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On optimality, endogenous discounting and wealth accumulation

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Author Info
SCHUMACHER, Ingmar

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Abstract

We endogenize the discount rate via a broad measure of wealth and provide empirical evidence that wealth affects the discount rate negatively. We demonstrate that the Pontryagin conditions require positive felicity for intuitive results, whereasthe concavity of the Hamiltonian requires negative felicity for optimality. This dilemma also holds for the endogenizations of Obstfeld (1990) and followers. We solve the model with positive felicity and resolve when optimality is possible. We discussthe impact on technological change, savings and convergence which are more in line with empirics. Finally, we discuss time consistency of a planner who cannot predict his preferences.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2006103.

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Date of creation: 01 Nov 2006
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Handle: RePEc:cor:louvco:2006103

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Related research
Keywords: endogenous time preference; stability; optimal growth; recursive utility;

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Find related papers by JEL classification:
D90 - Microeconomics - - Intertemporal Choice and Growth - - - General
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
O41 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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