On representation of monotone preference orders in a sequence space

Tapan Mitra and Kemal Ozbek

Social Choice and Welfare, 2013, vol. 41, issue 3, 473-487

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. Copyright Springer-Verlag 2013

Date: 2013
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DOI: 10.1007/s00355-012-0693-z

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