Advanced Fixed Point Theory for Economics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advanced Fixed Point Theory for Economics write by Andrew McLennan. This book was released on 2018-07-03. Advanced Fixed Point Theory for Economics available in PDF, EPUB and Kindle. This 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.
Fixed Point Theorems with Applications to Economics and Game Theory
Fixed Point Theorems with Applications to Economics and Game Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fixed Point Theorems with Applications to Economics and Game Theory write by Kim C. Border. This book was released on 1985. Fixed Point Theorems with Applications to Economics and Game Theory available in PDF, EPUB and Kindle. This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.
Fixed Points And Economic Equilibria
Fixed Points And Economic Equilibria - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fixed Points And Economic Equilibria write by Ken Urai. This book was released on 2010-05-13. Fixed Points And Economic Equilibria available in PDF, EPUB and Kindle. This 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, and in the methodology and philosophy of social sciences. It can thus serve as a graduate-level textbook on mathematical economics as well as an advanced monograph for students and researchers who are concerned about rigorous mathematical treatment in the social sciences.
Fixed Point Theory in Ordered Sets and Applications
Fixed Point Theory in Ordered Sets and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fixed Point Theory in Ordered Sets and Applications write by Siegfried Carl. This book was released on 2010-11-17. Fixed Point Theory in Ordered Sets and Applications available in PDF, EPUB and Kindle. This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given an appendix chapter to make the book self-contained. Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.
Fixed Point Theorems and Applications
Fixed Point Theorems and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fixed Point Theorems and Applications write by Vittorino Pata. This book was released on 2019-09-22. Fixed Point Theorems and Applications available in PDF, EPUB and Kindle. This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ranging from ordinary differential equations in Banach spaces, to partial differential equations, operator theory, functional analysis, measure theory, and game theory. A final section containing 50 problems, many of which include helpful hints, rounds out the coverage. Intended for Master’s and PhD students in Mathematics or, more generally, mathematically oriented subjects, the book is designed to be largely self-contained, although some mathematical background is needed: readers should be familiar with measure theory, Banach and Hilbert spaces, locally convex topological vector spaces and, in general, with linear functional analysis.
