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

Author

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  • Makoto Hagiwara

    (PhD Student, Department of Industrial Engineering and Economics, Tokyo Institute of Technology, JAPAN)

Abstract

We consider the implementation problem under incomplete information and private values. We investigate double implementability of (single-valued) mappings in dominant strategy equilibria and ex post equilibria. We call a mapping a "rule". We show that the notion of an ex post equilibrium is weaker than the notion of a dominant strategy equilibrium. Then, this double implementability notion is not trivial even under private values. We define a new strategic axiom that is stronger than "strategy-proofness", but weaker than "secure strategy-proofness". We call it "weak secure-strategy-proofness". We show that a rule is doubly implementable if and only if it is weakly securely-strategy-proof.

Suggested Citation

  • Makoto Hagiwara, 2019. "Double Implementation in Dominant Strategy Equilibria and Ex Post Equilibria with Private Values," Discussion Paper Series DP2019-13, Research Institute for Economics & Business Administration, Kobe University, revised Aug 2019.
    • Handle: RePEc:kob:dpaper:dp2019-13
    as

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    File URL: https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2019-13.pdf
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    References listed on IDEAS

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    More about this item

    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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