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Fairness and aggregation

Fairness and aggregation
Fairness and aggregation
Sometimes, two unfair distributions cancel out in aggregate. Paradoxically, two distributions each of which is fair in isolation may give rise to aggregate unfairness. When assessing the fairness of distributions, it therefore matters whether we assess transactions piecemeal or focus only on the overall result. This piece illustrates these difficulties for two leading theories of fairness (proportionality and shortfall minimization) before offering a formal proof that no non-trivial theory guarantees aggregativity. This is not intended as a criticism of any particular theory, but as a datum that must be taken into account in constructing a theory of fairness.
aggregation, broome, cupit, distribution, division, fairness, proportionality, shortfall minimisation, stone
0953-8208
1-10
Paseau, A.C.
0688b12f-10f8-475b-a719-208c9d0c2a93
Saunders, Ben
aed7ba9f-f519-4bbf-a554-db25b684037d
Paseau, A.C.
0688b12f-10f8-475b-a719-208c9d0c2a93
Saunders, Ben
aed7ba9f-f519-4bbf-a554-db25b684037d

Paseau, A.C. and Saunders, Ben (2015) Fairness and aggregation. Utilitas, 1-10. (doi:10.1017/S0953820815000230).

Record type: Article

Abstract

Sometimes, two unfair distributions cancel out in aggregate. Paradoxically, two distributions each of which is fair in isolation may give rise to aggregate unfairness. When assessing the fairness of distributions, it therefore matters whether we assess transactions piecemeal or focus only on the overall result. This piece illustrates these difficulties for two leading theories of fairness (proportionality and shortfall minimization) before offering a formal proof that no non-trivial theory guarantees aggregativity. This is not intended as a criticism of any particular theory, but as a datum that must be taken into account in constructing a theory of fairness.

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More information

Accepted/In Press date: 18 January 2015
e-pub ahead of print date: 8 June 2015
Keywords: aggregation, broome, cupit, distribution, division, fairness, proportionality, shortfall minimisation, stone
Organisations: Social Sciences

Identifiers

Local EPrints ID: 377843
URI: http://eprints.soton.ac.uk/id/eprint/377843
ISSN: 0953-8208
PURE UUID: a7f4d986-13ed-4c9d-9a92-868432fb1fee
ORCID for Ben Saunders: ORCID iD orcid.org/0000-0002-5147-6397

Catalogue record

Date deposited: 08 Jun 2015 15:44
Last modified: 21 Nov 2021 03:11

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Contributors

Author: A.C. Paseau
Author: Ben Saunders ORCID iD

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