Last edited by Doushicage

Tuesday, May 12, 2020 | History

11 edition of **Fixed point theorems with applications to economics and game theory** found in the catalog.

- 85 Want to read
- 8 Currently reading

Published
**1985**
by Cambridge University Press in Cambridge [Cambridgeshire], New York
.

Written in English

- Fixed point theory.,
- Economics, Mathematical.,
- Game theory.

**Edition Notes**

Statement | Kim C. Border. |

Classifications | |
---|---|

LC Classifications | QA329.9 .B67 1985 |

The Physical Object | |

Pagination | viii, 129 p. : |

Number of Pages | 129 |

ID Numbers | |

Open Library | OL2857327M |

ISBN 10 | 0521265649 |

LC Control Number | 84019925 |

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. Fixed Point Theorems with Applications to Economics and Game Theory - by Kim C. Border April

ﬁxed points. Fixed Point Theorems with Applications to Economics and Game Theory by Border () and General Equilibrium Analysis: Existence and Optimality Properties of Equilibria by Florenzano () are complements, not substitutes, explaining various forms of the ﬁxed point principle such as the KKMS theorem and some of the many File Size: 5MB. Fixed Point Theorems with Applications to Economics and Game Theory by Kim C. Border Reviews-Bio-Summary-All Formats-Sale Prices for Fixed Point Theorems with Applications to Economics and Game Theory. ISBN: Lowest Book Prices!

This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory, nonlinear matrix equations, control theory, differential and integral equations, and. applications, especially during the last few decades. Most of these applications concern fixed point theory and game theory. The fixed point theorems are closely connected with convexity. In , John von Neumann found his celebrated minimax theorem [5] and, in , hisFile Size: KB.

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The same mathematical tools are useful in value theory and game theory, at least for proving the existence of equilibrium. This mono graph is not intended to be an introduction to either value theory or game theory, but rather an introduction to the mathematical tools of fixed point theorems and their applications to value theory and game Size: 3MB.

The fundamental mathematical tools used to address this concern are fixed point theorems: the conditions under which sets of assumptions have a solution. This book gives the reader access to the mathematical techniques involved and goes on to apply fixed point theorems to proving the existence of equilibria for economics and for co-operative Cited by: This book gives the reader access to the mathematical techniques involved and goes on to apply fixed point theorems to proving the existence of equilibria for economics and for co-operative and noncooperative games.

Special emphasis is given to economics and games in cases where the preferences of agents may not be by: FIXED POINT THEOREMS AND APPLICATIONS TO GAME THEORY 3 x0 x1 x 2 x0 x1 x Figure 1. A 2-simplex on the left and a closed 2-simplex on the right.

De nition An n-simplex is the set of all strictly positive convex combina-tions of an (n+1)-element a nely independent set. An n-simplex Twith a nely-independent vertices x0;;xn is de ned by T File Size: KB.

Fixed point theory is a fascinating subject, with an enormous number of applications in various ﬁelds of mathematics. Maybe due to this transversal character, I have always experienced some diﬃculties to ﬁnd a book (unless expressly devoted to ﬁxed points) treating the argument in a unitary fashion.

In most cases, I noticedFile Size: KB. 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 by: 8. - Buy Fixed Point Theorems with Applications to Economics and Game Theory book online at best prices in India on Read Fixed Point Theorems with Applications to Economics and Game Theory book reviews & author details and more at Free delivery on qualified orders.5/5(1).

fixed point theorems Download fixed point theorems or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get fixed point theorems book now. This site is like a library, Use search box in the widget to get ebook that you want.

The Kakutani fixed point theorem can be used to prove the minimax theorem in the theory of zero-sum application was specifically discussed by Kakutani's original paper. Mathematician John Nash used the Kakutani fixed point theorem to prove a major result in game theory.

Stated informally, the theorem implies the existence of a Nash equilibrium in every. fixed point theory and graph theory Download fixed point theory and graph theory or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get fixed point theory and graph theory book now.

This site is like a library, Use search box in the widget to get ebook that you want. Get this from a library. Fixed point theorems with applications to economics and game theory.

[Kim C Border] -- One of the problems in economics that economists have devoted a considerable amount of attention in prevalent years has been to ensure consistency in the models they employ.

Assuming markets to be. Fixed Point Theory and Applications is a peer-reviewed open access journal published under the brand SpringerOpen. -metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary fixed point techniques have been applied in such diverse fields as biology, chemistry, economics, engineering, game.

Fixed Point Theorems with Applications to Economics and Game Theory. Cambridge University Press. ISBN Kirk, William A.; Goebel, Kazimierz (). Topics in Metric Fixed Point Theory.

Cambridge University Press. ISBN Kirk, William A.; Khamsi, Mohamed A. An Introduction to Metric Spaces and Fixed Point Theory. Fixed Point Theorems with Applications to Economics and Game Theory by Kim C Border starting at $ Fixed Point Theorems with Applications to Economics and Game Theory has 2 available editions to buy at Half Price Books Marketplace.

Advanced Fixed Point Theory for Economics. Andrew McLennan Advanced Fixed Point Theory for Economics Andrew McLennan This is a book of mathematics for graduate students and researchers in theo- applications are covered, with the consequence that this book supports a course that. 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 Brand: Springer International Publishing.

'This book provides a clear exposition of the most important results and techniques of fixed point theory with applications to many areas of current interest in analysis It is a well written book the material is completed by well collected exercises at the end of every chapter.

Introduces all major topics in nonlinear analysis and fixed point theory in a systematic way; Discusses applications in fields ranging from engineering to space science, hydromechanics to astrophysics, chemistry to biology, theoretical mechanics to biomechanics, and economics to stochastic game theoryBrand: Springer Singapore.

This book gives the reader access to the mathematical techniques involved in fixed point theorems and goes on to apply these techniques to prove the existence of equilibria for economics and for cooperative and non-cooperativeKim C. is the author of 'Fixed Point Theorems With Applications to Economics and Game Theory' with ISBN.

Fixed Point Theorems 1 1 Overview De nition 1. Given a set Xand a function f: X!X, x 2Xis a xed point of fi f(x) = x. Many existence problems in economics { for example existence of competitive equilibrium in general equilibrium theory, existence of Nash in equilibrium in game theory { can be formulated as xed point problems.

For applications to economics and game theory see for example "Border, Kim C. Fixed point theorems with applications to economics and game theory. Cambridge University Press, Cambridge, " Cite. Applications to non-zero sum game theory and particularly the Nash equilibrium in economics - Kakutani Fixed Point Theorem.

Applications to geometry and topology of manifolds - Atiyah-Bott Fixed.Brouwer Fixed-Point Theorem with several examples of important applications of this theory in human affairs, including the identification of an optimal Earth-to-Moon trajectory for space travel.