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Impatience for Weakly Paretian Orders: Existence and Genericity

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Abstract

We study order theoretic and topological implications for impatience of weakly Paretian, representable orders on infinite utility streams. As a departure from the traditional literature, we do not make any continuity assumptions in proving the existence of impatient points. Impatience is robust in the sense that there are uncountably many impatient points. A general statement about genericity of impatience cannot be made for representable, weakly Paretian orders. This is shown by means of an example. If we assume a stronger sensitivity condition, then genericity obtains.

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  • Banerjee, Kuntal & Dubey, Ram, 2011. "Impatience for Weakly Paretian Orders: Existence and Genericity," Working Papers 2011-03, Department of Economics, Colgate University.
    • Handle: RePEc:cgt:wpaper:2011-03
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    File URL: https://digitalcollections.colgate.edu/islandora/object/islandora%253A4697
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    1. Brown, Donald J & Lewis, Lucinda M, 1981. "Myopic Economic Agents," Econometrica, Econometric Society, vol. 49(2), pages 359-368, March.
    2. Banerjee, Kuntal & Mitra, Tapan, 2007. "On the impatience implications of Paretian social welfare functions," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 236-248, April.
    3. , & , A., 2007. "Delay aversion," Theoretical Economics, Econometric Society, vol. 2(1), pages 71-113, March.
    4. Juan Crespo & Carmelo Nuñez & Juan Rincón-Zapatero, 2009. "On the impossibility of representing infinite utility streams," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 47-56, July.
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    6. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
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    Cited by:

    1. Jonsson, Adam & Voorneveld, Mark, 2018. "The limit of discounted utilitarianism," Theoretical Economics, Econometric Society, vol. 13(1), January.

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    More about this item

    Keywords

    Impatience Condition; Weak Pareto; Sensitivity Conditions; Genericity; Order Types; Uncountable Sets;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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