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The groupwise-pivotal referral auction: Core-selecting referral strategy-proof mechanism

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  • Jeong, Seungwon (Eugene)
  • Lee, Joosung

Abstract

We introduce the groupwise-pivotal referral (GPR) mechanism for auctions where buyers can participate through referrals. Each buyer's type consists of a valuation and referable buyers. Unlike the second-price auction (SPA), the Vickrey-Clarke-Groves (VCG) mechanism provides referral incentives. However, VCG is not budget-feasible. In contrast, under complete information, GPR is core-selecting, implying efficiency and budget feasibility. Under incomplete information, bidders refer truthfully and have no incentive to underbid in GPR. Furthermore, GPR's ex-post revenue outperforms both VCG and SPA, not just in equilibrium but also when bidders do not use weakly dominated strategies.

Suggested Citation

  • Jeong, Seungwon (Eugene) & Lee, Joosung, 2024. "The groupwise-pivotal referral auction: Core-selecting referral strategy-proof mechanism," Games and Economic Behavior, Elsevier, vol. 143(C), pages 191-203.
  • Handle: RePEc:eee:gamebe:v:143:y:2024:i:c:p:191-203
    DOI: 10.1016/j.geb.2023.11.012
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    More about this item

    Keywords

    Referral network; Referral strategy-proofness; Budget feasibility; Core; Shill-proofness; Groupwise collusion-proofness; Referrer's dilemma;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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