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A Dynamic Non-direct Implementation Mechanism for Interdependent Value Problems, Second Version

Author

Listed:
  • Richard McLean

    () (Department of Economics, Rutgers University)

  • Andrew Postlewaite

    () (Department of Economics, University of Pennsylvania)

Abstract

Much of the literature on mechanism design and implementation uses the revelation principle to restrict attention to direct mechanisms. This is without loss of generality in a well defined sense. It is, however, restrictive if one is concerned with the set of equilibria, if one is concerned about the size of messages that will be sent, or if one is concerned about privacy. We showed in McLean and Postlewaite (2014) that when agents are informationally small, there exist small modifications to VCG mechanisms in interdependent value problems that restore incentive compatibility. We show here how one can construct a two-stage mechanism that similarly restores incentive compatibility while improving upon the direct one stage mechanism in terms of privacy and the size of messages that must be sent. The first stage essentially elicits that part of the agents' private information that induces interdependence and reveals it to all agents, transforming the interdependent value problem into a private value problem. The second stage is a VCG mechanism for the now private value problem. Agents typically need to transmit substantially less information in the two stage mechanism than would be necessary for a single stage mechanism. Lastly, the first stage that elicits the part of the agents' private information that induces interdependence can be used to transform certain other interdependent value problems into private value problems.

Suggested Citation

  • Richard McLean & Andrew Postlewaite, 2015. "A Dynamic Non-direct Implementation Mechanism for Interdependent Value Problems, Second Version," PIER Working Paper Archive 15-023, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Jun 2015.
  • Handle: RePEc:pen:papers:15-023
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    References listed on IDEAS

    as
    1. John O. Ledyard & Thomas R. Palfrey, 1994. "Voting and Lottery Drafts as Efficient Public Goods Mechanisms," Review of Economic Studies, Oxford University Press, vol. 61(2), pages 327-355.
    2. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    3. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Privacy; Auctions; Incentive Compatibility; Mechanism Design; Interdependent Values; Ex Post Incentive Compatibility; Informational Size;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D60 - Microeconomics - - Welfare Economics - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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