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Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems

Author

Listed:
  • Axel Dreves

    ()

  • Christian Kanzow

    ()

  • Oliver Stein

    ()

Abstract

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Suggested Citation

  • Axel Dreves & Christian Kanzow & Oliver Stein, 2012. "Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems," Journal of Global Optimization, Springer, vol. 53(4), pages 587-614, August.
  • Handle: RePEc:spr:jglopt:v:53:y:2012:i:4:p:587-614
    DOI: 10.1007/s10898-011-9727-9
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    References listed on IDEAS

    as
    1. Jong-Shi Pang & Masao Fukushima, 2005. "Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games," Computational Management Science, Springer, vol. 2(1), pages 21-56, January.
    2. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, January.
    3. Koichi Nabetani & Paul Tseng & Masao Fukushima, 2011. "Parametrized variational inequality approaches to generalized Nash equilibrium problems with shared constraints," Computational Optimization and Applications, Springer, vol. 48(3), pages 423-452, April.
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    Cited by:

    1. repec:eee:ejores:v:266:y:2018:i:2:p:543-553 is not listed on IDEAS
    2. repec:spr:joptap:v:170:y:2016:i:2:d:10.1007_s10957-015-0779-8 is not listed on IDEAS
    3. Axel Dreves, 2016. "Improved error bound and a hybrid method for generalized Nash equilibrium problems," Computational Optimization and Applications, Springer, vol. 65(2), pages 431-448, November.
    4. Axel Dreves & Francisco Facchinei & Andreas Fischer & Markus Herrich, 2014. "A new error bound result for Generalized Nash Equilibrium Problems and its algorithmic application," Computational Optimization and Applications, Springer, vol. 59(1), pages 63-84, October.
    5. Oliver Stein & Nathan Sudermann-Merx, 2014. "On smoothness properties of optimal value functions at the boundary of their domain under complete convexity," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(3), pages 327-352, June.
    6. repec:spr:mathme:v:86:y:2017:i:3:d:10.1007_s00186-017-0599-8 is not listed on IDEAS
    7. Axel Dreves, 2014. "Finding all solutions of affine generalized Nash equilibrium problems with one-dimensional strategy sets," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 80(2), pages 139-159, October.
    8. repec:spr:mathme:v:85:y:2017:i:2:d:10.1007_s00186-016-0562-0 is not listed on IDEAS
    9. repec:spr:mathme:v:85:y:2017:i:1:d:10.1007_s00186-016-0565-x is not listed on IDEAS
    10. repec:spr:coopap:v:68:y:2017:i:3:d:10.1007_s10589-017-9927-4 is not listed on IDEAS

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