Abstract
Are the discursive dilemma and the doctrinal paradox just quirks of proposition wise majority voting? Or would any other seemingly reasonable aggregation procedure run into similar troubles? In this chapter we show how these questions can be answered from a very general standpoint, using the so-called axiomatic method. Aggregation conditions are chosen as axioms in an attempt to restrict the set of possible aggregation procedures to a few desirable ones. The axiomatic method is the most influential methodological tool of social choice theory since Arrow’s theorem [Arr50], and the chapter showcases its application to judgment aggregation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Grossi, D., Pigozzi, G. (2014). Impossibility. In: Judgment Aggregation: A Primer. Synthesis Lectures on Artificial Intelligence and Machine Learning. Springer, Cham. https://doi.org/10.1007/978-3-031-01568-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-031-01568-7_3
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-00440-7
Online ISBN: 978-3-031-01568-7
eBook Packages: Synthesis Collection of Technology (R0)eBColl Synthesis Collection 5