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Comparative dynamics in a productive asset oligopoly

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  • Benchekroun, Hassan

Abstract

We build a subgame perfect Nash equilibrium of a common property productive asset oligopoly. We derive two surprising results. First, the steady state level of asset can be a decreasing function of the asset’s implicit growth rate. This phenomenon arises when the initial stock of asset is below a certain threshold. It represents a double curse for a common property productive asset where the well-known tragedy of the commons due to a lack of property rights is exacerbated by an increase in the productivity of the asset. Second, we show that a reduction in the number of firms exploiting the asset can, in the short run, result in an increase of the industry’s exploitation and a decrease of the level of the asset’s stock.
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  • Benchekroun, Hassan, 2008. "Comparative dynamics in a productive asset oligopoly," Journal of Economic Theory, Elsevier, vol. 138(1), pages 237-261, January.
  • Handle: RePEc:eee:jetheo:v:138:y:2008:i:1:p:237-261
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    9. Benchekroun, Hassan, 2003. "Unilateral production restrictions in a dynamic duopoly," Journal of Economic Theory, Elsevier, vol. 111(2), pages 214-239, August.
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    Cited by:

    1. Lambertini, Luca & Mantovani, Andrea, 2014. "Feedback equilibria in a dynamic renewable resource oligopoly: Pre-emption, voracity and exhaustion," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 115-122.
    2. Benchekroun, Hassan & Long, Ngo Van, 2016. "Status concern and the exploitation of common pool renewable resources," Ecological Economics, Elsevier, pages 70-82.
    3. Fujiwara, Kenji, 2008. "Duopoly can be more anti-competitive than monopoly," Economics Letters, Elsevier, vol. 101(3), pages 217-219, December.
    4. Fujiwara, Kenji, 2011. "Losses from competition in a dynamic game model of a renewable resource oligopoly," Resource and Energy Economics, Elsevier, vol. 33(1), pages 1-11, January.
    5. repec:eee:jeborg:v:140:y:2017:i:c:p:91-119 is not listed on IDEAS
    6. L. Lambertini, 2017. "Regulating the tragedy of commons: nonlinear feedback solutions of a differential game with a dual interpretation," Working Papers wp1096, Dipartimento Scienze Economiche, Universita' di Bologna.
    7. Tasneem, Dina & Engle-Warnick, Jim & Benchekroun, Hassan, 2017. "An experimental study of a common property renewable resource game in continuous time," Journal of Economic Behavior & Organization, Elsevier, pages 91-119.
    8. Colombo, Luca & Labrecciosa, Paola, 2015. "On the Markovian efficiency of Bertrand and Cournot equilibria," Journal of Economic Theory, Elsevier, vol. 155(C), pages 332-358.
    9. Lambertini, Luca & Mantovani, Andrea, 2016. "On the (in)stability of nonlinear feedback solutions in a dynamic duopoly with renewable resource exploitation," Economics Letters, Elsevier, pages 9-12.
    10. L. Lambertini & G. Leitmann, 2017. "On the attainment of the maximum sustainable yield in the Verhulst-Lotka-Volterra model," Working Papers wp1112, Dipartimento Scienze Economiche, Universita' di Bologna.
    11. Benchekroun, Hassan & Gaudet, Gérard, 2015. "On the effects of mergers on equilibrium outcomes in a common property renewable asset oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 209-223.
    12. Colombo, Luca & Labrecciosa, Paola, 2013. "On the convergence to the Cournot equilibrium in a productive asset oligopoly," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 441-445.
    13. repec:spr:decfin:v:40:y:2017:i:1:d:10.1007_s10203-017-0189-5 is not listed on IDEAS
    14. Wei-Bin Zhang, 2017. "Growth with Endogenous Capital, Knowledge, and Renewable Resources," Romanian Statistical Review, Romanian Statistical Review, vol. 65(1), pages 19-37, March.
    15. Ngo Long, 2015. "Dynamic Games Between Firms and Infinitely Lived Consumers: A Review of the Literature," Dynamic Games and Applications, Springer, vol. 5(4), pages 467-492, December.
    16. Engwerda, Jacob, 2017. "Stabilization of an Uncertain Simple Fishery Management Game," Discussion Paper 2017-031, Tilburg University, Center for Economic Research.
    17. Colombo, Luca & Labrecciosa, Paola, 2013. "Oligopoly exploitation of a private property productive asset," Journal of Economic Dynamics and Control, Elsevier, vol. 37(4), pages 838-853.
    18. L. Lambertini, 2015. "Managerial delegation in a dynamic renewable resource oligopoly," Working Papers wp990, Dipartimento Scienze Economiche, Universita' di Bologna.
    19. Ngo Long, 2011. "Dynamic Games in the Economics of Natural Resources: A Survey," Dynamic Games and Applications, Springer, vol. 1(1), pages 115-148, March.

    More about this item

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • Q34 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Natural Resources and Domestic and International Conflicts
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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