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Strategy-Proof Compromises

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  • Peter Postl

Abstract

We study strategy-proof decision rules in the variants of the canonical public good model proposed by Borgers and Postl (2009). In this setup, we fully characterize the set of budget-balanced strategy-proof deterministic mechanisms, which are simple threshold rules. For smooth probabilistic mechanisms we provide a necessary and sufficient condition for dominant strategy implementation. When allowing for discontinuities in the mechanism, our necessary condition remains valid, but additional conditions must hold for sufficiency. We also show that, among ex posts efficient rules, only dictatorial ones are strategy-proof. While familiar in spirit, this result is not the consequence of any known result in the literature.

Suggested Citation

  • Peter Postl, 2011. "Strategy-Proof Compromises," Discussion Papers 10-12r, Department of Economics, University of Birmingham.
  • Handle: RePEc:bir:birmec:10-12r
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    File URL: ftp://ftp.bham.ac.uk/pub/RePEc/pdf/10-12R.pdf
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    Cited by:

    1. Giles, Adam & Postl, Peter, 2014. "Equilibrium and effectiveness of two-parameter scoring rules," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 31-52.
    2. Lars EHLERS & Dipjyoti MAJUMDAR & Debasis MISHRA & Arunava SEN, 2016. "Continuity and Incentive Compatibility in Cardinal Voting Mechanisms," Cahiers de recherche 04-2016, Centre interuniversitaire de recherche en ├ęconomie quantitative, CIREQ.
    3. EHLERS, Lars & MAJUMDAR, Dipjyoti & MISHRA, Debasis & SEN, Arunava, 2016. "Continuity and incentive compatibility," Cahiers de recherche 2016-04, Universite de Montreal, Departement de sciences economiques.

    More about this item

    Keywords

    Compromise; Dominant strategy implementation;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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