Variational inequality formulation of a class of multi-leader-follower games

DOI10.1007/s10957-011-9901-8zbMath1231.91049OpenAlexW2132812572MaRDI QIDQ662864

Masao Fukushima, Ming Hu

Publication date: 13 February 2012

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/151706

zbMATH Keywords

variational inequalityNash equilibrium problemmulti-leader-follower gamederegulated electricity market model

Mathematics Subject Classification ID

Hierarchical games (including Stackelberg games) (91A65) Applications of game theory (91A80) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) (n)-person games, (n>2) (91A06)

Related Items (11)

Existence and generic stability of cooperative equilibria for multi-leader-multi-follower games ⋮ On an equilibrium problem with complementarity constraints formulation of pay-as-clear electricity market with demand elasticity ⋮ On the computation of equilibria in monotone and potential stochastic hierarchical games ⋮ Two-stage distributionally robust noncooperative games: existence of Nash equilibrium and its application to Cournot-Nash competition ⋮ Solving normalized stationary points of a class of equilibrium problem with equilibrium constraints ⋮ Unnamed Item ⋮ Gauss-Seidel method for multi-leader-follower games ⋮ A Markovian Stackelberg game approach for computing an optimal dynamic mechanism ⋮ Existence and stability of weakly Pareto-Nash equilibrium for generalized multiobjective multi-leader-follower games ⋮ Existence of weakly cooperative equilibria for infinite-leader-infinite-follower games ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

• Unnamed Item
• Unnamed Item
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Solving box constrained variational inequalities by using the natural residual with D-gap function globalization
• Stability of regularized bilevel programming problems
• Network economics: a variational inequality approach
• Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games
• Non-cooperative games
• A Stochastic Multiple-Leader Stackelberg Model: Analysis, Computation, and Application
• Solving multi-leader–common-follower games
• Using EPECs to Model Bilevel Games in Restructured Electricity Markets with Locational Prices
• A Multiple Leader Stackelberg Model and Analysis
• Engineering and Economic Applications of Complementarity Problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Equilibrium points in n -person games
• Generalized Nash equilibrium problems

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