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Vector Games with Potential Function

Author

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  • Lucia Pusillo

    (DIMA-Department of Mathematics, University of Genova, via Dodecaneso 35, 16146 Genova, Italy)

Abstract

The theory of non cooperative games with potential function was introduced by Monderer and Shapley in 1996. Such games have interesting properties, among which is the existence of equilibria in pure strategies. The paper by Monderer and Shapley has inspired many game theory researchers. In the present paper, many classes of multiobjective games with potential functions are studied. The notions of generalized, best-reply and Pareto potential games are introduced in a multicriteria setting. Some properties and Pareto equilibria are investigated.

Suggested Citation

  • Lucia Pusillo, 2017. "Vector Games with Potential Function," Games, MDPI, vol. 8(4), pages 1-11, September.
    • Handle: RePEc:gam:jgames:v:8:y:2017:i:4:p:40-:d:112619
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    References listed on IDEAS

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    6. Jacqueline Morgan, 2005. "Approximations and Well-Posedness in Multicriteria Games," Annals of Operations Research, Springer, vol. 137(1), pages 257-268, July.
    7. Simone Sagratella, 2017. "Algorithms for generalized potential games with mixed-integer variables," Computational Optimization and Applications, Springer, vol. 68(3), pages 689-717, December.
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    Cited by:

    1. Vito Fragnelli & Lucia Pusillo, 2020. "Multiobjective Games for Detecting Abnormally Expressed Genes," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    2. Giovanni P. Crespi & Daishi Kuroiwa & Matteo Rocca, 2020. "Robust Nash equilibria in vector-valued games with uncertainty," Annals of Operations Research, Springer, vol. 289(2), pages 185-193, June.

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