A Geometric Combinatorial Approach To Index And Stability In Bimatrix Games
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A Geometric Combinatorial Approach To Index And Stability In Bimatrix Games
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Author : Arndt Von Schemde
language : en
Publisher:
Release Date : 2004
A Geometric Combinatorial Approach To Index And Stability In Bimatrix Games written by Arndt Von Schemde and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Index And Stability In Bimatrix Games
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Author : H. Arndt von Schemde
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-11
Index And Stability In Bimatrix Games written by H. Arndt von Schemde and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-11 with Business & Economics categories.
The index of an equilibrium in a game gives information about the "stability" of the equilibrium, for example with respect to game dynamics. Unfortunately, index theory is often very technical. This book presents a new geometric construction that visualises the index in an intuitive way. For example, a 3A-n game, for any n, can be represented by a figure in the plane, from which one can read off any equilibrium, and its index as a geometric orientation. With this insight, the index can be characterised in strategic terms alone. Moreover, certain "hyperstable" equilibrium components are seen to have nonzero index. The construction gives an elementary proof that two-player games have a Nash equilibrium, and, in an unusual direction, the powerful fixed point theorem of Brouwer.
Index And Stability In Bimatrix Games
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Author : H. Arndt von Schemde
language : en
Publisher: Springer
Release Date : 2005-08-22
Index And Stability In Bimatrix Games written by H. Arndt von Schemde and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-22 with Business & Economics categories.
The index of an equilibrium in a game gives information about the "stability" of the equilibrium, for example with respect to game dynamics. Unfortunately, index theory is often very technical. This book presents a new geometric construction that visualises the index in an intuitive way. For example, a 3×n game, for any n, can be represented by a figure in the plane, from which one can read off any equilibrium, and its index as a geometric orientation. With this insight, the index can be characterised in strategic terms alone. Moreover, certain "hyperstable" equilibrium components are seen to have nonzero index. The construction gives an elementary proof that two-player games have a Nash equilibrium, and, in an unusual direction, the powerful fixed point theorem of Brouwer.
Index To Theses With Abstracts Accepted For Higher Degrees By The Universities Of Great Britain And Ireland And The Council For National Academic Awards
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Author :
language : en
Publisher:
Release Date : 2006
Index To Theses With Abstracts Accepted For Higher Degrees By The Universities Of Great Britain And Ireland And The Council For National Academic Awards written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Dissertations, Academic categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2005
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Deutsche Nationalbibliografie
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Author : Die deutsche Nationalbibliothek
language : de
Publisher:
Release Date : 2005
Deutsche Nationalbibliografie written by Die deutsche Nationalbibliothek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1988
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mechanics, Applied categories.
The Linear Complementarity Problem
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Author : Richard W. Cottle
language : en
Publisher: SIAM
Release Date : 2009-08-27
The Linear Complementarity Problem written by Richard W. Cottle and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-27 with Mathematics categories.
A revised edition of the standard reference on the linear complementarity problem.
Linear Programming
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Author : Robert J. Vanderbei
language : en
Publisher: Springer Nature
Release Date : 2020-04-25
Linear Programming written by Robert J. Vanderbei and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-25 with Business & Economics categories.
The book provides a broad introduction to both the theory and the application of optimization with a special emphasis on the elegance, importance, and usefulness of the parametric self-dual simplex method. The book assumes that a problem in “standard form,” is a problem with inequality constraints and nonnegative variables. The main new innovation to the book is the use of clickable links to the (newly updated) online app to help students do the trivial but tedious arithmetic when solving optimization problems. The latest edition now includes: a discussion of modern Machine Learning applications, as motivational material; a section explaining Gomory Cuts and an application of integer programming to solve Sudoku problems. Readers will discover a host of practical business applications as well as non-business applications. Topics are clearly developed with many numerical examples worked out in detail. Specific examples and concrete algorithms precede more abstract topics. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered, including the two-phase simplex method, the primal-dual simplex method, the path-following interior-point method, and and the homogeneous self-dual method. In addition, the author provides online tools that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and online pivot tools can be found on the book's website. The website also includes new online instructional tools and exercises.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1967
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics categories.