#### Author:

Kim C. Border

#### Language:

#### Category:

#### Subcategory:

#### ePub size:

1259 kb

#### Other formats:

lrf mbr lrf mobi

#### Rating:

4.2

#### Publisher:

Cambridge University Press (April 26, 1985)

#### Pages:

140

#### ISBN:

0521265649

# Fixed Point Theorems with Applications to Economics and Game Theory e-book

#### by Kim C. Border

New minimax inequality with applications to existence theorems of equilibrium points.

New minimax inequality with applications to existence theorems of equilibrium points. Journal of Optimization Theory and Applications, Vol. 82, Issue. 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 analysi. t is a well written boo. he material is completed by well collected exercises at the end of every chapter.

The book cleanly separates the mathematical theory from the economic applications. Mathematicians, as well as economists, will value this book as a basic, helpful handbook on finite-dimensional fixed-point theorems. Perhaps the book's greatest strength is that the level of mathematical sophistication it requires is uniform throughout. Timothy J. Kehoe, Journal of Economic Literature.

Book by American Mathematical Society Short Course, Game Theory and its Applications (1979 : Biloxi. This book both summarizes the basic theory of evolutionary games and explains their developing. Materials for High Temperature Power Generation and Process Plant Applications. 59 MB·31,745 Downloads·New! and process plant applications presented at Materials Congress 98 Frontiers in Material Science and Technology. Living Well with Chronic Disease: A Call for Public Health Action. How to Write a Better Thesis. 84 MB·217,090 Downloads.

An introduction to fixed point theory, a body of mathematical techniques for proposing conditions under which sets of. .

An introduction to fixed point theory, a body of mathematical techniques for proposing conditions under which sets of assumptions (underlying economic models) have solutions. Lists with This Book. This book is not yet featured on Listopia.

Fixed point theorems are the basic mathematical tools used in showing the existence of solution concepts in game theory and economics. These notes are intended to be a nonintimidating intro duction to the subject of fixed point theory with particular emphasis on economic applications. While I have tried to integrate the mathematics and applications, these notes are not a comprehensive introduction to either general equilibrium theory or game theory

Special emphasis is given to economics and games in cases where the preferences of agents may not be transitive. He also proposes fresh results, notably in the last chapter, that refer to the core of a game without transitivity.

1987 ; Vol. 25. pp. 1870-1872. publisher "American Economic Association", } ty - jour. AU - Kehoe, Timothy J. PY - 1987.

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 generally in some state of equilibrium, it is asked under what circumstances such equilibrium is possible.

Fudenberg, Drew and Jean Tirole Game Theory, MIT Press Kakutani, S. A Generalization of Brouwer’s Fixed Point Theorem, Duke Mathematical Journal 8 : 457–459.

Fudenberg, Drew and Jean Tirole Game Theory, MIT Press. Green, Jerry R. and Walter P. Heller Mathematical Analysis and Convexity with Applications to Economics, in Handbook of Mathematical Economics, eds. Kenneth J. Arrow and Michael D. Intriligator, Vol. 1, North-Holland, pp. 15–52. Kakutani, S. Kreps, David M. Nash Equilibrium, in The New Palgrave: Game Theory, eds. John Eatwell, Murray Milgate, and Peter Newman, W. W. Norton, pp. 167–177. Game.