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In response to recent work on the aggregation of individual judgments on logically connected propositions into collective judgments, it is often asked whether judgment aggregation is a special case of Arrowian preference aggregation. We argue the op- posite. After proving a general impossibility...
Persistent link: https://www.econbiz.de/10012766351
Persistent link: https://www.econbiz.de/10011707653
This paper studies a class of judgment aggregation rules, to be called `scoring rules' after their famous counterpart in preference aggregation theory. A scoring rule delivers the collective judgments which reach the highest total `score' across the individuals, subject to the judgments having...
Persistent link: https://www.econbiz.de/10015229917
This article gives a brief and informal introduction to the theory of judgment aggregation and to the discursive dilemma, focusing on methodology and interpretation.
Persistent link: https://www.econbiz.de/10015230707
This paper studies a class of judgment aggregation rules, to be called `scoring rules' after their famous counterpart in preference aggregation theory. A scoring rule delivers the collective judgments which reach the highest total `score' across the individuals, subject to the judgments having...
Persistent link: https://www.econbiz.de/10015230764
The contemporary theory of epistemic democracy often draws on the Condorcet Jury Theorem to formally justify the `wisdom of crowds'. But this theorem is inapplicable in its current form, since one of its premises -- voter independence -- is notoriously violated. This premise carries...
Persistent link: https://www.econbiz.de/10015232996
This paper studies a class of judgment aggregation rules, to be called 'scoring rules' after their famous counterpart in preference aggregation theory. A scoring rule delivers the collective judgments which reach the highest total 'score' across the individuals, subject to the judgments having...
Persistent link: https://www.econbiz.de/10015234500
What is the relationship between degrees of belief and binary beliefs? Can the latter be expressed as a function of the former – a so-called “belief-binarization rule” – without running into difficulties such as the lottery paradox? We show that this problem can be usefully analyzed from...
Persistent link: https://www.econbiz.de/10015257184
When individual judgments ('yes' or 'no') on some propositions are aggregated into collective judgments, the agenda setter can sometimes reverse a collective judgment by changing the set of propositions under consideration (the agenda). I define different kinds of agenda manipulation, and...
Persistent link: https://www.econbiz.de/10015239855
How can different individuals' probability assignments to some events be aggregated into a collective probability assignment? Classic results on this problem assume that the set of relevant events -- the agenda -- is a σ-algebra and is thus closed under disjunction (union) and conjunction...
Persistent link: https://www.econbiz.de/10015243297