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Infinite-horizon choice functions

  • Asheim, Geir B.
  • Bossert, Walter
  • Sprumont, Yves
  • Suzumura, Kotaro

We analyze infinite-horizon choice functions within the setting of a simple technology. Efficiency and time consistency 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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Paper provided by Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University in its series PIE/CIS Discussion Paper with number 379.

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Length: 23 p.
Date of creation: Jun 2008
Date of revision:
Handle: RePEc:hit:piecis:379
Note: This version: January 23, 2008, An earlier version of the paper was presented at Seoul National University, Victoria University of Wellington, the University of Auckland, the 2005 polarization and conflict conference in Milan, the 2006 workshop on intergenerational resource allocation in Montr饌l and the University of New South Wales.
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  1. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
  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. Basu, Kaushik & Mitra, Tapan, 2003. "Utilitarianism for Infinite Utility Streams: A New Welfare Criterion and Its Axiomatic Characterization," Working Papers 03-05, Cornell University, Center for Analytic Economics.
  4. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002. "Consistent Rationalizability," Discussion Paper 82, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  5. 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.
  6. Asheim, Geir B., 1991. "Unjust intergenerational allocations," Journal of Economic Theory, Elsevier, vol. 54(2), pages 350-371, August.
  7. Asheim,G.B. & Buchholz,W. & Tungodden,B., 1999. "Justifying sustainability," Memorandum 08/1999, Oslo University, Department of Economics.
  8. Basu, Kaushik & Mitra, Tapan, 2003. "Aggregating Infinite Utility Streams with Inter-generational Equity: The Impossibility of Being Paretian," Working Papers 03-03, Cornell University, Center for Analytic Economics.
  9. 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.
  10. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
  11. William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).
  12. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer, vol. 24(1), pages 221-230, 07.
  13. 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.
  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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