Arrow on domain conditions: a fruitful road to travel

We stress the importance that Arrow attached to studying the role of domain conditions in determining the validity of his impossibility theorem, a subject to which he devoted two chapters of Social Choice and Individual Values. Then we partially survey recent results about the role of domain conditi...

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Bibliographic Details
Published in:Social choice and welfare 2020-03, Vol.54 (2/3), p.237-258
Main Authors: Barberà, Salvador, Berga, Dolors, Moreno, Bernardo
Format: Article
Language:English
Subjects:
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Economics and Finance
Game Theory
International Political Economy
Original Paper
Public Finance
Social and Behav. Sciences
Social choice
Social Policy
Social values
Travel
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Summary:We stress the importance that Arrow attached to studying the role of domain conditions in determining the validity of his impossibility theorem, a subject to which he devoted two chapters of Social Choice and Individual Values. Then we partially survey recent results about the role of domain conditions on the possibility to design satisfactory aggregation rules and social choice functions, as a proof of the continued vitality of this subject, that he pioneered, as he did with so many others.
ISSN:0176-1714
1432-217X
DOI:10.1007/s00355-019-01196-4