| Description |
259 pages : illustrations ; 25 cm. |
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text txt rdacontent |
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unmediated n rdamedia |
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volume nc rdacarrier |
| Series |
Discrete mathematics and its applications |
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Discrete mathematics and its applications.
|
| Bibliography |
Includes bibliographical references (pages 247-254) and index. |
| Contents |
Combinatorial games -- The fundamental theorem for combinatorial games -- Nim -- Hex and other games -- Tree games -- Grundy functions -- Bogus Nim-sums -- Two-person zero-sum games -- Games in normal form -- Saddle points and equilibrium pairs -- Maximin and minimax -- Mixed strategies -- 2 x 2 matrix games -- 2 x n, m x 2, and 3 x 3 matrix games -- Linear programming -- The simplex method. The fundamental theorem of duality. Solution of two-person zero-sum games -- Slack variables. Perfect canonical linear programming problems -- The simplex method -- Pivoting -- The perfect phase of the simplex method -- The Big M method -- Bland's rules to prevent cycling -- Duality and the simplex method -- Solution of game matrices -- Non-zero-sum games and k-person games -- The general setting -- Nash equilibria -- Graphical method for finding Nash equilibria for 2 x 2 matrices -- Inadequacies of Nash equilibria in non-zero sum games -- The Nash arbitration procedure -- Games with two or more players -- Coalitions -- Games in coalition form -- The Shapley value -- Imputations -- Strategic equivalence -- Stable sets -- Finite probability theory -- Utility theory -- Nash's theorem. |
| Summary |
"Introducing Game Theory and its Applications presents an introduction to the basic ideas and techniques of game theory. This book prepares its readers for more advanced study of game theory's applications in economics, business, and the physical, biological, and social sciences."--Jacket. |
| Subject |
Game theory.
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Game theory. (OCoLC)fst00937501
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| ISBN |
1584883006 (acid-free paper) |
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9781584883005 (acid-free paper) |
| Standard No. |
9781584883005 |
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