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Allais-anonymity as an alternative to the discounted-sum criterion in the calculus of optimal growth I: Consensual optimality

  • Mabrouk, Mohamed

The objective of this work is to try to define and calculate the optimal growth path, in the presence of exogenous technical change, without resorting to the discounted-sum criterion. The solution suggested is to consider an optimality criterion expressing an Allais-anonymous intergenerational consensus. The partial characterization of consensual optimality was made possible thanks to the decomposition of the dual of the space of sub-geometric sequences of reason p. The main finding is a relation between the marginal rate of substitution between bequest and heritage, and the growth rate, relation which is a necessary condition for consensual optimality. The necessary study of the Pareto-optimality of the consensual optimum is the subject of a forthcoming paper "Allais-anonymity as an alternative to the discounted-sum criterion in the calculus of optimal growth II: Pareto optimality and some economic interpretations".

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 10512.

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Date of creation: 07 Apr 2006
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Handle: RePEc:pra:mprapa:10512
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  1. Gollier, Christian, 2002. "Time Horizon and the Discount Rate," Journal of Economic Theory, Elsevier, vol. 107(2), pages 463-473, December.
  2. Asheim,G.B. & Buchholz,W. & Tungodden,B., 1999. "Justifying sustainability," Memorandum 08/1999, Oslo University, Department of Economics.
  3. Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2002. "Arrovian Aggregation in Economic Environments: How Much Should We Know About Indifference Surfaces?," Discussion Papers 2002-10, Graduate School of Economics, Hitotsubashi University.
  4. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
  5. Heijdra, Ben J., 2009. "Foundations of Modern Macroeconomics," OUP Catalogue, Oxford University Press, edition 2, number 9780199210695, March.
  6. R. M. Solow, 1973. "Intergenerational Equity and Exhaustable Resources," Working papers 103, Massachusetts Institute of Technology (MIT), Department of Economics.
  7. M. Fleurbaey & P. Michel, 1997. "Intertemporal equity and the extension of the Ramsey criterion," THEMA Working Papers 97-11, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  8. Graciela Chichilnisky, 1996. "An axiomatic approach to sustainable development," Social Choice and Welfare, Springer, vol. 13(2), pages 231-257, April.
  9. repec:ebl:ecbull:v:4:y:2003:i:26:p:1-5 is not listed on IDEAS
  10. BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2004. "The Possibility of Ordering Infinite Utility Streams," Cahiers de recherche 2004-09, Universite de Montreal, Departement de sciences economiques.
  11. Lauwers, Luc, 2000. "Topological social choice," Mathematical Social Sciences, Elsevier, vol. 40(1), pages 1-39, July.
  12. Geir B. Asheim & Wolfgang Buchholz, 2000. "The Malleability of Undiscounted Utilitarianism as a Criterion of Intergenerational Justice," CESifo Working Paper Series 392, CESifo Group Munich.
  13. Chichilnisky, Graciela & Beltratti, Andrea & Heal, Geoffrey, 1994. "The environment and the long run: A comparison of different criteria," MPRA Paper 7907, University Library of Munich, Germany.
  14. Gollier, Christian, 2004. "Maximizing the expected net future value as an alternative strategy to gamma discounting," Finance Research Letters, Elsevier, vol. 1(2), pages 85-89, June.
  15. Basu, Kaushik & Mitra, Tapan, 2005. "On the Existence of Paretian Social Welfare Relations for Infinite Utility Streams with Extended Anonymity," Working Papers 05-06, Cornell University, Center for Analytic Economics.
  16. Asheim, Geir B. & Mitra, Tapan & Tungodden, Bertil, 2006. "Sustainable recursive social welfare functions," Memorandum 18/2006, Oslo University, Department of Economics.
  17. Asheim, G.B., 1989. "Unjust Intergenerational Allocations," Papers 09-89, Norwegian School of Economics and Business Administration-.
  18. Mohamed Mabrouk, 2005. "Optimal growth path in an OLG economy without time-preference assumptions (full text)," GE, Growth, Math methods 0510006, EconWPA.
  19. H. Reiju Mihara, 1997. "Arrow's Theorem, countably many agents, and more visible invisible dictators," Public Economics 9705001, EconWPA, revised 07 May 1997.
  20. MICHEL, Philippe, 1990. "Criticism of the social time-preference hypothesis in optimal growth," CORE Discussion Papers 1990039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  21. Schelling, Thomas C, 1995. "Intergenerational discounting," Energy Policy, Elsevier, vol. 23(4-5), pages 395-401.
  22. Boud, John III, 1990. "Recursive utility and the Ramsey problem," Journal of Economic Theory, Elsevier, vol. 50(2), pages 326-345, April.
  23. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
  24. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2005. "Intertemporal Social Evaluation," Cahiers de recherche 06-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  25. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January.
  26. Toyotaka Sakai, 2003. "Intergenerational preferences and sensitivity to the present," Economics Bulletin, AccessEcon, vol. 4(26), pages 1-5.
  27. Mihara, H. Reiju, 1999. "Arrow's theorem, countably many agents, and more visible invisible dictators1," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 267-287, November.
  28. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
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