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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.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 49 (2013)
Issue (Month): 2 ()
Pages: 134-140

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Handle: RePEc:eee:mateco:v:49:y:2013:i:2:p:134-140

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Web page: http://www.elsevier.com/locate/jmateco

Related research

Keywords: Impatience condition; Weak Pareto; Sensitivity conditions; Genericity; Order types; Uncountable sets;

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  1. 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, 09.
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  6. Burness, H Stuart, 1976. "On the Role of Separability Assumptions in Determining Impatience Implications," Econometrica, Econometric Society, vol. 44(1), pages 67-78, January.
  7. 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.
  8. 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, 09.
  9. Stuart Burness, H., 1973. "Impatience and the preference for advancement in the timing of satisfactions," Journal of Economic Theory, Elsevier, vol. 6(5), pages 495-507, October.
  10. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July.
  11. Juan Crespo & Carmelo Nuñez & Juan Rincón-Zapatero, 2009. "On the impossibility of representing infinite utility streams," Economic Theory, Springer, vol. 40(1), pages 47-56, July.
  12. Sen, Amartya K, 1977. "On Weights and Measures: Informational Constraints in Social Welfare Analysis," Econometrica, Econometric Society, vol. 45(7), pages 1539-72, October.
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