A Complete Conclusion-Based Procedure for Judgment Aggregation

  • Gabriella Pigozzi
  • Marija Slavkovik
  • Leendert van der Torre
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5783)

Abstract

Judgment aggregation is a formal theory reasoning about how a group of agents can aggregate individual judgments on connected propositions into a collective judgment on the same propositions. Three procedures for successfully aggregating judgments sets are: premise-based procedure, conclusion-based procedure and distance-based merging. The conclusion-based procedure has been little investigated because it provides a way to aggregate the conclusions, but not the premises, thus it outputs an incomplete judgment set. The goal of this paper is to present a conclusion-based procedure outputting complete judgment sets.

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References

  1. 1.
    Bovens, L., Rabinowicz, W.: Democratic answers to complex questions. an epistemic perspective. Synthese 150, 131–153 (2006)MATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Brams, S., Kilgour, D., Sanver, M.: A minimax procedure for negotiating multilateral treaties. In: Wiberg, M. (ed.) Reasoned Choices: Essays in Honor of Hannu Nurmi, pp. 265–282. Finnish Political Science Association (2004)Google Scholar
  3. 3.
    Chapman, B.: Rational aggregation. Politics, Philosophy and Economics 1(3), 337–354 (2002)CrossRefGoogle Scholar
  4. 4.
    Dietrich, F., List, C.: Judgment aggregation by quota rules: majority voting generalized. Journal of Theoretical Politics 19(4), 391–424 (2007)CrossRefGoogle Scholar
  5. 5.
    Dietrich, F., Mongin, P.: The premiss-based approach to judgment aggregation. Research memoranda. METEOR, Maastricht Research School of Economics of Technology and Organization, Maastricht (2008)Google Scholar
  6. 6.
    Everaere, P., Konieczny, S., Marquis, P.: The strategy-proofness landscape of merging. J. Artif. Intell. Res. (JAIR) 28, 49–105 (2007)MATHGoogle Scholar
  7. 7.
    Konieczny, S., Lang, J., Marquis, P.: Da2 merging operators. Artificial Intelligence 157, 49–79 (2004)MATHCrossRefMathSciNetGoogle Scholar
  8. 8.
    Konieczny, S., Pino-Pérez, R.: Merging information under constraints: a logical framework. Journal of Logic and Computation 12(5), 773–808 (2002)MATHCrossRefMathSciNetGoogle Scholar
  9. 9.
    Kornhauser, L., Sager, L.: Unpacking the court. Yale Law Journal 96, 82–117 (1986)CrossRefGoogle Scholar
  10. 10.
    Kornhauser, L., Sager, L.: The one and the many: Adjudication in collegial courts. California Law Review 81, 1–51 (1993)CrossRefGoogle Scholar
  11. 11.
    List, C.: A model of path-dependence in decisions over multiple propositions. American Political Science Review 98(3), 495–513 (2004)CrossRefMathSciNetGoogle Scholar
  12. 12.
    List, C.: Judgment aggregation - a bibliography on the discursive dilemma, the doctrinal paradox and decisions on multiple propositions (2007), http://personal.lse.ac.uk/LIST/doctrinalparadox.htm
  13. 13.
    List, C., Puppe, C.: Judgment aggregation: A survey. In: Anand, P., Puppe, C., Pattanaik, P. (eds.) Oxford Handbook of Rational and Social Choice. Oxford University Press, Oxford (forthcoming)Google Scholar
  14. 14.
    Mongin, P.: Factoring out the impossibility of logical aggregation. Journal of Economic Theory 141(1), 100–113 (2008)MATHCrossRefGoogle Scholar
  15. 15.
    Nash, J.R.: A context-sensitive voting protocol paradigm for multimember courts. Stanford Law Review 56, 75–159 (2003)Google Scholar
  16. 16.
    Nehring, K.: The (im)possibility of a Paretian rational. Economics working papers, Institute for Advanced Study, School of Social Science (November 2005)Google Scholar
  17. 17.
    Pettit, P.: Deliberative democracy and the discursive dilemma. Philosophical Issues 11, 268–299 (2001)CrossRefGoogle Scholar
  18. 18.
    Pigozzi, G.: Belief merging and the discursive dilemma: an argument-based account to paradoxes of judgment aggregation. Synthese 152(2), 285–298 (2006)MATHCrossRefMathSciNetGoogle Scholar
  19. 19.
    Pigozzi, G., Slavkovik, M., van der Torre, L.: A complete conclusion-based procedure for judgment aggregation. University of Luxembourg (July 2009) ISBN number: 978-2-87971-028-0Google Scholar
  20. 20.
    Pigozzi, G., Slavkovik, M., van der Torre, L.: Conclusion-based procedure for judgment aggregation satisfying premise independence. In: van der Hoek, W., Bonanno, G., Lowe, B. (eds.) Proceedings of the Eighth International Conference on Logic and the Foundations of Game and Decision Theory, LOFT 2008, Amsterdam, The Netherlands, p. 35 (2008)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Gabriella Pigozzi
    • 1
  • Marija Slavkovik
    • 1
  • Leendert van der Torre
    • 1
  1. 1.Individual and Collective Reasoning, Computer Science and CommunicationUniversity of LuxembourgLuxembourg

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