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Strategic Interactions in a One-Sector Growth Model

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Abstract
We study the effect of dynamic and investment externalities in a one-sector growth model. In our model, two agents interact strategically in the utilization of capital for consumption, savings, and investment in technical progress. We consider two types of investment choices: complements and substitutes. For each case, we derive the equilibrium and provide the corresponding stationary distribution. We then compare the equilibrium with the social planner’s solution.

Suggested Citation

  • Eric Fesselmeyer & Leonard J. Mirman & Marc Santugini, 2013. "Strategic Interactions in a One-Sector Growth Model," Cahiers de recherche 13-01, HEC Montréal, Institut d'économie appliquée, revised Feb 2015.
  • Handle: RePEc:iea:carech:1301
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    File URL: http://www.hec.ca/iea/cahiers/2013/iea1301_santuginim_v2.pdf
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    References listed on IDEAS

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    1. William A. Brock & Leonard J. Mirman, 2001. "Optimal Economic Growth And Uncertainty: The Discounted Case," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 1, pages 3-37, Edward Elgar Publishing.
    2. Koulovatianos, Christos & Mirman, Leonard J., 2007. "The effects of market structure on industry growth: Rivalrous non-excludable capital," Journal of Economic Theory, Elsevier, vol. 133(1), pages 199-218, March.
    3. Koulovatianos, Christos & Mirman, Leonard J. & Santugini, Marc, 2009. "Optimal growth and uncertainty: Learning," Journal of Economic Theory, Elsevier, vol. 144(1), pages 280-295, January.
    4. David Levhari & Leonard J. Mirman, 1980. "The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 322-334, Spring.
    5. Leonard J. Mirman & Marc Santugini, 2012. "Learning and Technology Progress in Dynamic Games," Cahiers de recherche 1217, CIRPEE.
    6. Mirman, Leonard J, 1972. "On the Existence of Steady State Measures for One Sector Growth Models with Uncertain Technology," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(2), pages 271-286, June.
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    Cited by:

    1. Edward C. Prescott & Kevin L. Reffett, 2016. "Preface: Special Issue on Dynamic Games in Macroeconomics," Dynamic Games and Applications, Springer, vol. 6(2), pages 157-160, June.

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    More about this item

    Keywords

    Capital accumulation; Dynamic game; Growth; Investment; Non-excludable capital;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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