Abstract
Group decisions must often obey exogenous constraints. While in a preference aggregation problem constraints are modelled by restricting the set of feasible alternatives, this paper discusses the modelling of constraints when aggregating individual yes/no judgments on interconnected propositions. For example, court judgments in breach-of-contract cases should respect the constraint that action and obligation are necessary and sufficient for liability, and judgments on budget items should respect budgetary constraints. In this paper, we make constraints in judgment aggregation explicit by relativizing the rationality conditions of consistency and deductive closure to a constraint set, whose variation yields more or less strong notions of rationality. This approach of modelling constraints explicitly contrasts with that of building constraints as axioms into the logic, which turns compliance with constraints into a matter of logical consistency and thereby conflates requirements of ordinary logical consistency (such as not to affirm both a proposition and its negation) and requirements dictated by the environment (such as budgetary constraints). We present some general impossibility results on constrained judgment aggregation; they are immediate corollaries of known results on (unconstrained) judgment aggregation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Dietrich F. (2006), Judgment Aggregation: (Im)Possibility Theorems. Journal of Economic Theory 126(1): 286-298
Dietrich F. (2007), A generalised model of judgment aggregation. Social Choice and Welfare 28(4): 529-565
Dietrich (forthcoming), The possibility of judgment aggregation on agendas with subjunctive implications, Journal of Economic Theory
Dietrich F., List, C. (2007a), Arrow’s theorem in judgment aggregation. Social Choice and Welfare 29(1): 19-33
Dietrich F., List C. (2007b), Judgment aggregation with consistency alone, Working paper, London School of Economics
Dietrich F., List, C. (2008a), Judgment aggregation under constraints, in: Economics, Rational Choice and Normative Philosophy, T. Boylan and R. Gekker (eds.), London (Routledge)
Dietrich F., List, C. (2008b), Judgment aggregation without full rationality, Social Choice and Welfare 31(1): 15-39
Dokow E., Holzman R (forthcoming) Aggregation of binary evaluations, Working paper, Technion Israel Institute of Technology
Dokow E., Holzman R. (2006), Aggregation of binary evaluations with abstentions. Working paper, Technion Israel Institute of Technology
Konieczny S., Pino-Perez R. (2002), Merging information under constraints: a logical framework. Journal of Logic and Computation 12: 773-808
List C. (2004-7), Judgment aggregation: a bibliography on the discursive dilemma, doctrinal paradox and decisions on multiple propositions. Available at http://personal.lse.ac.uk/list/
List C. (2006), Republican Freedom and the Rule of Law. Politics, Philosophy and Economics 5(2): 201-220
List C., Pettit P. (2002), Aggregating Sets of Judgments: An Impossibility Result. Economics and Philosophy 18: 89-110
List C., Pettit P. (2001/2004), Aggregating Sets of Judgments: Two Impossibility Results Compared. Social and Political Theory Paper W20 (technical report ID 931), Australian National University; Synthese 140(1-2): 207-235
Nehring K. (2003), Arrow’s theorem as a corollary. Economics Letters 80: 379-382
Nehring K., Puppe C. (2002), Strategyproof Social Choice on Single-Peaked Domains: Possibility, Impossibility and the Space Between. Working paper, University of California at Davis
Nehring K., Puppe C. (2008), Consistent Judgment Aggregation: The Truth-Functional Case. Social Choice and Welfare 31: 41-57
Pauly M., van Hees M. (2006), Logical Constraints on Judgment Aggregation. Journal of Philosophical Logic 35: 569-585
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Netherlands
About this chapter
Cite this chapter
Dietrich, F., List, C. (2010). The Problem of Constrained Judgment Aggregation. In: Stadler, F. (eds) The Present Situation in the Philosophy of Science. The Philosophy of Science in a European Perspective, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9115-4_10
Download citation
DOI: https://doi.org/10.1007/978-90-481-9115-4_10
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-9114-7
Online ISBN: 978-90-481-9115-4
eBook Packages: Humanities, Social Sciences and LawPhilosophy and Religion (R0)