05051nam 2200637Ia 450 991078459340332120200520144314.01-280-96260-797866109626000-08-047138-2(CKB)1000000000357666(EBL)287950(OCoLC)476040860(SSID)ssj0000148858(PQKBManifestationID)11155515(PQKBTitleCode)TC0000148858(PQKBWorkID)10237836(PQKB)11434463(Au-PeEL)EBL287950(CaPaEBR)ebr10167101(CaONFJC)MIL96260(MiAaPQ)EBC287950(EXLCZ)99100000000035766620061206d2007 uy 0engur|n|---|||||txtccrEquilibrium models and variational inequalities[electronic resource] /I.V. KonnovAmsterdam ;Boston Elsevier20071 online resource (251 p.)Mathematics in science and engineering,0076-5392 ;v. 210Description based upon print version of record.0-444-53030-4 Includes bibliographical references and index.Front 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 methodChapter 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 Applications8.1 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 models12.2 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 Methods15.1 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; IndexThe 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 rMathematics in science and engineering ;v. 210.Variational inequalities (Mathematics)Equilibrium (Economics)Variational inequalities (Mathematics)Equilibrium (Economics)515/.64Konnov Igor1958-301035MiAaPQMiAaPQMiAaPQBOOK9910784593403321Equilibrium models and variational inequalities731278UNINA