LEADER 03351nam 22004575 450 001 9910349470903321 005 20200704005418.0 010 $a9789811307102 010 $a981-13-0710-5 024 7 $a10.1007/978-981-13-0710-2 035 $a(CKB)4100000009757174 035 $a(MiAaPQ)EBC5446651 035 $a(DE-He213)978-981-13-0710-2 035 $a(EXLCZ)994100000009757174 100 $a20180703d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvanced Fixed Point Theory for Economics /$fby Andrew McLennan 205 $a1st ed. 2018. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018. 215 $a1 online resource (XX, 432 p. 18 illus.) 311 $a981-13-0709-1 327 $aChapter 1 Introduction and Summary -- Part I Topological Methods -- Chapter 2 Planes, Polyhedra, and Polytopes -- Chapter 3 Computing Fixed Points -- Chapter 4 Topologies on Spaces of Sets -- Chapter 5 Topologies on Functions and Correspondences -- Chapter 6 Metric Space Theory -- Chapter 7 Retracts -- Chapter 8 Essential Sets of Fixed Points -- Chapter 9 Approximation of Correspondences -- Part II Smooth Methods -- Chapter 10 Differentiable Manifolds -- Chapter 11 Sard?s Theorem -- Chapter 12 Degree Theory -- Chapter 13 The Fixed Point Index -- Part III Applications and Extensions -- Chapter 14 Topological Consequences -- Chapter 15 Vector Fields and their Equilibria. 330 $aThis book develops the central aspect of fixed point theory ? the topological fixed point index ? to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implications for dynamical systems. The book assumes the reader has no mathematical knowledge beyond that which is familiar to all theoretical economists. In addition to making the material available to a broad audience, avoiding algebraic topology results in more geometric and intuitive proofs. Graduate students and researchers in economics, and related fields in mathematics and computer science, will benefit from this book, both as a useful reference and as a well-written rigorous exposition of foundational mathematics. Numerous problems sketch key results from a wide variety of topics in theoretical economics, making the book an outstanding text for advanced graduate courses in economics and related disciplines. 606 $aEconomics 606 $aGame theory 606 $aEconomic Theory/Quantitative Economics/Mathematical Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/W29000 606 $aGame Theory, Economics, Social and Behav. Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13011 615 0$aEconomics. 615 0$aGame theory. 615 14$aEconomic Theory/Quantitative Economics/Mathematical Methods. 615 24$aGame Theory, Economics, Social and Behav. Sciences. 676 $a330.1 700 $aMcLennan$b Andrew$4aut$4http://id.loc.gov/vocabulary/relators/aut$01057912 906 $aBOOK 912 $a9910349470903321 996 $aAdvanced Fixed Point Theory for Economics$92495431 997 $aUNINA LEADER 00943nam0-2200277 --450 001 9911043426203321 005 20251203102525.0 100 $a20251203d1970----kmuy0itay5050 ba 101 $aita 102 $aIT 105 $a 001yy 200 1 $aDagli organismi pubblici internazionali funzionali alla società per azioni europea$ele singole tecniche e i modelli uniformi di costituzione$fMaria Pia Salini 210 $a[Milano!$cCIRIEC$dstampa 1970 215 $a228 p.$d30 cm 225 1 $aCollana di studi e monografie$v43 300 $aEd. f. c . 610 0 $aEconomia 610 0 $aOrganizzazioni internazionali 700 1$aSalini,$bMaria Pia$01858164 801 0$aIT$bUNINA$gREICAT$2UNIMARC 901 $aBK 912 $a9911043426203321 952 $aF ECO 436$b02/0588/25$fFAGBC 959 $aFAGBC 996 $aDagli organismi pubblici internazionali funzionali alla società per azioni europea$94459998 997 $aUNINA