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Impossibilities for strategy-proof committee selection mechanisms with vetoers

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  • Van der Linden, Martin

Abstract

When a group of voters selects a committee out of a set of candidates, it is common and often desirable to endow these voters with some veto power. I present impossibility results showing that even limited veto power makes many mechanisms of interest manipulable. This applies in particular (i) to mechanisms the range of which contains a degenerate lottery in which a committee is chosen for sure and (ii) to mechanisms that are constructed from extensive game forms with a finite number of strategies. These impossibilities hold on a large set of domains including the domain of additive preferences, and even when probabilistic mechanisms are allowed and voters can report cardinal preferences.

Suggested Citation

  • Van der Linden, Martin, 2017. "Impossibilities for strategy-proof committee selection mechanisms with vetoers," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 111-121.
    • Handle: RePEc:eee:mateco:v:73:y:2017:i:c:p:111-121
    DOI: 10.1016/j.jmateco.2017.09.003
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    More about this item

    Keywords

    Mechanism design; Strategy-proofness; Veto; Probabilistic mechanism; Committee selection;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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