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Impatience implication of weakly Paretian orders: Existence and genericity

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  • Banerjee, Kuntal
  • Dubey, Ram Sewak

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.

Suggested Citation

  • Banerjee, Kuntal & Dubey, Ram Sewak, 2013. "Impatience implication of weakly Paretian orders: Existence and genericity," Journal of Mathematical Economics, Elsevier, vol. 49(2), pages 134-140.
  • Handle: RePEc:eee:mateco:v:49:y:2013:i:2:p:134-140
    DOI: 10.1016/j.jmateco.2012.12.003
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    References listed on IDEAS

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    3. 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.
    4. 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.
    5. Lauwers, Luc, 2010. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 32-37, January.
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    7. Ram Sewak Dubey & Tapan Mitra, 2011. "On equitable social welfare functions satisfying the Weak Pareto Axiom: A complete characterization," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(3), pages 231-250, September.
    8. Burness, H Stuart, 1976. "On the Role of Separability Assumptions in Determining Impatience Implications," Econometrica, Econometric Society, vol. 44(1), pages 67-78, January.
    9. 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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    Cited by:

    1. Jonsson, Adam & Voorneveld, Mark, 2018. "The limit of discounted utilitarianism," Theoretical Economics, Econometric Society, vol. 13(1), January.
    2. Alcantud, José Carlos R. & Dubey, Ram Sewak, 2014. "Ordering infinite utility streams: Efficiency, continuity, and no impatience," Mathematical Social Sciences, Elsevier, vol. 72(C), pages 33-40.

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