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Dominant strategy implementation of stable rules

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  • Kumano, Taro
  • Watabe, Masahiro

Abstract

Most priority-based assignment problems are solved using the deferred acceptance algorithm. Kojima (2010) shows that stability and nonbossiness are incompatible. We show that the deferred acceptance algorithm satisfies a weaker notion of nonbossiness for every substitutable priority structure. We also discuss the multiplicity of dominant strategy equilibria of the preference revelation game induced by the deferred acceptance algorithm. We show that even untruthful dominant strategy equilibria lead to the truthful equilibrium outcome. In other words, the deferred acceptance algorithm is dominant strategy implementable.

Suggested Citation

  • Kumano, Taro & Watabe, Masahiro, 2012. "Dominant strategy implementation of stable rules," Games and Economic Behavior, Elsevier, vol. 75(1), pages 428-434.
    • Handle: RePEc:eee:gamebe:v:75:y:2012:i:1:p:428-434
    DOI: 10.1016/j.geb.2011.11.008
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    Cited by:

    1. Takumi Kongo, 2013. "On non-bossy matching rules in two-sided matching problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(4), pages 303-311, December.
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    3. Diss, Mostapha & Doghmi, Ahmed & Tlidi, Abdelmonaim, 2016. "Strategy proofness and unanimity in many-to-one matching markets," MPRA Paper 75927, University Library of Munich, Germany, revised 08 Dec 2016.

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    More about this item

    Keywords

    Deferred acceptance algorithm; Dominant strategy implementation; Stability; Weak nonbossiness; Multiple equilibria;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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