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On optimality, endogeneous discounting and wealth accumulation

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  • Ingmar, SCHUMACHER

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Department of Economics)

Abstract

We endogenize the discount rate via a broad measure of wealth and provide empirical evidence that wealth the discount rate negatively. We demonstrate that the Pontryagin conditions require positive felicity for intuitive results, whereas the concavity of the Hamiltonian requires negative felicity for optimality. This dilemna also holds for the endogenizations of Obstfeld (1990) and followers. We solve the model with positive felicity and resolve when optimality is possible. We discuss the 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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Bibliographic Info

Paper provided by Université catholique de Louvain, Département des Sciences Economiques in its series Discussion Papers (ECON - Département des Sciences Economiques) with number 2006058.

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Length: 29
Date of creation: 01 Nov 2006
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Handle: RePEc:ctl:louvec:2006058

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Keywords: Endogenous time preference; Stability; Optimal growth; Recursive utility;

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Cited by:
  1. SCHUMACHER, Ingmar, 2006. "Endogenous discounting via wealth, twin-peaks and the role of technology," CORE Discussion Papers 2006104, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Kirill Borissov, 2011. "Growth and Distribution in a Model with Endogenous Time Peferences and Borrowing Constraints," DEGIT Conference Papers c016_073, DEGIT, Dynamics, Economic Growth, and International Trade.

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