LEADER 05051nam 2200637Ia 450 001 9910784593403321 005 20200520144314.0 010 $a1-280-96260-7 010 $a9786610962600 010 $a0-08-047138-2 035 $a(CKB)1000000000357666 035 $a(EBL)287950 035 $a(OCoLC)476040860 035 $a(SSID)ssj0000148858 035 $a(PQKBManifestationID)11155515 035 $a(PQKBTitleCode)TC0000148858 035 $a(PQKBWorkID)10237836 035 $a(PQKB)11434463 035 $a(Au-PeEL)EBL287950 035 $a(CaPaEBR)ebr10167101 035 $a(CaONFJC)MIL96260 035 $a(MiAaPQ)EBC287950 035 $a(EXLCZ)991000000000357666 100 $a20061206d2007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEquilibrium models and variational inequalities$b[electronic resource] /$fI.V. Konnov 210 $aAmsterdam ;$aBoston $cElsevier$d2007 215 $a1 online resource (251 p.) 225 1 $aMathematics in science and engineering,$x0076-5392 ;$vv. 210 300 $aDescription based upon print version of record. 311 $a0-444-53030-4 320 $aIncludes bibliographical references and index. 327 $aFront Cover; Equilibrium Models and Variational Inequalities; Copyright Page; Preface; Table of Contents; List of Figures; Chapter 1 Introduction; Part I MODELS; Chapter 2 Linear Models in Economics; 2.1 Open input-output model; 2.2 Generalizations; 2.3 Closed input-output model; Chapter 3 Linear Dynamic Models of an Economy; 3.1 Extended dynamic input-output model; 3.2 The von Neumann model of an expanding economy; Chapter 4 Optimization and Equilibria; 4.1 Linear programming problems; 4.2 Economic interpretation of optimality conditions; 4.3 Economic interpretation of the solution method 327 $aChapter 5 Nonlinear Economic Equilibrium Models5.1 Cassel-Wald type economic equilibrium models; 5.2 General price equilibrium models; 5.3 Spatial price equilibrium models; 5.4 Imperfectly competitive equilibrium models; Chapter 6 Transportation and Migration Models; 6.1 Network equilibrium models; 6.2 Migration equilibrium models; Part II COMPLEMENTARITY PROBLEMS; Chapter 7 Complementarity with Z Properties; 7.1 Classes of complementarity problems; 7.2 Classes of square matrices and their properties; 7.3 Complementarity problems with Z cost mappings; Chapter 8 Applications 327 $a8.1 Input-output models8.2 Price equilibrium models; 8.3 A pure trade market model; 8.4 Price oligopoly models; Chapter 9 Complementarity with P Properties; 9.1 Existence and uniqueness results; 9.2 Solution methods for CP's with P properties; Chapter 10 Applications; 10.1 Walrasian price equilibrium models; 10.2 Oligopolistic equilibrium models; Part III VARIATIONAL INEQUALITIES; Chapter 11 Theory of Variational Inequalities; 11.1 Variational inequalities and related problems; 11.2 Existence and uniqueness results; Chapter 12 Applications; 12.1 Cassel-Wald equilibrium models 327 $a12.2 Walrasian equilibrium models and their modifications12.3 Existence results in Walrasian equilibrium models; 12.4 Imperfect competition models; 12.5 Network and migration equilibrium models; Chapter 13 Projection Type Methods; 13.1 The classical projection method; 13.2 The projection methods with linesearch; 13.3 Modifications and extensions; Chapter 14 Applications of the Projection Methods; 14.1 Applications to variational inequalities; 14.2 Applications to systems of variational inequalities; Chapter 15 Regularization Methods 327 $a15.1 The classical regularization method and its modifications15.2 The proximal point method; Chapter 16 Direct Iterative Methods for Monotone Variational Inequalities; 16.1 Extrapolation methods; 16.2 The ellipsoid method; Chapter 17 Solutions to Exercises; Bibliography; Index 330 $aThe concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry, biology and other fields. If one can formulate the equilibrium problem in the form of a mathematical model, solutions of the corresponding problem can be used for forecasting the future behavior of very complex systems and, also, for correcting the the current state of the system under control. This book presents a unifying look on different equilibrium concepts in economics, including several models from r 410 0$aMathematics in science and engineering ;$vv. 210. 606 $aVariational inequalities (Mathematics) 606 $aEquilibrium (Economics) 615 0$aVariational inequalities (Mathematics) 615 0$aEquilibrium (Economics) 676 $a515/.64 700 $aKonnov$b Igor$f1958-$0301035 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910784593403321 996 $aEquilibrium models and variational inequalities$9731278 997 $aUNINA