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Undiscounted optimal growth in the two-sector Robinson-Solow-Srinivasan model: a synthesis of the value-loss approach and dynamic programming

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  • M. Khan
  • Tapan Mitra

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  • M. Khan & Tapan Mitra, 2006. "Undiscounted optimal growth in the two-sector Robinson-Solow-Srinivasan model: a synthesis of the value-loss approach and dynamic programming," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 341-362, October.
    • Handle: RePEc:spr:joecth:v:29:y:2006:i:2:p:341-362
    DOI: 10.1007/s00199-005-0023-0
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    1. Mukul Majumdar & Manfred Nermuth, 1982. "Dynamic Optimization in Non-Convex Models with Irreversible Investment: Monotonicity and Turnpike Results (Now published in Zeitschrift für National-Ökonomie (Journal of National Economics), vol.42, N," STICERD - Theoretical Economics Paper Series 40, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    2. Nishimura, Kazuo & Yano, Makoto, 1995. "Durable capital and chaos in competitive business cycles," Journal of Economic Behavior & Organization, Elsevier, vol. 27(2), pages 165-181, July.
    3. W. A. Brock, 1970. "On Existence of Weakly Maximal Programmes in a Multi-Sector Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(2), pages 275-280.
    4. M. Ali Khan & Tapan Mitra, 2007. "Optimal Growth In A Two‐Sector Rss Model Without Discounting: A Geometric Investigation," The Japanese Economic Review, Japanese Economic Association, vol. 58(2), pages 191-225, June.
    5. Lionel W. McKenzie, 2005. "Classical General Equilibrium Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633302, December.
    6. W. Davis Dechert & Kazuo Nishimura, 2012. "A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257, Springer.
    7. Hirofumi Uzawa, 1964. "Optimal Growth in a Two-Sector Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(1), pages 1-24.
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    Cited by:

    1. Fujio, Minako & Lei, Yan & Deng, Liuchun & Khan, M. Ali, 2021. "The miniature two-sector model of optimal growth: The neglected case of a capital-intensive investment-good sector," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 662-671.
    2. Minako Fujio, 2009. "Optimal Transition Dynamics In The Leontief Two‐Sector Growth Model With Durable Capital: The Case Of Capital Intensive Consumption Goods," The Japanese Economic Review, Japanese Economic Association, vol. 60(4), pages 490-511, December.
    3. Ali Khan, M. & Mitra, Tapan, 2008. "Growth in the Robinson-Solow-Srinivasan model: Undiscounted optimal policy with a strictly concave welfare function," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 707-732, July.
    4. Liuchun Deng & Minako Fujio & M. Ali Khan, 2021. "Eventual periodicity in the two-sector RSL model: equilibrium vis-à-vis optimum growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 615-639, September.
    5. A. J. Zaslavski, 2010. "Stability of a Turnpike Phenomenon for a Discrete-Time Optimal Control System," Journal of Optimization Theory and Applications, Springer, vol. 145(3), pages 597-612, June.

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    More about this item

    Keywords

    Undiscounted optimal program; Full-employment program; Golden rule; Value loss; Dynamic programming; Optimal policy function; Transition dynamics; C62; D90; O21;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • O21 - Economic Development, Innovation, Technological Change, and Growth - - Development Planning and Policy - - - Planning Models; Planning Policy

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