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Guilbaud's Theorem : an early contribution to judgment aggregation.
Eckert, Daniel; Monjardet, Bernard - Centre d'Économie de la Sorbonne, Université Paris 1 … - 2009
In a paper published in 1952, the French matematician Georges-Théodule Guilbaud has generalized Arrow's impossibility result to the "logical problem of aggregation", thus anticipating the literature on abstract aggregation theory and judgment aggregation. We reconstruct the proof of Guilbaud's...
Persistent link: https://www.econbiz.de/10004994284
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Aggregation of Monotonic Bernoullian Archimedean preferences : Arrovian impossibility results
Herzberg, Frederik - 2013
Cerreia-Vioglio, Ghirardato, Maccheroni, Marinacci and Siniscalchi (Economic Theory, 48:341-375, 2011) have recently proposed a very general axiomatisation of preferences in the presence of ambiguity, viz. Monotonic Bernoullian Archimedean (MBA) preference orderings. This paper investigates the...
Persistent link: https://www.econbiz.de/10010187944
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Social choice theory and the "Centre de Mathématique Sociale". Some historical notes
Monjardet, Bernard - HAL - 2005
In this paper we describe some research directions in social choice and aggregation theory led at the “Centre de Mathématique Sociale“ since the fifties. We begin by presenting some institutional aspects concerning this EHESS center. Then we sketch a thematic history by considering the...
Persistent link: https://www.econbiz.de/10010750632
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Guilbaud's Theorem : An early contribution to judgment aggregation
Eckert, Daniel; Monjardet, Bernard - HAL - 2009
In a paper published in 1952, the French mathematician Georges-Théodule Guilbaud has generalized Arrow's impossibility result to the "logical problem of aggregation", thus anticipating the literature on abstract aggregation theory and judgment aggregation. We reconstruct the proof of Guilbaud's...
Persistent link: https://www.econbiz.de/10010738468
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Aggregation of Monotonic Bernoullian Archimedean preferences: Arrovian impossibility results
Herzberg, Frederik - 2013
Cerreia-Vioglio, Ghirardato, Maccheroni, Marinacci and Siniscalchi (Economic Theory, 48:341-375, 2011) have recently proposed a very general axiomatisation of preferences in the presence of ambiguity, viz. Monotonic Bernoullian Archimedean (MBA) preference orderings. This paper investigates the...
Persistent link: https://www.econbiz.de/10010352841
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Aggregation of Monotonic Bernoullian Archimedean preferences: Arrovian impossibility results
Herzberg, Frederik - Institut für Mathematische Wirtschaftsforschung, … - 2013
Cerreia-Vioglio, Ghirardato, Maccheroni, Marinacci and Siniscalchi (Economic Theory, 48:341--375, 2011) have recently proposed a very general axiomatisation of preferences in the presence of ambiguity, viz. Monotonic Bernoullian Archimedean (MBA) preference orderings. This paper investigates the...
Persistent link: https://www.econbiz.de/10011098639
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Introduction to Judgment Aggregation
List, Christian; Polak, Ben - Cowles Foundation for Research in Economics, Yale University - 2010
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...
Persistent link: https://www.econbiz.de/10008547444
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Introduction to judgment aggregation
List, Christian; Polak, Ben - London School of Economics (LSE) - 2010
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...
Persistent link: https://www.econbiz.de/10010746124
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Impossibility results for infinite-electorate abstract aggregation rules
Herzberg, Frederik; Eckert, Daniel - 2009
preferences that it generalises. This is due to the fact that the typical judgment aggregation problem induces an ultrafilter on …, dictatorship then immediately follows from the principality of an ultrafilter on a finite set. This is not the case for an infinite … impossibility results for free ultrafilters: The domain of an ultraproduct over a free ultrafilter extends the individual factor …
Persistent link: https://www.econbiz.de/10010272584
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Social choice of convex risk measures through Arrovian aggregation of variational preferences
Herzberg, Frederik - 2010
This paper studies collective decision making with regard to convex risk measures: It addresses the question whether there exist nondictatorial aggregation functions of convex risk measures satisfying Arrow-type rationality axioms (weak universality, systematicity, Pareto principle). Herein,...
Persistent link: https://www.econbiz.de/10010272587