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Double Implementation in Dominant Strategy Equilibria and Ex-Post Equilibria with Private Values

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  • Hagiwara Makoto

    (Faculty of Economics, Osaka University of Economics, 2-2-8, Osumi, Higashiyodogawa-ku, Osaka, 533-8533, Japan)

Abstract

We consider the implementation problem for incomplete information and private values. We investigate double implementability of social choice functions in dominant strategy equilibria and ex-post equilibria. We define a new strategic axiom that implies “strategy-proofness” and that is implied by “secure strategy-proofness,” but the converse of these relationships does not hold. We call it “weak secure-strategy-proofness.” We show that a social choice function is doubly implementable if and only if it is weakly securely-strategy-proof.

Suggested Citation

  • Hagiwara Makoto, 2023. "Double Implementation in Dominant Strategy Equilibria and Ex-Post Equilibria with Private Values," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 23(2), pages 663-678, June.
    • Handle: RePEc:bpj:bejtec:v:23:y:2023:i:2:p:663-678:n:12
    DOI: 10.1515/bejte-2021-0115
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    Keywords

    double implementation; dominant strategy equilibrium; ex-post equilibrium; weak secure-strategy-proofness; private values;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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