On representation of monotone preference orders in a sequence space
On representation of monotone preference orders in a sequence space
In this paper we investigate the relation between scalar continuity and representability of monotone preference orders in a sequence space. Scalar continuity is shown to be sufficient for representability of a monotone preference order and easy to verify in concrete examples. Generalizing this result, we show that a condition, which restricts the extent of scalar discontinuity of a monotone preference order, ensures representability. We relate this condition to the well-known order dense property, which is both necessary and sufficient for representability
473–487
Mitra, Tapan
11b6191f-9af6-44dc-a437-a3b0cb72ed66
Ozbek, Kemal
e7edfcf5-cb17-4e64-bfa4-30fb527d2e46
2013
Mitra, Tapan
11b6191f-9af6-44dc-a437-a3b0cb72ed66
Ozbek, Kemal
e7edfcf5-cb17-4e64-bfa4-30fb527d2e46
Mitra, Tapan and Ozbek, Kemal
(2013)
On representation of monotone preference orders in a sequence space.
Social Choice and Welfare, 41, .
(doi:10.1007/s00355-012-0693-z).
Abstract
In this paper we investigate the relation between scalar continuity and representability of monotone preference orders in a sequence space. Scalar continuity is shown to be sufficient for representability of a monotone preference order and easy to verify in concrete examples. Generalizing this result, we show that a condition, which restricts the extent of scalar discontinuity of a monotone preference order, ensures representability. We relate this condition to the well-known order dense property, which is both necessary and sufficient for representability
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e-pub ahead of print date: 17 August 2012
Published date: 2013
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Local EPrints ID: 443662
URI: http://eprints.soton.ac.uk/id/eprint/443662
ISSN: 0176-1714
PURE UUID: 61340a55-0747-4738-9641-a72e1b22c6cd
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Date deposited: 07 Sep 2020 16:32
Last modified: 17 Mar 2024 03:59
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Author:
Tapan Mitra
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