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Theories of Fairness and Aggregation

Bibliographic Data

ID23200540
AuthorsStefan Wintein (0000-0002-1394-9704, Erasmus University Rotterdam, corresponding author), Conrad Heilmann (0000-0003-1007-4372, Erasmus University Rotterdam)
Year2020
Volume85
Issue3
Pages715-738
Publication date2020-06-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueErkenntnis (JOURNAL)
Journal identifiersISSN: 0165-0106 • E-ISSN: 1572-8420
PublisherSpringer Science and Business Media LLC (PUBLISHER)
DOI10.1007/s10670-018-0045-1
OpenAlexW2884357642
LanguageEN
Citations received3
References cited15

We investigate the issue of aggregativity in fair division problems from the perspective of cooperative game theory and Broomean theories of fairness. Paseau and Saunders (Utilitas 27:460–469, 2015) proved that no non-trivial theory of fairness can be aggregative and conclude that theories of fairness are therefore problematic, or at least incomplete. We observe that there are theories of fairness, particularly those that are based on cooperative game theory, that do not face the problem of non-aggregativity. We use this observation to argue that the universal claim that no non-trivial theory of fairness can guarantee aggregativity is false. Paseau and Saunders’s mistaken assertion can be understood as arising from a neglect of the (cooperative) games approach to fair division. Our treatment has two further pay-offs: for one, we give an accessible introduction to the (cooperative) games approach to fair division, whose significance has hitherto not been appreciated by philosophers working on fairness. For another, our discussion explores the issue of aggregativity in fair division problems in a comprehensive fashion.

Assertion · Division (mathematics) · Economics · Epistemology · Face (sociological concept) · Fair division · Game theory · Law and economics · Mathematical economics · Neglect · Ontology · Perspective (graphical) · Sociology · Artificial Intelligence · Computer Science · Free Will and Agency · Mathematics · Philosophical Ethics and Theory · Philosophy · Political Philosophy and Ethics · Psychology

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  • The Nucleolus of a Characteristic Function Game

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    Benjamin Curtis, B L Curtis•Analysis•2014

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    John Broome•Proceedings of the Aristotelian…•1991

  • Fairness Between Competing Claims

    Open Access•Ben Saunder, Ben Saunders•Res Publica. Revista de Historia…•2010

  • Fairness and Aggregation

    Open Access•A C Paseau, Ben Saunder et al.•Utilitas•2015

  • On Fairness and Claims

    Open Access•Patrick Tomlin•Utilitas•2012

  • A problem of rights arbitration from the Talmud

    Open Access•Barry O’neill, Barry O'Neill•Mathematical Social Sciences•1982

  • How to be fairer

    Open Access•Conrad Heilmann, Stefan Wintein•Synthese•2017

  • Treating Broome Fairly

    Open Access•Christian Piller•Utilitas•2016

  • Dividing the indivisible

    Open Access•Stefan Wintein, Conrad Heilmann•Politics Philosophy & Economics•2017

Unique citing works3
Citations per year1.5
Citation span2024 - 2024 (1)
Citation velocityrecent
Highly citedNo
Citation typesNeutral: 3

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