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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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    1. Barbera, Salvador & Masso, Jordi & Neme, Alejandro, 2005. "Voting by committees under constraints," Journal of Economic Theory, Elsevier, vol. 122(2), pages 185-205, June.
    2. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    3. Geoffroy de Clippel & Kfir Eliaz & Brian Knight, 2014. "On the Selection of Arbitrators," American Economic Review, American Economic Association, vol. 104(11), pages 3434-3458, November.
    4. R. Pablo Arribillaga & Jordi Massó, 2017. "Comparing Voting by Committees According to Their Manipulability," American Economic Journal: Microeconomics, American Economic Association, vol. 9(4), pages 74-107, November.
    5. Moulin, Herve, 1981. "Prudence versus sophistication in voting strategy," Journal of Economic Theory, Elsevier, vol. 24(3), pages 398-412, June.
    6. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    7. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    8. Biung-Ghi Ju, 2003. "A characterization of strategy-proof voting rules for separable weak orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(3), pages 469-499, December.
    9. Chatterji, Shurojit & Roy, Souvik & Sen, Arunava, 2012. "The structure of strategy-proof random social choice functions over product domains and lexicographically separable preferences," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 353-366.
    10. Francis X. Flanagan, 2015. "Peremptory Challenges and Jury Selection," Journal of Law and Economics, University of Chicago Press, vol. 58(2), pages 385-416.
    11. Gibbard, Allan, 1977. "Manipulation of Schemes That Mix Voting with Chance," Econometrica, Econometric Society, vol. 45(3), pages 665-681, April.
    12. James Schummer, 1999. "Strategy-proofness versus efficiency for small domains of preferences over public goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 709-722.
    13. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    14. Martin Van der Linden, 2018. "Bounded Rationality and the Choice of Jury Selection Procedures," Journal of Law and Economics, University of Chicago Press, vol. 61(4), pages 711-738.
    15. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-157, Jan.-Feb..
    16. Mueller, Dennis C., 1978. "Voting by veto," Journal of Public Economics, Elsevier, vol. 10(1), pages 57-75, August.
    17. Le Breton, Michel & Weymark, John A., 1999. "Strategy-proof social choice with continuous separable preferences," Journal of Mathematical Economics, Elsevier, vol. 32(1), pages 47-85, August.
    18. Fany Yuval, 2002. "Sophisticated Voting Under the Sequential Voting by Veto 1," Theory and Decision, Springer, vol. 53(4), pages 343-369, December.
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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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