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Strategic Interactions in a One-Sector Growth Model

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  • Eric Fesselmeyer
  • Leonard J. Mirman
  • Marc Santugini

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 1318, CIRPEE.
  • Handle: RePEc:lvl:lacicr:1318
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    References listed on IDEAS

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    1. Datta, Manjira & Mirman, Leonard J, 2000. "Dynamic Externalities and Policy Coordination," Review of International Economics, Wiley Blackwell, vol. 8(1), pages 44-59, February.
    2. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 70(1), pages 65-94.
    3. Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2008. "A qualitative approach to Markovian equilibrium in infinite horizon economies with capital," Journal of Economic Theory, Elsevier, vol. 139(1), pages 75-98, March.
    4. Datta, Manjira & Mirman, Leonard J., 1999. "Externalities, Market Power, and Resource Extraction," Journal of Environmental Economics and Management, Elsevier, vol. 37(3), pages 233-255, May.
    5. Fischer, Ronald D. & Mirman, Leonard J., 1992. "Strategic dynamic interaction : Fish wars," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 267-287, April.
    6. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," Review of Economic Studies, Oxford University Press, vol. 32(3), pages 233-240.
    7. Fischer, Ronald D. & Mirman, Leonard J., 1996. "The Compleat Fish Wars: Biological and Dynamic Interactions," Journal of Environmental Economics and Management, Elsevier, vol. 30(1), pages 34-42, January.
    8. Amir, Rabah & Mirman, Leonard J & Perkins, William R, 1991. "One-Sector Nonclassical Optimal Growth: Optimality Conditions and Comparative Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 625-644, August.
    9. Brock, William A. & Mirman, Leonard J., 1972. "Optimal economic growth and uncertainty: The discounted case," Journal of Economic Theory, Elsevier, vol. 4(3), pages 479-513, June.
    10. 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.
    11. Mirman, Leonard J. & Zilcha, Itzhak, 1975. "On optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 11(3), pages 329-339, December.
    12. 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.
    13. Mirman, Leonard J., 1973. "The steady state behavior of a class of one sector growth models with uncertain technology," Journal of Economic Theory, Elsevier, vol. 6(3), pages 219-242, June.
    14. 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.
    15. Leonard Mirman & Marc Santugini, 2014. "Learning and Technological Progress in Dynamic Games," Dynamic Games and Applications, Springer, vol. 4(1), pages 58-72, March.
    16. Leonard J. Mirman & Marc Santugini, 2012. "Learning and Technology Progress in Dynamic Games," Cahiers de recherche 1217, CIRPEE.
    17. 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.

    More about this item

    Keywords

    Capital accumulation; dynamic game; growth; investment; technical progress;

    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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