TY - JOUR
T1 - On representation of monotone preference orders in a sequence space
AU - Mitra, Tapan
AU - Ozbek, Kemal
PY - 2013/9
Y1 - 2013/9
N2 - 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.
AB - 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.
UR - http://dx.doi.org/10.1007/s00355-012-0693-z
U2 - 10.1007/s00355-012-0693-z
DO - 10.1007/s00355-012-0693-z
M3 - Article
SN - 0176-1714
VL - 41
SP - 473
EP - 487
JO - Social Choice and Welfare
JF - Social Choice and Welfare
IS - 3
ER -