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Optimal growth path in an OLG economy without time-preference assumptions (full text)

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Author Info
Mohamed Mabrouk (Ecole Supérieure de Statistique et d'Analyse de l'Information de Tunis)

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Abstract

The aim is to characterize optimal growth paths in an OLG economy where capital accumulation is achieved through bequests, without using the assumption of time preference theory on a social level, because such an assumption, that leads to use a discounted infinite horizon sum, introduce necessarily inequality between the different generations of the society. I investigated two optimality concepts: Pareto-optimality and consensual optimality. I considered the case without technical change. I found that all steady-state optimal growth paths converge necessarily to a level of capital where the marginal gain from a decrease of bequest is equal to the marginal loss from a similar decrease of heritage. With the use of an intergenerational altruistic utility, I showed that spontaneous equilibrium cannot be an optimal growth path unless generations feel (asymptotically) for their heirs as they feel for themselves.

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Publisher Info
Paper provided by EconWPA in its series GE, Growth, Math methods with number 0510006.

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Length: 46 pages
Date of creation: 18 Oct 2005
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Handle: RePEc:wpa:wuwpge:0510006

Note: Type of Document - pdf; pages: 46. This paper gives the detailed proofs of 'Optimal growth path in an OLG economy without time- preference assumptions: main results'
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Web page: http://129.3.20.41

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Related research
Keywords: optimal growth; time-preference; egalitarianism; Pareto- optimality; golden-rule; OLG economy;

Find related papers by JEL classification:
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
D5 - Microeconomics - - General Equilibrium and Disequilibrium
D9 - Microeconomics - - Intertemporal Choice and Growth

This paper has been announced in the following NEP Reports:

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  1. Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth II: Pareto optimality and some economic interpretations," GE, Growth, Math methods 0511007, EconWPA. [Downloadable!]
  2. Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth I: Consensual optimality," GE, Growth, Math methods 0510013, EconWPA. [Downloadable!]
  3. Mabrouk, Mohamed, 2006. "Allais-anonymity as an alternative to the discounted-sum criterion in the calculus of optimal growth I: Consensual optimality," MPRA Paper 10512, University Library of Munich, Germany. [Downloadable!]
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