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Decomposition algorithms for generalized potential games

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Abstract

We analyze some new decomposition schemes for the solution of generalized Nash equilibrium problems. We prove convergence for a particular class of generalized potential games that includes some interesting engineering problems. We show that some versions of our algorithms can deal also with problems lacking any convexity and consider separately the case of two players for which stronger results can be obtained.

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Authors and Affiliations

  1. Dipartimento di Informatica e Sistemistica Antonio Ruberti, Sapienza Università di Roma, Via Ariosto 25, 00185, Roma, Italy

    Francisco Facchinei

  2. Dipartimento di Ingegneria dell’Impresa, Università di Tor Vergata, Via del Politecnico 1, 00133, Roma, Italy

    Veronica Piccialli

  3. Dipartimento di Sistemi e Informatica, Università di Firenze, Via S. Marta 3, 50139, Firenze, Italy

    Marco Sciandrone

Authors
  1. Francisco Facchinei
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  2. Veronica Piccialli
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  3. Marco Sciandrone
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Corresponding author

Correspondence to Francisco Facchinei.

Additional information

To Liqun Qi on the occasion of his 65th birthday, with friendship and admiration.

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Facchinei, F., Piccialli, V. & Sciandrone, M. Decomposition algorithms for generalized potential games. Comput Optim Appl 50, 237–262 (2011). https://doi.org/10.1007/s10589-010-9331-9

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  • DOI: https://doi.org/10.1007/s10589-010-9331-9

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