccara & SangMok Lee, 2021. "Patent auctions and bidding coalitions: structuring the sale of club goods," RAND Journal of Economics, RAND Corporation, vol. 52(3), pages 662-690, September.
    7. Sylvain Chassang & Kei Kawai & Jun Nakabayashi & Juan Ortner, 2019. "Data Driven Regulation: Theory and Application to Missing Bids," Boston University - Department of Economics - Working Papers Series WP2019-04, Boston University - Department of Economics.
    8. Daniele Condorelli & Massimiliano Furlan, 2023. "Cheap Talking Algorithms," Papers 2310.07867, arXiv.org, revised Jun 2024.
    9. Peng Hao & Jun-Peng Guo & Eoghan O’Neill & Yong-Heng Shi, 2023. "When Will First-Price Work Well? The Impact of Anti-Corruption Rules on Photovoltaic Power Generation Procurement Auctions," Sustainability, MDPI, vol. 15(4), pages 1-24, February.
    10. Mookherjee, Dilip & Motta, Alberto & Tsumagari, Masatoshi, 2020. "Consulting collusive experts," Games and Economic Behavior, Elsevier, vol. 122(C), pages 290-317.
    11. Asseyer, Andreas, 2020. "Collusion and delegation under information control," Theoretical Economics, Econometric Society, vol. 15(4), November.
    12. Guo, Jiantao & Zhang, Juliang & Cheng, T.C.E. & Zhao, Shouting, 2022. "Truthful double auction mechanisms for online freight platforms with transaction costs," Transportation Research Part B: Methodological, Elsevier, vol. 158(C), pages 164-186.
    13. Lagziel, David, 2019. "Credit auctions and bid caps," Games and Economic Behavior, Elsevier, vol. 113(C), pages 416-422.
    14. Deininger, Klaus W. & Ali, Daniel Ayalew & Neyter, Roman, 2023. "Impacts of a mandatory shift to decentralized online auctions on revenue from public land leases in Ukraine," Journal of Economic Behavior & Organization, Elsevier, vol. 213(C), pages 432-450.
    15. Xu Lang & Zaifu Yang, 2019. "A Conic Approach to the Implementation of Reduced-Form Allocation Rules," Discussion Papers 19/12, Department of Economics, University of York.

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    More about this item

    Keywords

    Weak cartels; Weakly collusion-proof auctions; Optimal auctions;
    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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