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Experimental Design Problems and Nash Equilibrium Solutions

In: Network Models in Economics and Finance

Author

Listed:
  • Egidio D’Amato

    (University of Naples Federico II)

  • Elia Daniele

    (University of Naples Federico II)

  • Lina Mallozzi

    (University of Naples Federico II)

Abstract

In this paper we present a non-cooperative game theoretical model for the well-known problem of experimental design. Nash equilibrium solutions of a suitable game will be the optimal values of the design variables, given by the coordinates of points in a region in the spirit of the facility location model. Because of the dependency of the objective functions on the distance from the domain’s boundary, this problem has a strong analogy with the classical sphere packing problem. Theoretical and computational results are presented for this location problem by virtue of a genetic algorithm procedure for both two- and three-dimensional test cases.

Suggested Citation

  • Egidio D’Amato & Elia Daniele & Lina Mallozzi, 2014. "Experimental Design Problems and Nash Equilibrium Solutions," Springer Optimization and Its Applications, in: Valery A. Kalyagin & Panos M. Pardalos & Themistocles M. Rassias (ed.), Network Models in Economics and Finance, edition 127, pages 1-12, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-09683-4_1
    DOI: 10.1007/978-3-319-09683-4_1
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