Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Aussel, Didier (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Lalitha, C.S (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2017.
Έκδοση:1st ed. 2017.
Σειρά:Forum for Interdisciplinary Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 04702nam a2200541 4500
001 978-981-10-4774-9
003 DE-He213
005 20191023213100.0
007 cr nn 008mamaa
008 180403s2017 si | s |||| 0|eng d
020 |a 9789811047749  |9 978-981-10-4774-9 
024 7 |a 10.1007/978-981-10-4774-9  |2 doi 
040 |d GrThAP 
050 4 |a QA402.5-402.6 
072 7 |a PBU  |2 bicssc 
072 7 |a MAT003000  |2 bisacsh 
072 7 |a PBU  |2 thema 
082 0 4 |a 519.6  |2 23 
245 1 0 |a Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC  |h [electronic resource] /  |c edited by Didier Aussel, C.S. Lalitha. 
250 |a 1st ed. 2017. 
264 1 |a Singapore :  |b Springer Singapore :  |b Imprint: Springer,  |c 2017. 
300 |a XIV, 124 p. 16 illus., 7 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Forum for Interdisciplinary Mathematics,  |x 2364-6748 
505 0 |a 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. 
520 |a 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 is to present the modern tool of variational analysis and optimization, which are used to analyze these three classes of problems. All contributing authors are respected academicians, scientists and researchers from around the globe. These contributions are based on the lectures delivered by experts at CIMPA School, held at the University of Delhi, India, from 25 November-6 December 2013, and peer-reviewed by international experts. The book contains five chapters. Chapter 1 deals with nonsmooth, nonconvex bilevel optimization problems whose feasible set is described by using the graph of the solution set mapping of a parametric optimization problem. Chapter 2 describes a constraint qualification to MPECs considered as an application of calmness concept of multifunctions and is used to derive M-stationarity conditions for MPEC. Chapter 3 discusses the first- and second-order optimality conditions derived for a special case of a bilevel optimization problem in which the constraint set of the lower level problem is described as a general compact convex set. Chapter 4 concentrates the results of the modelization and analysis of deregulated electricity markets with a focus on auctions and mechanism design. Chapter 5 focuses on optimization approaches called reflection methods for protein conformation determination within the framework of matrix completion. The last chapter (Chap. 6) deals with the single-valuedness of quasimonotone maps by using the concept of single-directionality with a special focus on the case of the normal operator of lower semi-continuous quasiconvex functions. 
650 0 |a Mathematical optimization. 
650 0 |a Game theory. 
650 0 |a Operator theory. 
650 0 |a Physics. 
650 1 4 |a Optimization.  |0 http://scigraph.springernature.com/things/product-market-codes/M26008 
650 2 4 |a Game Theory, Economics, Social and Behav. Sciences.  |0 http://scigraph.springernature.com/things/product-market-codes/M13011 
650 2 4 |a Operator Theory.  |0 http://scigraph.springernature.com/things/product-market-codes/M12139 
650 2 4 |a Mathematical Methods in Physics.  |0 http://scigraph.springernature.com/things/product-market-codes/P19013 
700 1 |a Aussel, Didier.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
700 1 |a Lalitha, C.S.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9789811047732 
776 0 8 |i Printed edition:  |z 9789811047756 
776 0 8 |i Printed edition:  |z 9789811338427 
830 0 |a Forum for Interdisciplinary Mathematics,  |x 2364-6748 
856 4 0 |u https://doi.org/10.1007/978-981-10-4774-9  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)