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The Resource Fixed point theorems with applications to economics and game theory, Kim C. Border

Fixed point theorems with applications to economics and game theory, Kim C. Border

Label
Fixed point theorems with applications to economics and game theory
Title
Fixed point theorems with applications to economics and game theory
Statement of responsibility
Kim C. Border
Creator
Subject
Language
eng
Summary
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. 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 and noncooperative games. Special emphasis is given to economics and games in cases where the preferences of agents may not be transitive. The author presents topical proofs of old results in order to further clarify the results. He also proposes fresh results, notably in the last chapter, that refer to the core of a game without transitivity. This book will be useful as a text or reference work for mathematical economists and graduate and advanced undergraduate students
Cataloging source
DLC
http://library.link/vocab/creatorName
Border, Kim C
Dewey number
515.7/248
Illustrations
illustrations
Index
index present
LC call number
QA329.9
LC item number
.B67 1985
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Fixed point theory
  • Economics, Mathematical
  • Game theory
  • Teoría de punto fijo
  • Economía matematica
  • Teoría de los juegos
  • Economie politique
  • Jeux, théorie des
  • Point fixe, Théorème du
  • Mathématiques économiques
  • Jeux, Théorie des
  • Economia matemática
  • Teoria dos jogos
Label
Fixed point theorems with applications to economics and game theory, Kim C. Border
Instantiates
Publication
Note
Includes index
Bibliography note
Bibliography: pages [122]-126
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction: models and mathematics -- Convexity -- Simplexes -- Sperner's lemma -- The Knaster-Kuratowski-Mazurkiewicz lemma -- Brouwer's fixed point theorem -- Maximization of binary relations -- Variational inequalities, price equilibrium, and complementarity -- Some interconnections -- What good is a completely labeled subsimplex -- Continuity of correspondences -- The maximum theorem -- Approximation of correspondences -- Selection theorems for correspondences -- Fixed point theorems for correspondences -- Sets with convex sections and a minimax theorem -- The Fan-Browder theorem -- Equilibrium of excess demand correspondences -- Nash equilibrium of games and abstract economies -- Walrasian equilibrium of an economy
Control code
11133342
Dimensions
24 cm
Extent
viii, 129 pages
Isbn
9780521265645
Isbn Type
(U.S.)
Lccn
84019925
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (WaOLN)723606
  • (OCoLC)11133342
Label
Fixed point theorems with applications to economics and game theory, Kim C. Border
Publication
Note
Includes index
Bibliography note
Bibliography: pages [122]-126
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction: models and mathematics -- Convexity -- Simplexes -- Sperner's lemma -- The Knaster-Kuratowski-Mazurkiewicz lemma -- Brouwer's fixed point theorem -- Maximization of binary relations -- Variational inequalities, price equilibrium, and complementarity -- Some interconnections -- What good is a completely labeled subsimplex -- Continuity of correspondences -- The maximum theorem -- Approximation of correspondences -- Selection theorems for correspondences -- Fixed point theorems for correspondences -- Sets with convex sections and a minimax theorem -- The Fan-Browder theorem -- Equilibrium of excess demand correspondences -- Nash equilibrium of games and abstract economies -- Walrasian equilibrium of an economy
Control code
11133342
Dimensions
24 cm
Extent
viii, 129 pages
Isbn
9780521265645
Isbn Type
(U.S.)
Lccn
84019925
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (WaOLN)723606
  • (OCoLC)11133342

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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