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Infinite-Horizon Choice Functions

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  • ASHEIM, Geir B.
  • BOSSERT, Walter
  • SPRUMONT, Yves

Abstract

We analyze infinite-horizon choice functions within the setting of a simple linear technology. Time consistency and efficiency are characterized by stationary consumption and inheritance functions, as well as a transversality condition. In addition, we consider the equity axioms Suppes-Sen, Pigou-Dalton, and resource monotonicity. We show that Suppes-Sen and Pigou-Dalton imply that the consumption and inheritance functions are monotone with respect to time—thus justifying sustainability—while resource monotonicity implies that the consumption and inheritance functions are monotone with respect to the resource. Examples illustrate the characterization results.

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Bibliographic Info

Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2006-08.

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Length: 21 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:mtl:montde:2006-08

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Keywords: Intergenerational resource allocation; infinite-horizon choice;

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References

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  1. BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002. "Consistent Rationalizability," Cahiers de recherche 2002-12, Universite de Montreal, Departement de sciences economiques.
  2. BOSSERT, Walter & SUZUMURA, Kotaro, 2006. "A Characterization of Consistent Collective Choice Rules," Cahiers de recherche 2006-12, Universite de Montreal, Departement de sciences economiques.
  3. Asheim, Geir B. & Buchholz, Wolfgang & Tungodden, Bertil, 2001. "Justifying Sustainability," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 252-268, May.
  4. 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.
  5. William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).
  6. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
  7. Basu, Kaushik & Mitra, Tapan, 2007. "Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 350-373, March.
  8. Cass, D & Yaari, M E, 1971. "Present Values Playing the Role of Efficiency Prices in the One-Good Growth Model," Review of Economic Studies, Wiley Blackwell, vol. 38(115), pages 331-39, July.
  9. Asheim, G.B., 1989. "Unjust Intergenerational Allocations," Papers 09-89, Norwegian School of Economics and Business Administration-.
  10. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer, vol. 24(1), pages 221-230, 07.
  11. Chiaki Hara & Tomoichi Shinotsuka & Kotaro Suzumura & Yongsheng Xu, 2008. "Continuity and egalitarianism in the evaluation of infinite utility streams," Social Choice and Welfare, Springer, vol. 31(2), pages 179-191, August.
  12. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
  13. Asheim, Geir B. & Tungodden, Bertil, 2005. "A new equity condition for infinite utility streams and the possibility of being Paretian," Memorandum 08/2005, Oslo University, Department of Economics.
  14. Mitra, Tapan, 1979. "On the Value Maximizing Property of Infinite Horizon Efficient Programs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(3), pages 635-42, October.
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Cited by:
  1. Alcantud, José Carlos R. & García-Sanz, María D., 2010. "Evaluations of infinite utility streams: Pareto-efficient and egalitarian axiomatics," MPRA Paper 20133, University Library of Munich, Germany.
  2. Ram Dubey & Tapan Mitra, 2013. "On the nature of Suppes–Sen maximal paths in an aggregative growth model," Social Choice and Welfare, Springer, vol. 40(1), pages 173-205, January.
  3. José Alcantud, 2009. "Conditional ordering extensions," Economic Theory, Springer, vol. 39(3), pages 495-503, June.

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