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Complexity of manipulation and bribery in judgment aggregation for uniform premise-based quota rules

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  • Baumeister, Dorothea
  • Erdélyi, Gábor
  • Erdélyi, Olivia J.
  • Rothe, Jörg

Abstract

Endriss et al. (2012) initiated the complexity-theoretic study of problems related to judgment aggregation. We extend their results on the manipulation of two specific judgment aggregation procedures to a whole class of such procedures, namely to uniform premise-based quota rules. In addition, we consider incomplete judgment sets and the notions of top-respecting and closeness-respecting preferences introduced by Dietrich and List (2007). This complements previous work on the complexity of manipulation in judgment aggregation that focused on Hamming-distance-respecting preferences only, which we also study here. Furthermore, inspired by work on bribery in voting (Faliszewski and Rothe, in press), we introduce and study the closely related issue of bribery in judgment aggregation.

Suggested Citation

  • Baumeister, Dorothea & Erdélyi, Gábor & Erdélyi, Olivia J. & Rothe, Jörg, 2015. "Complexity of manipulation and bribery in judgment aggregation for uniform premise-based quota rules," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 19-30.
    • Handle: RePEc:eee:matsoc:v:76:y:2015:i:c:p:19-30
    DOI: 10.1016/j.mathsocsci.2015.03.006
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    References listed on IDEAS

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    1. Nehring, Klaus & Pivato, Marcus & Puppe, Clemens, 2014. "The Condorcet set: Majority voting over interconnected propositions," Journal of Economic Theory, Elsevier, vol. 151(C), pages 268-303.
    2. Dietrich, Franz & List, Christian, 2007. "Strategy-Proof Judgment Aggregation," Economics and Philosophy, Cambridge University Press, vol. 23(3), pages 269-300, November.
    3. Anand, Paul & Pattanaik, Prasanta & Puppe, Clemens (ed.), 2009. "The Handbook of Rational and Social Choice," OUP Catalogue, Oxford University Press, number 9780199290420.
    4. List, Christian, 2004. "A Model of Path-Dependence in Decisions over Multiple Propositions," American Political Science Review, Cambridge University Press, vol. 98(3), pages 495-513, August.
    5. Dorothea Baumeister & Gábor Erdélyi & Edith Hemaspaandra & Lane A. Hemaspaandra & Jörg Rothe, 2010. "Computational Aspects of Approval Voting," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 199-251, Springer.
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    Cited by:

    1. Zoi Terzopoulou & Ulle Endriss, 2019. "Strategyproof judgment aggregation under partial information," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 415-442, October.

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