Infinite-Horizon Choice Functions

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Infinite-Horizon Choice Functions

Author Info

ASHEIM, Geir B.
BOSSERT, Walter
SPRUMONT, Yves

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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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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
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Handle: RePEc:mtl:montde:2006-08

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Paper
- Asheim, Geir B. & Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2006. "Infinite-horizon choice functions," Memorandum 17/2006, Oslo University, Department of Economics. [Downloadable!]

Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

This paper has been announced in the following NEP Reports:

NEP-ALL-2006-12-09 (All new papers)

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer, vol. 24(1), pages 221-230, 07. [Downloadable!] (restricted)
Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 127(1), pages 579-589, July. [Downloadable!] (restricted)
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. [Downloadable!]
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. [Downloadable!] (restricted)
Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2005. "Consistent Rationalizability," Economica, London School of Economics and Political Science, vol. 72(286), pages 185-200, 05. [Downloadable!] (restricted)
Other versions:
- Bossert, W. & Sprumont, Y. & Suzumura, K., 2002. "Consistent Rationalizability," Cahiers de recherche 12-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
- BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002. "Consistent Rationalizability," Cahiers de recherche 2002-12, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
Asheim, Geir B., 1991. "Unjust intergenerational allocations," Journal of Economic Theory, Elsevier, vol. 54(2), pages 350-371, August. [Downloadable!] (restricted)
Other versions:
- Asheim, G.B., 1989. "Unjust Intergenerational Allocations," Papers 09-89, Norwegian School of Economics and Business Administration-.
Asheim, Geir B. & Buchholz, Wolfgang & Tungodden, Bertil, 2001. "Justifying Sustainability," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 252-268, May. [Downloadable!] (restricted)
Other versions:
- Asheim,G.B. & Buchholz,W. & Tungodden,B., 1999. "Justifying sustainability," Memorandum 08/1999, Oslo University, Department of Economics. [Downloadable!]
- Asheim, G.B. & Buchholz, W. & Tungodden, B., 1999. "Justifying Sustainability," Papers 5/99, Norwegian School of Economics and Business Administration-.
William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER). [Downloadable!]

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