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On representation of monotone preference orders in a sequence space

  • Tapan Mitra

    ()

  • M. Ozbek

    ()

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    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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    File URL: http://hdl.handle.net/10.1007/s00355-012-0693-z
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    Article provided by Springer in its journal Social Choice and Welfare.

    Volume (Year): 41 (2013)
    Issue (Month): 3 (September)
    Pages: 473-487

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    Handle: RePEc:spr:sochwe:v:41:y:2013:i:3:p:473-487
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    1. Mark Voorneveld & Jörgen Weibull, 2008. "Outer measure and utility," Working Papers hal-00354246, HAL.
    2. Peleg, Bezalel, 1970. "Utility Functions for Partially Ordered Topological Spaces," Econometrica, Econometric Society, vol. 38(1), pages 93-96, January.
    3. Asheim, Geir B. & Mitra, Tapan & Tungodden, Bertil, 2006. "Sustainable recursive social welfare functions," Memorandum 18/2006, Oslo University, Department of Economics.
    4. Luc LAUWERS, 2009. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Center for Economic Studies - Discussion papers ces09.05, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
    5. Basu, Kaushik & Mitra, Tapan, 2003. "Aggregating Infinite Utility Streams with Inter-generational Equity: The Impossibility of Being Paretian," Working Papers 03-03, Cornell University, Center for Analytic Economics.
    6. Mitra, Tapan & Ozbek, Mahmut Kemal, 2010. "On Representation and Weighted Utilitarian Representation of Preference Orders on Finite Utility Streams," Working Papers 10-05, Cornell University, Center for Analytic Economics.
    7. Beardon, Alan F. & Candeal, Juan C. & Herden, Gerhard & Indurain, Esteban & Mehta, Ghanshyam B., 2002. "The non-existence of a utility function and the structure of non-representable preference relations," Journal of Mathematical Economics, Elsevier, vol. 37(1), pages 17-38, February.
    8. Hara, Chiaki & Shinotsuka, Tomoichi & Suzumura, Kotaro & Xu, Yongsheng, 2007. "On the Possibility of Continuous, Paretian and Egalitarian Evaluation of Infinite Utility Streams," Discussion Paper 322, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    9. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July.
    10. Zame, William R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, vol. 2(2), June.
    11. Beardon, Alan F & Mehta, Ghanshyam B, 1994. "The Utility Theorems of Wold, Debreu, and Arrow-Hahn," Econometrica, Econometric Society, vol. 62(1), pages 181-86, January.
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