Skip to main content
Log in

A liberal paradox for judgment aggregation

  • Original Paper
  • Published:
Social Choice and Welfare Aims and scope Submit manuscript

Abstract

In the emerging literature on judgment aggregation over logically connected propositions, expert rights or liberal rights have not been investigated yet. A group making collective judgments may assign individual members or subgroups with expert knowledge on, or particularly affected by, certain propositions the right to determine the collective judgment on those propositions. We identify a problem that generalizes Sen’s ‘liberal paradox’. Under plausible conditions, the assignment of rights to two or more individuals or subgroups is inconsistent with the unanimity principle, whereby unanimously accepted propositions are collectively accepted. The inconsistency can be avoided if individual judgments or rights satisfy special conditions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Blau JH (1975) Liberal values and independence. Rev Econ Stud 42:395–402

    Article  Google Scholar 

  • Bovens L, Rabinowicz W (2006) Democratic answers to complex questions—an epistemic perspective. Synthese 150:131–153

    Article  Google Scholar 

  • Bradley R (1999) Conditional desirability. Theory Decis 47:23–55

    Article  Google Scholar 

  • Craven J (1982) Liberalism and individual preferences. Theory Decis 14:351–360

    Article  Google Scholar 

  • Deb R, Pattanaik PK, Razzolini L (1997) Game forms, rights, and the efficiency of social outcomes. J Econ Theory 72:74–95

    Article  Google Scholar 

  • Dietrich F (2006) Judgment aggregation: (im)possibility theorems. J Econ Theory 126(1):286–298

    Article  Google Scholar 

  • Dietrich F (2007a) A generalised model of judgment aggregation. Soc Choice Welf 28(4):529–565

    Article  Google Scholar 

  • Dietrich F (2007b) Aggregation theory and the relevance of some issues to others. Working paper, London School of Economics

  • Dietrich F (forthcoming) The possibility of judgment aggregation on agendas with subjunctive implications. J Econ Theory

  • Dietrich F, List C (2007) Arrow’s theorem in judgment aggregation. Soc Choice Welf 29(1):19–33

    Article  Google Scholar 

  • Dokow E, Holzman R (2005) Aggregation of binary evaluations. Working paper, Technion Israel Institute of Technology

  • Dowding K, van Hees M (2003) The construction of rights. Am Polit Sci Review 97:281–293

    Google Scholar 

  • Gigliotti GA (1986) Comment on craven. Theory Decis 21:89–95

    Article  Google Scholar 

  • van Hees M (1999) Liberalism, efficiency, and stability: some possibility results. J Econ Theory 88:294–309

    Article  Google Scholar 

  • van Hees M (2004) Freedom of choice and diversity of options: some difficulties. Soc Choice Welf 22:253–266

    Article  Google Scholar 

  • van Hees M (2007) The limits of epistemic democracy. Soc Choice Welf 28(4):649–666

    Article  Google Scholar 

  • Hintikka J (1971) Some main problems of deontic logic. In: Hilpinen R (ed) Deontic logic: introductory and systematic deadings, Dordrecht (D. Reidel): pp. 59–104

  • Konieczny S, Pino-Perez R (2002) Merging information under constraints: a logical framework. J Logic Comput 12:773–808

    Article  Google Scholar 

  • Kornhauser LA, Sager LG (1986) Unpacking the court. Yale Law J 96(1):82–117

    Article  Google Scholar 

  • List C (2003) A possibility theorem on aggregation over multiple interconnected propositions. Math Soc Sci 45(1):1–13 (Corrigendum in Math Soc Sci 52:109–110)

    Article  Google Scholar 

  • List C (2004a) A model of path dependence in decisions over multiple propositions. Am Polit Sci Rev 98(3):495–513

    Article  Google Scholar 

  • List C (2004b) The probability of inconsistencies in complex collective decisions. Soc Choice Welf 24(1):3–32

    Article  Google Scholar 

  • List C, Pettit P (2002) Aggregating sets of judgments: an impossibility result. Econ Philos 18:89–110

    Google Scholar 

  • List C, Pettit P (2004) Aggregating sets of judgments: two impossibility results compared. Synthese 140(1–2):207–235

    Article  Google Scholar 

  • Nehring K, Puppe C (2002) Strategy-proof social choice on single-peaked domains: possibility, impossibility and the space between. Working paper, University of California at Davies

  • Nehring K, Puppe C (2006) Consistent judgement aggregation: the truth-functional case. Working paper, University of Karlsruhe

  • Pauly M, van Hees M (2006) Logical constraints on judgment aggregation. J Philos Logic 35:569–585

    Article  Google Scholar 

  • Pettit P (2001) Deliberative democracy and the discursive dilemma. Philos Issues 11:268–299

    Article  Google Scholar 

  • Pigozzi G (2006) Belief merging and the discursive dilemma: an argument-based account to paradoxes of judgment aggregation. Synthese 152(2):285–298

    Article  Google Scholar 

  • Rubinstein A, Fishburn P (1986) Algebraic aggregation theory. J Econ Theory 38:63–77

    Article  Google Scholar 

  • Sen AK (1970) The impossibility of a paretian liberal. J Polit Econ 78:152–157

    Article  Google Scholar 

  • Sen AK (1976) Liberty, unanimity and rights. Economica 43:217–245

    Article  Google Scholar 

  • Sen AK (1983) Liberty and social choice. J Philos 80:5–28

    Article  Google Scholar 

  • Wagner Decew J (1981) Conditional obligation and counterfactuals. J Philos Logic 10(1):55–72

    Article  Google Scholar 

  • Wilson R (1975) On the theory of aggregation. J Econ Theory 10:89–99

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christian List.

Additional information

Earlier versions of this paper were presented at the LGS-4 Conference in Caen, June 2005, and at the World Congress of the Econometric Society in London, August 2005. We are grateful for the comments we received at both occasions as well as from anonymous referees. Franz Dietrich acknowledges financial support from the European Commission-DG Research Sixth Framework Programme (CIT-2-CT-2004-506084 / Polarization and Conflict Project). Christian List acknowledges the hospitality of the Social and Political Theory Program, RSSS, Australian National University.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dietrich, F., List, C. A liberal paradox for judgment aggregation. Soc Choice Welfare 31, 59–78 (2008). https://doi.org/10.1007/s00355-007-0263-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00355-007-0263-y

Keywords

Navigation