Stability of Regularized Bilevel Programming Problems
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DOI: 10.1023/A:1022695113803
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Cited by:
- H. Bonnel & J. Morgan, 2006. "Semivectorial Bilevel Optimization Problem: Penalty Approach," Journal of Optimization Theory and Applications, Springer, vol. 131(3), pages 365-382, December.
- Francesco Caruso & Maria Carmela Ceparano & Jacqueline Morgan, 2019.
"Subgame Perfect Nash Equilibrium: A Learning Approach via Costs to Move,"
Dynamic Games and Applications, Springer, vol. 9(2), pages 416-432, June.
- Francesco Caruso & Maria Carmela Ceparano & Jacqueline Morgan, 2017. "Subgame Perfect Nash Equilibrium: A Learning Approach Via Costs to Move," CSEF Working Papers 476, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 20 Jul 2018.
- Henri Bonnel & Léonard Todjihoundé & Constantin Udrişte, 2015. "Semivectorial Bilevel Optimization on Riemannian Manifolds," Journal of Optimization Theory and Applications, Springer, vol. 167(2), pages 464-486, November.
- Ming Hu & Masao Fukushima, 2011. "Variational Inequality Formulation of a Class of Multi-Leader-Follower Games," Journal of Optimization Theory and Applications, Springer, vol. 151(3), pages 455-473, December.
- Francesco Caruso & Maria Carmela Ceparano & Jacqueline Morgan, 2024.
"Asymptotic behavior of subgame perfect Nash equilibria in Stackelberg games,"
Annals of Operations Research, Springer, vol. 336(3), pages 1573-1590, May.
- Francesco Caruso & Maria Carmela Ceparano & Jacqueline Morgan, 2022. "Asymptotic Behavior of Subgame Perfect Nash Equilibria in Stackelberg Games," CSEF Working Papers 661, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
- L. Mallozi & S. Tijs & M. Voorneveld, 2000. "Infinite Hierarchical Potential Games," Journal of Optimization Theory and Applications, Springer, vol. 107(2), pages 287-296, November.
- Gaoxi Li & Xinmin Yang, 2021. "Convexification Method for Bilevel Programs with a Nonconvex Follower’s Problem," Journal of Optimization Theory and Applications, Springer, vol. 188(3), pages 724-743, March.
- Abdelmalek Aboussoror & Samir Adly, 2018. "New necessary and sufficient optimality conditions for strong bilevel programming problems," Journal of Global Optimization, Springer, vol. 70(2), pages 309-327, February.
- M. Lignola & Jacqueline Morgan, 2012. "Approximate values for mathematical programs with variational inequality constraints," Computational Optimization and Applications, Springer, vol. 53(2), pages 485-503, October.
- Gaoxi Li & Zhongping Wan, 2018. "On Bilevel Programs with a Convex Lower-Level Problem Violating Slater’s Constraint Qualification," Journal of Optimization Theory and Applications, Springer, vol. 179(3), pages 820-837, December.
- M. B. Lignola & J. Morgan, 2007. "On Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints," Journal of Optimization Theory and Applications, Springer, vol. 133(1), pages 117-121, April.
- M. Beatrice Lignola & Jacqueline Morgan, 2012. "Approximating Security Values of MinSup Problems with Quasi-variational Inequality Constraints," CSEF Working Papers 321, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 09 Oct 2014.
- Lorenzo Lampariello & Simone Sagratella, 2020. "Numerically tractable optimistic bilevel problems," Computational Optimization and Applications, Springer, vol. 76(2), pages 277-303, June.
- M. Beatrice Lignola & Jacqueline Morgan, 2013. "Asymptotic Behavior of Regularized OptimizationProblems with Quasi-variational Inequality Constraints," CSEF Working Papers 350, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
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Keywords
Bilevel programming problems; strong Stackelberg problems; marginal functions; epiconvergence; convergence of multi-functions; convergence of solutions; convergence of values;All these keywords.
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