Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC

• Corporate Author: SpringerLink (Online service)
• Other Authors: Aussel, Didier (Editor, http://id.loc.gov/vocabulary/relators/edt), Lalitha, C.S (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Edition: 1st ed. 2017.
• Series: Forum for Interdisciplinary Mathematics,
• Subjects: Mathematical optimization.; Game theory.; Operator theory.; Physics.; Optimization.; Game Theory, Economics, Social and Behav. Sciences.; Operator Theory.; Mathematical Methods in Physics.

The book discusses three classes of problems: the generalized Nash equilibrium problems, the bilevel problems and the mathematical programming with equilibrium constraints (MPEC). These problems interact through their mathematical analysis as well as their applications. The primary aim of the book i...

Table of Contents:

• Chapter 1. Bilevel Optimization: Reformulation and First Optimality Conditions
• Chapter 2. Calmness as a Constraint Qualification for M-Stationarity Conditions in MPECs
• Chapter 3. Optimality Conditions for Bilevel Programming: An Approach Through Variational Analysis
• Chapter 4. Mechanism Design and Auctions for Electricity Network
• Chapter 5. Reflection Methods for Inverse Problems with Applications to Protein Conformation Determination
• Chapter 6. On Single-Valuedness of Quasimonotone Set-Valued Operators.