Complementarity, equilibrium, efficiency and economics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
2002
|
| Series: | Nonconvex optimization and its applications
63 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes index |
| Physical Description: | XVII, 445 S. |
| ISBN: | 1402006888 |
Staff View
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| adam_text | COMPLEMENTARITY, EQUILIBRIUM, EFFICIENCY AND ECONOMICS BY G. ISAC
DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE, ROYAL MILITARY COLLEGE
OF CANADA, KINGSTON, ONTARIO, CANADA V.A. BULAVSKY AND V.V. KALASHNIKOV
CENTRAL ECONOMICS INSTITUTE (CEMI) OF RUSSIAN ACADEMY OF SCIENCES,
MOSCOW, RUSSIA KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON
CONTENTS 1 INTRODUCTION 3 1.1 MULTI-VALUED MAPPINGS AND VARIATIONAL
INEQUALITIES 3 1.2 VARIATIONAL INEQUALITIES ON CONVEX COMPACT SETS 7 1.3
NONCOMPACT CASE 11 1.4 COMMENTS 16 2 OPTIMIZATION MODELS 19 2.1
MINIMIZATION PROBLEM: GENERAL FORM 19 2.2 CONVEX PROGRAMMING PROBLEM 26
2.3 MARGINAL VALUES AND FEEDBACK IN OPTIMIZATION PROBLEMS 30 2.4
MULTI-OBJECTIVE PROBLEM 35 2.5 COMMENTS 40 3 GENERAL ECONOMIC
EQUILIBRIUM 43 3.1 ELEMENTS OF GAMES THEORY 43 3.2 MODEL OF
DECENTRALIZED ECONOMY, AND PERFECT COMPETITION EQUILIBRIUM 46 3.3
ARROW-DEBREU MODEL 51 3.4 COMMENTS 57 4 MODELS OF OLIGOPOLY 59 4.1
INTRODUCTION 60 4.2 EXTENDED COURNOT MODELS : . . 60 4.2.1 PROBLEM
SPECIFICATION 60 4.2.2 EXISTENCE THEOREM 65 4.2.3 UNIQUENESS OF SOLUTION
68 4.2.4 CASE OF CONSTANT ELASTICITY 70 4.2.5 INFLUENCE QUOTIENT AS
FUNCTION OF TOTAL BARGAIN VOLUME 73 4.3 NETWORK MODELS OF OLIGOPOLY 75
VIII CONTENTS 4.3.1 INTRODUCTION 75 4.3.2 MODEL WITH INDIVIDUAL MARKETS
OF PRODUCTION FACTORS 76 4.3.3 EXISTENCE AND UNIQUENESS THEOREMS .... 79
4.3.4 MODEL WITH A COMMON MARKET OF PRODUCTION FACTORS 85 4.3.5 HUMAN
MIGRATION MODEL 88 4.3.6 CONCLUDING REMARKS 92 OLIGOPOLY WITH LEADERS 95
5.1 MARKET WITH SEVERAL LEADERS 95 5.2 COMPARISON OF COURNOT AND
STACKELBERG MODELS 98 5.3 EXAMPLES OF MODELS 102 5.3.1 COURNOT MODEL
VERSUS HIGH EXPECTATIONS MODEL 102 5.3.2 COURNOT MODEL VERSUS MIXED
CONJECTURES MODEL 104 5.3.3 COMPARISON OF STACKELBERG AND COURNOT MODELS
105 5.3.4 COURNOT OLIGOPOLY VERSUS PERFECT COMPETITION 106 5.4 COMPUTING
THE STACKELBERG EQUILIBRIUM 108 5.5 COMMENTS 109 COMPLEMENTARITY
PROBLEMS WITH RESPECT TO GENERAL CONES 113 6.1 INTRODUCTION AND
PRELIMINARIES 113 6.2 COMPLEMENTARITY PROBLEM WITH RESPECT TO A GENERAL
CONE 116 6.3 SUFFICIENT EXISTENCE CONDITIONS 119 6.4 STANDARD
COMPLEMENTARITY PROBLEM 126 6.5 IMPLICIT COMPLEMENTARITY PROBLEM 129 6.6
GENERAL ORDER COMPLEMENTARITY PROBLEM ... 134 6.7 SEMIDEFINITE
COMPLEMENTARITY PROBLEM , 135 6.7.1 PROBLEM SPECIFICATION 135 6.7.2
THEOREMS OF ALTERNATIVES 136 6.7.3 EXISTENCE OF SOLUTIONS 141 6.7.4
CONCLUSION 147 PSEUDOMONOTONE AND IMPLICIT COMPLEMENTAR- ITY PROBLEMS
149 7.1 INTRODUCTION AND PRELIMINARIES 149 7.1 INTRODUCTION AND
PRELIMINARIES 150 7.1.1 PRELIMINARIES 151 7.1.2 LERAY-SCHAUDER TYPE
ALTERNATIVE 152 7.2 COMPLEMENTARITY PROBLEMS WITH PSEUDOMONOTONE
MAPPINGS 153 7.2.1 STRICT FEASIBILITY, SOLVABILITY, AND EXCEP- TIONAL
FAMILIES OF ELEMENTS 156 7.3 SOLVING BILEVEL VARIATIONAL INEQUALITIES
WITH MONOTONE MAPPINGS 160 7.3.1 PROBLEM SPECIFICATION 160 7.3.2
EXISTENCE THEOREM 161 7.3.3 PENALIZATION APPROACH 163 7.4 A
REGULARIZATION APPROACH TO VARIATIONAL IN- EQUALITIES WITH
PSEUDOMONOTONE MAPPINGS 165 7.4.1 PRELIMINARIES 166 7.4.2 REGULARIZATION
167 7.4.3 CONCLUDING REMARKS 173 7.5 INFINITE DIMENSIONAL IMPLICIT
COMPLEMENTARITY PROBLEM 173 7.5.1 EXISTENCE ALTERNATIVES 174 7.5.2 PAIRS
OF MAPPINGS WITHOUT EXCEPTIONAL FAMILIES OF ELEMENTS 176 7.5.3
CONTINUOUS SELECTIONS APPROACH TO MULTI-VALUED IMPLICIT COMPLEMENTARITY
PROBLEM 178 7.6 COMPACTIFICATION APPROACH TO MICP WITH UPPER
SEMICONTINUOUS MAPPINGS 181 COMPLEMENTARITY PIVOT METHODS 197 8.1
INTRODUCTION 197 8.2 LEMKE S PIVOTING ALGORITHM 198 8.2.1 NOTATION 198
8.2.2 LEXICO-POSITIVE INEQUALITY SYSTEMS . . . . 199 8.2.3 THE LINEAR
COMPLEMENTARITY PROBLEMS Q M AND D Q M 199 8.2.4 COMPLEMENTARY BASES AND
ADJACENCY ... 200 8.2.5 DEGENERACY 200 8.2.6 DESCRIPTION OF LEMKE S
ALGORITHM 201 8.2.7 SECONDARY RAYS AND THE BASIC THEOREM 202 8.2.8 THE
CLASS 202 8.2.9 THE CLASS F O 205 8.3 EXTENSIONS OF LEMKE S ALGORITHM
206 CONTENTS 8.3.1 PROJECTIVE TRANSFORMATIONS 207 8.3.2 ALGORITHMS 208
8.3.3 PROPERTIES OF THE ALGORITHMS 215 8.4 BLOCK-PIVOT METHODS 218 8.4.1
PIGEONHOLING 218 8.4.2 PERMUTATIONS 221 8.4.3 DISCUSSION 222 8.5
SUMMARY: CONDITIONS UNDER WHICH THE COMPLEMENTARITY PIVOT ALGORITHM
WORKS 223 8.5.1 RESULTS ON LCPS ASSOCIATED WITH COPOSITIVE PLUS MATRICES
224 8.5.2 RESULTS ON LCPS ASSOCIATES WITH L- AND ,-MATRICES 225 8.5.3 A
VARIANT OF THE COMPLEMENTARITY PIVOT ALGORITHM 226 9 SCARF TYPE
ALGORITHMS 231 9.1 INTRODUCTION 232 9.2 PROBLEM SPECIFICATION 233 9.3
EXISTENCE CONDITIONS 235 9.4 THE SCARF TYPE ALGORITHM 237 9.5
CONSTRUCTIVE PROOFS OF THE EXISTENCE THEOREMS 242 9.6 FIXED POINT
THEOREMS 244 9.7 COMMENTS 247 10 NEWTON-LIKE METHODS 251 10.1 PROBLEM
SPECIFICATION 251 10.2 INDIVIDUAL RESPONSE FUNCTIONS 254 10.3
DESCRIPTION OF ALGORITHM 256 10.4 CONVERGENCE RATE 258 10.5 EXTENSION TO
THE CASE OF NONLINEAR COSTS ... 259 10.5.1 DESCRIPTION OF THE EXTENDED
ALGORITHM 261 10.6 OPTIMAL CONTROL OF STEP PRECISION IN BILEVEL
ITERATION PROCEDURES OF NEWTON TYPE 264 11 PARAMETRIZATION AND REDUCTION
TO NONLINEAR EQUATIONS 273 11.1 EXISTENCE OF SOLUTIONS TO PERTURBED
PROBLEM 274 11.2 CONVERGENCE RATE 278 11.3 SOLVING PERTURBED PROBLEMS
280 11.4 REGULARIZATION METHODS 283 11.4.1 PRELIMINARIES 285 11.4.2
EXISTENCE OF REGULARIZED SOLUTION .... 287 11.5 INEXACT REGULARIZATION
METHODS 290 11.5.1 FINAL REMARKS 295 12 EFFICIENCY 299 12.1 INTRODUCTION
299 12.2 PRELIMINARIES: A MINIMAL BACKGROUND ON CON- VEX CONES 300 12.3
SOME NOTIONS OF EFFICIENCY 316 12.4 SOME EXISTENCE THEOREMS FOR
EFFICIENCY .... 333 12.5 NUCLEAR CONES AND EFFICIENCY 340 12.6 A GENERAL
CONSTRUCTIVE EXISTENCE PRINCIPLE FOR EFFICIENCY 348 12.7 SOME
TOPOLOGICAL PROPERTIES OF EFFICIENT POINT SETS 354 12.8 EFFICIENT
POINTS AND THE CHOQUET BOUNDARY . 374 12.9 NUCLEAR CONES, PARETO
EFFICIENCY AND A GEO- METRICAL ASPECT OF EKELAND S PRINCIPLE 376 13
APPROXIMATIVE EFFICIENCY 387 13.1 -EFFICIENT POINTS 387 13.2
7/-EFFICENCY 392 13.3 INFINITESIMAL EFFICIENCY 400 13.4 -EFFICIENCY
WITH RESPECT TO AN ARBITRARY SET 402 13.5 EKELAND VARIATIONAL PRINCIPLE
TYPES FOR VEC- TOR VALUED MAPPINGS, EFFICIENCY AND APPROXI- MATIVE
EFFICIENCY 406 13.6 APPROXIMATIVE EFFICIENCY BY A PERTURBATION OF CONE
423 13.7 EFFICIENCY IN PRODUCT SPACES AND E-EFFICIENCY 425
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:03:15Z |
| institution | BVB |
| isbn | 1402006888 |
| language | English |
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| series | Nonconvex optimization and its applications |
| series2 | Nonconvex optimization and its applications |
| spelling | Isac, George Verfasser aut Complementarity, equilibrium, efficiency and economics by G. Isac, V. A. Bulavsky and V.V. Kalashnikov Dordrecht [u.a.] Kluwer 2002 XVII, 445 S. txt rdacontent n rdamedia nc rdacarrier Nonconvex optimization and its applications 63 Includes index Equilibrium (Economics) Linear complementarity problem Industrial efficiency Gleichgewichtstheorie (DE-588)4071876-1 gnd rswk-swf Komplementarität Wirtschaft (DE-588)4164876-6 gnd rswk-swf Komplementarität Wirtschaft (DE-588)4164876-6 s Gleichgewichtstheorie (DE-588)4071876-1 s DE-604 Bulavskiĭ, V. A. Sonstige oth Kalashnikov, Vyacheslav V. Sonstige oth Nonconvex optimization and its applications 63 (DE-604)BV010085908 63 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009888007&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Isac, George Complementarity, equilibrium, efficiency and economics Nonconvex optimization and its applications Equilibrium (Economics) Linear complementarity problem Industrial efficiency Gleichgewichtstheorie (DE-588)4071876-1 gnd Komplementarität Wirtschaft (DE-588)4164876-6 gnd |
| subject_GND | (DE-588)4071876-1 (DE-588)4164876-6 |
| title | Complementarity, equilibrium, efficiency and economics |
| title_auth | Complementarity, equilibrium, efficiency and economics |
| title_exact_search | Complementarity, equilibrium, efficiency and economics |
| title_full | Complementarity, equilibrium, efficiency and economics by G. Isac, V. A. Bulavsky and V.V. Kalashnikov |
| title_fullStr | Complementarity, equilibrium, efficiency and economics by G. Isac, V. A. Bulavsky and V.V. Kalashnikov |
| title_full_unstemmed | Complementarity, equilibrium, efficiency and economics by G. Isac, V. A. Bulavsky and V.V. Kalashnikov |
| title_short | Complementarity, equilibrium, efficiency and economics |
| title_sort | complementarity equilibrium efficiency and economics |
| topic | Equilibrium (Economics) Linear complementarity problem Industrial efficiency Gleichgewichtstheorie (DE-588)4071876-1 gnd Komplementarität Wirtschaft (DE-588)4164876-6 gnd |
| topic_facet | Equilibrium (Economics) Linear complementarity problem Industrial efficiency Gleichgewichtstheorie Komplementarität Wirtschaft |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009888007&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010085908 |
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