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On the representation of preference orders on sequence spaces

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  • Kuntal Banerjee

Abstract

A set of sufficient conditions for representability of preference orders on real sequence spaces is analyzed. In particular, monotonicity and continuity of the order is not assumed. Two applications are worked out to demonstrate how such a result might be useful. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:43:y:2014:i:2:p:497-506
    DOI: 10.1007/s00355-013-0783-6
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    References listed on IDEAS

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    1. Jaffray, Jean-Yves, 1975. "Existence of a Continuous Utility Function: An Elementary Proof," Econometrica, Econometric Society, vol. 43(5-6), pages 981-983, Sept.-Nov.
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    3. Efe A. Ok & Levent KoÚkesen, 2000. "Negatively interdependent preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(3), pages 533-558.
    4. Segal, Uzi & Sobel, Joel, 2002. "Min, Max, and Sum," Journal of Economic Theory, Elsevier, vol. 106(1), pages 126-150, September.
    5. William Neilson, 2006. "Axiomatic reference-dependence in behavior toward others and toward risk," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 681-692, August.
    6. Trout Rader, 1963. "The Existence of a Utility Function to Represent Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 229-232.
    7. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    8. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    9. 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.
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    Citations

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    Cited by:

    1. 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.
    2. Kuntal Banerjee, 2018. "On the Representability of a Class of Lexicographic Preferences," Economics Bulletin, AccessEcon, vol. 38(2), pages 1213-1218.
    3. 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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    More about this item

    Keywords

    Scalar continuity; Representation; Diagonal Pareto ; Inequity aversion; Positively interdependent preferences; C60; D01;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

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