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On representation of monotone preference orders in a sequence space

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  • Tapan Mitra
  • M. Ozbek

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

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  • Tapan Mitra & M. Ozbek, 2013. "On representation of monotone preference orders in a sequence space," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 473-487, September.
    • Handle: RePEc:spr:sochwe:v:41:y:2013:i:3:p:473-487
    DOI: 10.1007/s00355-012-0693-z
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    References listed on IDEAS

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    1. Kaushik Basu & Tapan Mitra, 2003. "Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian," Econometrica, Econometric Society, vol. 71(5), pages 1557-1563, September.
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    4. Geir B. Asheim & Tapan Mitra & Bertil Tungodden, 2016. "Sustainable Recursive Social Welfare Functions," Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 165-190, Springer.
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    9. Peleg, Bezalel, 1970. "Utility Functions for Partially Ordered Topological Spaces," Econometrica, Econometric Society, vol. 38(1), pages 93-96, January.
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    Cited by:

    1. Geir B. Asheim & Kuntal Banerjee & Tapan Mitra, 2021. "How stationarity contradicts intergenerational equity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 423-444, September.
    2. Neyman, Abraham, 2023. "Additive valuations of streams of payoffs that satisfy the time value of money principle: characterization and robust optimization," Theoretical Economics, Econometric Society, vol. 18(1), January.
    3. Uyanik, Metin & Khan, M. Ali, 2022. "The continuity postulate in economic theory: A deconstruction and an integration," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    4. Mabrouk, Mohamed, 2018. "On the Extension and Decomposition of a Preorder under Translation Invariance," MPRA Paper 90537, University Library of Munich, Germany.
    5. Tapan Mitra & Kemal Ozbek, 2021. "Ranking by weighted sum," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 511-532, September.
    6. Toyotaka Sakai, 2016. "Limit representations of intergenerational equity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 481-500, August.
    7. Kuntal Banerjee, 2014. "On the representation of preference orders on sequence spaces," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 497-506, August.
    8. Banerjee, Kuntal & Mitra, Tapan, 2018. "On Wold’s approach to representation of preferences," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 65-74.

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