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Complementarity, Substituability and Capital Accumulation


  • Figuieres, C.


The preemptive role of capital is analysed in a class of two-player symmetric capital accumulation differential games with reversible investment. It is proved that, in the medium run, the firm with better initial condition exploits its advantage when the game features feedback substituability. Indeed the feedback as well as the open loop Nash equilibria yield an overshooting with respect to the long run steady state for the capital stock of the advantaged firm.

Suggested Citation

  • Figuieres, C., 1998. "Complementarity, Substituability and Capital Accumulation," G.R.E.Q.A.M. 98a31, Universite Aix-Marseille III.
  • Handle: RePEc:fth:aixmeq:98a31

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    References listed on IDEAS

    1. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    2. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    3. David, Paul A, 1985. "Clio and the Economics of QWERTY," American Economic Review, American Economic Association, vol. 75(2), pages 332-337, May.
    4. Loewenstein, George & Thaler, Richard H, 1989. "Intertemporal Choice," Journal of Economic Perspectives, American Economic Association, vol. 3(4), pages 181-193, Fall.
    5. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    6. S. J. Liebowitz & Stephen E. Margolis, 1994. "Network Externality: An Uncommon Tragedy," Journal of Economic Perspectives, American Economic Association, vol. 8(2), pages 133-150, Spring.
    7. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    8. Brian Arthur, W. & Ermoliev, Yu. M. & Kaniovski, Yu. M., 1987. "Path-dependent processes and the emergence of macro-structure," European Journal of Operational Research, Elsevier, vol. 30(3), pages 294-303, June.
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    Cited by:

    1. Denis Claude & Charles Figuières & Mabel Tidball, 2012. "Regulation of Investments in Infrastructure: The Interplay between Strategic Behaviors and Initial Endowments," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(1), pages 35-66, February.
    2. Figuières, Charles & Gardères, Philippe & Rychen, Frédéric, 2002. "Infrastructures publiques et politiques de développement décentralisées," L'Actualité Economique, Société Canadienne de Science Economique, vol. 78(4), pages 539-570, Décembre.
    3. Changying Li & Jianhu Zhang, 2013. "Dynamic Games of R&D Competition in a Differentiated Duopoly," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 169(4), pages 660-679, December.

    More about this item



    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • L16 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Industrial Organization and Macroeconomics; Macroeconomic Industrial Structure


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