On representation of monotone preference orders in a sequence space |
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Authors: | Tapan Mitra M Kemal Ozbek |
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Institution: | 1. Department of Economics, Cornell University, Ithaca, NY, 14853, USA
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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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