Abstract
This paper presents a quasi-lexicographic judgment aggregation rule based on the hierarchy of judges. We do not assume completeness at both individual and collective levels, which means that a judge can abstain from a proposition and the collective judgment on a proposition can be undetermined. We prove that the proposed rule is (weakly) oligarchic. This is by no means a negative result. In fact, our result demonstrates that with abstentions, oligarchic aggregation is not necessarily a single level determination but can be a multiple-level democracy, which partially explains its pervasiveness in the real world.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
List, C., Pettit, P.: Aggregating sets of judgments: An impossibility result. Economics and Philosophy 18(1), 89–110 (2002)
List, C., Pettit, P.: Aggregating sets of judgments: Two impossibility results compared. Synthese 140(1-2), 207–235 (2004)
Pauly, M., Van Hees, M.: Logical constraints on judgement aggregation. Journal of Philosophical Logic 35(6), 569–585 (2006)
Dietrich, F.: Judgment aggregation (im)possibility theorems. Journal of Economic Theory 126(1), 286–298 (2006)
Mongin, P.: Factoring out the impossibility of logical aggregation. Journal of Economic Theory 141(1), 100–113 (2008)
Dietrich, F., List, C.: Propositionwise judgment aggregation: the general case. Social Choice and Welfare 40(4), 1067–1095 (2013)
Dietrich, F., List, C.: A liberal paradox for judgment aggregation. Social Choice and Welfare 31(1), 59–78 (2008)
Gärdenfors, P.: A representation theorem for voting with logical consequences. Economics and Philosophy 22(2), 181–190 (2006)
Dietrich, F.: A generalised model of judgment aggregation. Social Choice and Welfare 28(4), 529–565 (2007)
Dietrich, F., List, C.: Judgment aggregation without full rationality. Social Choice and Welfare 31(1), 15–39 (2008)
Andréka, H., Ryan, M., Schobbens, P.Y.: Operators and laws for combining preference relations. Journal of Logic and Computation 12(1), 13–53 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Jiang, G., Zhang, D., Tang, X. (2013). Judgment Aggregation with Abstentions: A Hierarchical Approach. In: Grossi, D., Roy, O., Huang, H. (eds) Logic, Rationality, and Interaction. LORI 2013. Lecture Notes in Computer Science, vol 8196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40948-6_26
Download citation
DOI: https://doi.org/10.1007/978-3-642-40948-6_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-40947-9
Online ISBN: 978-3-642-40948-6
eBook Packages: Computer ScienceComputer Science (R0)