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On optimality, endogenous discounting and wealth accumulation

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  • SCHUMACHER, Ingmar

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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  • SCHUMACHER, Ingmar, 2006. "On optimality, endogenous discounting and wealth accumulation," LIDAM Discussion Papers CORE 2006103, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2006103
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    Cited by:

    1. Schumacher, Ingmar, 2009. "Endogenous discounting via wealth, twin-peaks and the role of technology," Economics Letters, Elsevier, vol. 103(2), pages 78-80, May.
    2. Borissov, Kirill, 2013. "Growth and distribution in a model with endogenous time preferences and borrowing constraints," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 117-128.

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    More about this item

    Keywords

    endogenous time preference; stability; optimal growth; recursive utility;
    All these keywords.

    JEL classification:

    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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