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Stability and optimal double auction design for a two-sided market

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  • Vikram, Aditya

Abstract

We investigate the stability of internet platform trading mechanisms using the notion of ex-ante incentive compatible core defined by Forges et al. (2002) in the context of an exchange economy. A mechanism can be blocked by a single buyer and seller pair if they can find an interim incentive-compatible trading mechanism that gives them higher ex-ante expected utilities. Standard double auction mechanisms like the trade reduction mechanism and McAfee double auction mechanism may not be single-buyer–single-seller (SBSS) ex-ante stable. We characterize interim incentive-compatible, interim individually-rational, symmetric and revenue-maximizing mechanisms that are SBSS ex-ante stable using methods in Myerson and Satterthwaite (1983).

Suggested Citation

  • Vikram, Aditya, 2025. "Stability and optimal double auction design for a two-sided market," Mathematical Social Sciences, Elsevier, vol. 133(C), pages 1-12.
    • Handle: RePEc:eee:matsoc:v:133:y:2025:i:c:p:1-12
    DOI: 10.1016/j.mathsocsci.2024.11.003
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    Keywords

    Double auction; Trading mechanism; Ex-ante stability; Revenue; Platform;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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