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  1. Probabilistic Opinion Pooling Generalised. Part Two: The Premise-Based Approach.Franz Dietrich & Christian List - 2017 - Social Choice and Welfare 48 (4):787–814.
    How can different individuals' probability functions on a given sigma-algebra of events be aggregated into a collective probability function? Classic approaches to this problem often require 'event-wise independence': the collective probability for each event should depend only on the individuals' probabilities for that event. In practice, however, some events may be 'basic' and others 'derivative', so that it makes sense first to aggregate the probabilities for the former and then to let these constrain the probabilities for the latter. We formalize (...)
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  • The Impossibility of Unbiased Judgment Aggregation.Franz Dietrich & Christian List - 2010 - Theory and Decision 68 (3):281-299.
    Standard impossibility theorems on judgment aggregation over logically connected propositions either use a controversial systematicity condition or apply only to agendas of propositions with rich logical connections. Are there any serious impossibilities without these restrictions? We prove an impossibility theorem without requiring systematicity that applies to most standard agendas: Every judgment aggregation function (with rational inputs and outputs) satisfying a condition called unbiasedness is dictatorial (or effectively dictatorial if we remove one of the agenda conditions). Our agenda conditions are tight. (...)
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  • Judgment Aggregation: A Short Introduction.Christian List - 2012 - In Uskali Mäki (ed.), Handbook of the Philosophy of Economics. Elsevier.
    The aim of this article is to introduce the theory of judgment aggregation, a growing interdisciplinary research area. The theory addresses the following question: How can a group of individuals make consistent collective judgments on a given set of propositions on the basis of the group members' individual judgments on them? I begin by explaining the observation that initially sparked the interest in judgment aggregation, the so-called "doctinal" and "discursive paradoxes". I then introduce the basic formal model of judgment aggregation, (...)
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  • Judgment Aggregation in Nonmonotonic Logic.Xuefeng Wen - 2018 - Synthese 195 (8):3651-3683.
    Judgment aggregation studies how to aggregate individual judgments on logically correlated propositions into collective judgments. Different logics can be used in judgment aggregation, for which Dietrich and Mongin have proposed a generalized model based on general logics. Despite its generality, however, all nonmonotonic logics are excluded from this model. This paper argues for using nonmonotonic logic in judgment aggregation. Then it generalizes Dietrich and Mongin’s model to incorporate a large class of nonmonotonic logics. This generalization broadens the theoretical boundaries of (...)
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  • Methods for Distance-Based Judgment Aggregation.M. K. Miller & D. Osherson - unknown
    Judgment aggregation theory, which concerns the translation of individual judgments on logical propositions into consistent group judgments, has shown that group consistency generally cannot be guaranteed if each proposition is treated independently from the others. Developing the right method of abandoning independence is thus a high-priority goal. However, little work has been done in this area outside of a few simple approaches. To fill the gap, we compare four methods based on distance metrics between judgment sets. The methods generalize the (...)
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  • The Doctrinal Paradox, the Discursive Dilemma, and Logical Aggregation Theory.Philippe Mongin - 2012 - Theory and Decision 73 (3):315-355.
    Judgment aggregation theory, or rather, as we conceive of it here, logical aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds instead of merely preference judgments. It derives from Kornhauser and Sager’s doctrinal paradox and List and Pettit’s discursive dilemma, two problems that we distinguish emphatically here. The current theory has developed from the discursive dilemma, rather than the doctrinal paradox, and the final objective of the paper is to give the latter (...)
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  • Judgment Aggregation and the Problem of Tracking the Truth.Stephan Hartmann & Jan Sprenger - 2012 - Synthese 187 (1):209-221.
    The aggregation of consistent individual judgments on logically interconnected propositions into a collective judgment on those propositions has recently drawn much attention. Seemingly reasonable aggregation procedures, such as propositionwise majority voting, cannot ensure an equally consistent collective conclusion. The literature on judgment aggregation refers to that problem as the discursive dilemma. In this paper, we motivate that many groups do not only want to reach a factually right conclusion, but also want to correctly evaluate the reasons for that conclusion. In (...)
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  • Philippe Mongin (1950-2020).Jean Baccelli & Marcus Pivato - 2021 - Theory and Decision 90 (1):1-9.
    An obituary of Philippe Mongin (1950-2020).
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  • The Theory of Judgment Aggregation: An Introductory Review.Christian List - 2012 - Synthese 187 (1):179-207.
    This paper provides an introductory review of the theory of judgment aggregation. It introduces the paradoxes of majority voting that originally motivated the field, explains several key results on the impossibility of propositionwise judgment aggregation, presents a pedagogical proof of one of those results, discusses escape routes from the impossibility and relates judgment aggregation to some other salient aggregation problems, such as preference aggregation, abstract aggregation and probability aggregation. The present illustrative rather than exhaustive review is intended to give readers (...)
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  • The Possibility of Judgment Aggregation on Agendas with Subjunctive Implications.Franz Dietrich - 2010 - Journal of Economic Theory 145 (2):603-638.
    The new …eld of judgment aggregation aims to …nd collective judgments on logically interconnected propositions. Recent impossibility results establish limitations on the possibility to vote independently on the propositions. I show that, fortunately, the impossibility results do not apply to a wide class of realistic agendas once propositions like “if a then b” are adequately modelled, namely as subjunctive implications rather than material implications. For these agendas, consistent and complete collective judgments can be reached through appropriate quota rules (which decide (...)
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  • Propositionwise Judgment Aggregation: The General Case.Franz Dietrich & Christian List - 2013 - Social Choice and Welfare 40 (4):1067-1095.
    In the theory of judgment aggregation, it is known for which agendas of propositions it is possible to aggregate individual judgments into collective ones in accordance with the Arrow-inspired requirements of universal domain, collective rationality, unanimity preservation, non-dictatorship and propositionwise independence. But it is only partially known (e.g., only in the monotonic case) for which agendas it is possible to respect additional requirements, notably non-oligarchy, anonymity, no individual veto power, or implication preservation. We fully characterize the agendas for which there (...)
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  • Aggregation Theory and the Relevance of Some Issues to Others.Franz Dietrich - 2015 - Journal of Economic Theory 160:463-493.
    I propose a relevance-based independence axiom on how to aggregate individual yes/no judgments on given propositions into collective judgments: the collective judgment on a proposition depends only on people’s judgments on propositions which are relevant to that proposition. This axiom contrasts with the classical independence axiom: the collective judgment on a proposition depends only on people’s judgments on the same proposition. I generalize the premise-based rule and the sequential-priority rule to an arbitrary priority order of the propositions, instead of a (...)
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  • Social Choice Theory.Christian List - 2013 - Stanford Encyclopedia of Philosophy.
    Social choice theory is the study of collective decision processes and procedures. It is not a single theory, but a cluster of models and results concerning the aggregation of individual inputs (e.g., votes, preferences, judgments, welfare) into collective outputs (e.g., collective decisions, preferences, judgments, welfare). Central questions are: How can a group of individuals choose a winning outcome (e.g., policy, electoral candidate) from a given set of options? What are the properties of different voting systems? When is a voting system (...)
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  • Judgment Aggregation with Consistency Alone.Franz Dietrich & Christian List - 2007 - Maastricht University.
    All existing impossibility theorems on judgment aggregation require individual and collective judgment sets to be consistent and complete, arguably a demanding rationality requirement. They do not carry over to aggregation functions mapping profiles of consistent individual judgment sets to consistent collective ones. We prove that, whenever the agenda of propositions under consideration exhibits mild interconnections, any such aggregation function that is "neutral" between the acceptance and rejection of each proposition is dictatorial. We relate this theorem to the literature.
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  • The Theory of Judgment Aggregation: An Introductory Review.Christian List - 2010 - LSE Choice Group Working Paper Series 6 (1).
    This paper provides an introductory review of the theory of judgment aggregation. It introduces the paradoxes of majority voting that originally motivated the field, explains several key results on the impossibility of propositionwise judgment aggregation, presents a pedagogical proof of one of those results, discusses escape routes from the impossibility and relates judgment aggregation to some other salient aggregation problems, such as preference aggregation, abstract aggregation and probability aggregation. The present illustrative rather than exhaustive review is intended to give readers (...)
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  • The Theory of Judgment Aggregation: An Introductory Review.Christian List - 2010 - LSE Choice Group Working Paper Series 6 (1).
    This paper provides an introductory review of the theory of judgment aggregation. It introduces the paradoxes of majority voting that originally motivated the field, explains several key results on the impossibility of propositionwise judgment aggregation, presents a pedagogical proof of one of those results, discusses escape routes from the impossibility and relates judgment aggregation to some other salient aggregation problems, such as preference aggregation, abstract aggregation and probability aggregation. The present illustrative rather than exhaustive review is intended to give readers (...)
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  • Majority Voting on Restricted Domains.Franz Dietrich & Christian List - 2010 - Journal of Economic Theory 145 (2):512-543.
    In judgment aggregation, unlike preference aggregation, not much is known about domain restrictions that guarantee consistent majority outcomes. We introduce several conditions on individual judgments su¢ - cient for consistent majority judgments. Some are based on global orders of propositions or individuals, others on local orders, still others not on orders at all. Some generalize classic social-choice-theoretic domain conditions, others have no counterpart. Our most general condition generalizes Sen’s triplewise value-restriction, itself the most general classic condition. We also prove a (...)
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  • Judgment Aggregation: A Survey.Christian List & Clemens Puppe - 2009 - In Christian List & Clemens Puppe (eds.), Handbook of Rational and Social Choice. Oxford University Press.
    Our aim in this survey article is to provide an accessible overview of some key results and questions in the theory of judgment aggregation. We omit proofs and technical details, focusing instead on concepts and underlying ideas.
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  • The Premiss-Based Approach to Judgment Aggregation.Franz Dietrich & Philippe Mongin - 2010 - Journal of Economic Theory 145 (2):562-582.
    In the framework of judgment aggregation, we assume that some formulas of the agenda are singled out as premisses, and that both Independence (formula-wise aggregation) and Unanimity Preservation hold for them. Whether premiss-based aggregation thus defined is compatible with conclusion-based aggregation, as defined by Unanimity Preservation on the non-premisses, depends on how the premisses are logically connected, both among themselves and with other formulas. We state necessary and sufficient conditions under which the combination of both approaches leads to dictatorship (resp. (...)
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  • Judgment Aggregation Without Full Rationality.Franz Dietrich & Christian List - 2008 - Social Choice and Welfare 31:15-39.
    Several recent results on the aggregation of judgments over logically connected propositions show that, under certain conditions, dictatorships are the only propositionwise aggregation functions generating fully rational (i.e., complete and consistent) collective judgments. A frequently mentioned route to avoid dictatorships is to allow incomplete collective judgments. We show that this route does not lead very far: we obtain oligarchies rather than dictatorships if instead of full rationality we merely require that collective judgments be deductively closed, arguably a minimal condition of (...)
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  • Introduction to Judgment Aggregation.Christian List & Ben Polak - 2010 - Journal of Economic Theory 145 (2):441-466.
    This introduces the symposium on judgment aggregation. The theory of judgment aggregation asks how several individuals' judgments on some logically connected propositions can be aggregated into consistent collective judgments. The aim of this introduction is to show how ideas from the familiar theory of preference aggregation can be extended to this more general case. We first translate a proof of Arrow's impossibility theorem into the new setting, so as to motivate some of the central concepts and conditions leading to analogous (...)
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  • The Present and Future of Judgement Aggregation Theory. A Law and Economics Perspective.Philippe Mongin - forthcoming - In Jean-François Laslier, Hervé Moulin, Remzi Sanver & William S. Zwicker (eds.), The Future of Economic Design. New York: Springer.
    This chapter briefly reviews the present state of judgment aggregation theory and tentatively suggests a future direction for that theory. In the review, we start by emphasizing the difference between the doctrinal paradox and the discursive dilemma, two idealized examples which classically serve to motivate the theory, and then proceed to reconstruct it as a brand of logical theory, unlike in some other interpretations, using a single impossibility theorem as a key to its technical development. In the prospective part, having (...)
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  • Premise Independence in Judgment Aggregation.Gabriella Pigozzi & L. van der Torre - manuscript
    ment on the same propositions, and is plagued by impossibility re- 2. What is the role of independence in judgment aggregation sults. In this paper we study the central notion of independence in..
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  • The Logic of Group Decisions: Judgment Aggregation.Gabriella Pigozzi - 2015 - Journal of Philosophical Logic 44 (6):755-769.
    Judgment aggregation studies how individual opinions on a given set of propositions can be aggregated to form a consistent group judgment on the same propositions. Despite the simplicity of the problem, seemingly natural aggregation procedures fail to return consistent collective outcomes, leading to what is now known as the doctrinal paradox. The first occurrences of the paradox were discovered in the legal realm. However, the interest of judgment aggregation is much broader and extends to political philosophy, epistemology, social choice theory, (...)
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  • Judgment Aggregation.Fabrizio Cariani - 2011 - Philosophy Compass 6 (1):22-32.
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