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Off-line computation of Stackelberg solutions with the genetic algorithm

Author

Listed:
  • Thomas Vallée

    (LEN - Laboratoire d'économie de Nantes - IEMN-IAE Nantes - Institut d'Économie et de Management de Nantes - Institut d'Administration des Entreprises - Nantes - UN - Université de Nantes)

  • Tamer Başar

    (UIUC - University of Illinois at Urbana-Champaign [Urbana] - University of Illinois System)

Abstract

The paper studies off-line computation of the Stackelberg solution in a repeated game framework, utilizing the Genetic Algorithm. Simulations are conducted with a numerical linear quadratic example and a Fish War game example. Furthermore, it is shown that an evolutionary mutation probability is preferable to a fixed one as usually assumed.

Suggested Citation

  • Thomas Vallée & Tamer Başar, 1999. "Off-line computation of Stackelberg solutions with the genetic algorithm," Post-Print hal-03193665, HAL.
  • Handle: RePEc:hal:journl:hal-03193665
    DOI: 10.1023/A:1008652106422
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    Cited by:

    1. Vallée, Thomas & YIldIzoglu, Murat, 2009. "Convergence in the finite Cournot oligopoly with social and individual learning," Journal of Economic Behavior & Organization, Elsevier, vol. 72(2), pages 670-690, November.
    2. Graupner, Marten, 2011. "The Spatial Agent-based Competition Model (SpAbCoM) [Das räumliche agenten-basierte Wettbewerbsmodell SpAbCoM]," IAMO Discussion Papers 135, Leibniz Institute of Agricultural Development in Transition Economies (IAMO).
    3. Tharakunnel, Kurian & Bhattacharyya, Siddhartha, 2009. "Single-leader-multiple-follower games with boundedly rational agents," Journal of Economic Dynamics and Control, Elsevier, vol. 33(8), pages 1593-1603, August.
    4. Nunez-Letamendia, Laura, 2007. "Fitting the control parameters of a genetic algorithm: An application to technical trading systems design," European Journal of Operational Research, Elsevier, vol. 179(3), pages 847-868, June.
    5. Alemdar, Nedim M. & Sirakaya, Sibel, 2003. "On-line computation of Stackelberg equilibria with synchronous parallel genetic algorithms," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1503-1515, June.

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