New results on approximate solution in two-level optimization
From MaRDI portal
Publication:4735045
DOI10.1080/02331938908843503zbMath0684.90089OpenAlexW2024247801MaRDI QIDQ4735045
Pierre Loridan, Jacqueline Morgan
Publication date: 1989
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331938908843503
Stackelberg equilibriumapproximate solutionstwo-level optimization\(\epsilon \) -regularized problem
Nonlinear programming (90C30) 2-person games (91A05) Hierarchical systems (93A13) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items
Global convergence and rate of convergence of a method of centers, A method to bypass the lack of solutions in minsup problems under quasi-equilibrium constraints, Bilevel and multilevel programming: A bibliography review, Topological existence and stability for Stackelberg problems, Stability of regularized bilevel programming problems, Continuity properties of \(\varepsilon\)-solutions for a generalized parametric saddle point problems and application to hierarchical games, Inner regularizations and viscosity solutions for pessimistic bilevel optimization problems, Sequential stability of regularized constrained stackelberg problems, Hierarchical problems of Nash points: Existence and approximation in the case of uniqueness of the solution to the lower level problem, Semivectorial bilevel optimization on Riemannian manifolds, A reducibility method for the weak linear bilevel programming problems and a case study in principal-agent, Convergences of marginal functions with dependent constraints, Maximum entropy approach for solving pessimistic bilevel programming problems, Weak stackelberg problem and mixed solutions under data perturbations11this paper is based upon a communication presented at the 14th symposium on mathematical programming with data perturbation, Washington D.C. 1992. This research has been supported by M.U.R.S.T Roma, Italia.$ef:, Asymptotic behavior of semi-quasivariational optimistic bilevel problems in Banach spaces, Double penalty method for bilevel optimization problems, Variational principles for supinf problems with constraints, On convergence results for weak efficiency in vector optimization problems with equilibrium constraints, Infinite hierarchical potential games, Strong-weak nonlinear bilevel problems: existence of solutions in a sequential setting, A global optimization approach for the linear two-level program, On the computation of relaxed pessimistic solutions to MPECs, Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems, Lower convergence of approximate solutions to vector quasi-variational problems, Convergent Semidefinite Programming Relaxations for Global Bilevel Polynomial Optimization Problems, Deregulated electricity markets with thermal losses and production bounds: models and optimality conditions, Partially-shared pessimistic bilevel multi-follower programming: concept, algorithm, and application, Topological existence and stability for min sup problems, Weak via strong Stackelberg problem: New results, Perturbations of supinf problems with constraints, Mixed solutions for weak Stackelberg problems: existence and stability results., A regularization method for ill-posed bilevel optimization problems, Regularization and Approximation Methods in Stackelberg Games and Bilevel Optimization, Methods for Pessimistic Bilevel Optimization, Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography, A quasiconcave minimization method for solving linear two-level programs, \(\epsilon\)-mixed strategies for static continuous-kernel Stackelberg games
Cites Work
- Convex two-level optimization
- Dynamic noncooperative game theory
- On the Stackelberg strategy in nonzero-sum games
- Additional aspects of the Stackelberg strategy in nonzero-sum games
- A new computational method for Stackelberg and min-max problems by use of a penalty method
- Approximation of two-person games with information exchange
- Convergence of minima in convergence spaces1