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Smoothing approach to Nash equilibrium formulations for a class of equilibrium problems with shared complementarity constraints

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  • Ming Hu
  • Masao Fukushima

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  • Ming Hu & Masao Fukushima, 2012. "Smoothing approach to Nash equilibrium formulations for a class of equilibrium problems with shared complementarity constraints," Computational Optimization and Applications, Springer, vol. 52(2), pages 415-437, June.
    • Handle: RePEc:spr:coopap:v:52:y:2012:i:2:p:415-437
    DOI: 10.1007/s10589-011-9416-0
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    References listed on IDEAS

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    1. Peter Kall, 1986. "Approximation to Optimization Problems: An Elementary Review," Mathematics of Operations Research, INFORMS, vol. 11(1), pages 9-18, February.
    2. 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.
    3. Xinmin Hu & Daniel Ralph, 2007. "Using EPECs to Model Bilevel Games in Restructured Electricity Markets with Locational Prices," Operations Research, INFORMS, vol. 55(5), pages 809-827, October.
    4. Jong-Shi Pang & Masao Fukushima, 2009. "Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games," Computational Management Science, Springer, vol. 6(3), pages 373-375, August.
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    Cited by:

    1. Atsushi Hori & Daisuke Tsuyuguchi & Ellen H. Fukuda, 2024. "A Method for Multi-Leader–Multi-Follower Games by Smoothing the Followers’ Response Function," Journal of Optimization Theory and Applications, Springer, vol. 203(1), pages 305-335, October.
    2. Susan Schommer, 2013. "Computing equilibria in economies with incomplete markets, collateral and default penalties," Annals of Operations Research, Springer, vol. 206(1), pages 367-383, July.
    3. Jie Zhang & Xinmin Yang & Gaoxi Li & Ke Zhang, 2023. "A smoothing proximal gradient algorithm with extrapolation for the relaxation of $${\ell_{0}}$$ ℓ 0 regularization problem," Computational Optimization and Applications, Springer, vol. 84(3), pages 737-760, April.
    4. Atsushi Hori & Masao Fukushima, 2019. "Gauss–Seidel Method for Multi-leader–follower Games," Journal of Optimization Theory and Applications, Springer, vol. 180(2), pages 651-670, February.

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