02919nam 2200613 a 450 991078087720332120230725041522.01-282-76072-69786612760723981-283-719-1(CKB)2490000000001912(EBL)731345(OCoLC)670429746(SSID)ssj0000417820(PQKBManifestationID)12139611(PQKBTitleCode)TC0000417820(PQKBWorkID)10368499(PQKB)11263258(MiAaPQ)EBC731345(WSP)00007117(Au-PeEL)EBL731345(CaPaEBR)ebr10422204(CaONFJC)MIL276072(EXLCZ)99249000000000191220100927d2010 uy 0engur|n|---|||||txtccrFixed points and economic equilibria[electronic resource] /Ken UraiHackensack, N.J. World Scientificc20101 online resource (312 p.)Series on mathematical economics and game theory ;v. 5Description based upon print version of record.981-283-718-3 Includes bibliographical references (p. 277-284) and index.Preface; Contents; 1 Introduction; 2 Fixed-Point Theorems; 3 Nash Equilibrium and Abstract Economy; 4 Gale-Nikaido-Debreu's Theorem; 5 General Economic Equilibrium; 6 The Cech Type Homology Theory and Fixed Points; 7 Convex Structure and Fixed-Point Index; 8 Applications to Related Topics; 9 Mathematics and Social Science; 10 Concluding Discussions; Mathematical Appendix I; Mathematical Appendix II; Mathematical Appendix III; References; IndexThis book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods. It describes the highest-level research on the classical theme, fixed points and economic equilibria, in the theory of mathematical economics, and also presents basic results in this area, especially in the general equilibrium theory and non-co-operative game theory. The arguments also contain distinguishable developments of the main theme in the homology theory for general topological spaces, in the model theory and mathematical logic, aSeries on mathematical economics and game theory ;v. 5.Equilibrium (Economics)Mathematical modelsFixed point theoryEquilibrium (Economics)Mathematical models.Fixed point theory.339.5515.7248Urai Ken1962-1515598MiAaPQMiAaPQMiAaPQBOOK9910780877203321Fixed points and economic equilibria3751440UNINA