Introducing Game Theory and its ApplicationsCRC Press, 2016 M02 3 - 272 páginas The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics. Most texts on the subject, however, are written at the graduate level for those with strong mathematics, economics, or business backgrounds. |
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... in evolutionary biology. We assume no previous acquaintance with the details of these subjects. Our treatment is intended to provide enough of the fundamental concepts and techniques of game theory to make it easier to understand Preface.
... in evolutionary biology. We assume no previous acquaintance with the details of these subjects. Our treatment is intended to provide enough of the fundamental concepts and techniques of game theory to make it easier to understand Preface.
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... assume any previous knowledge of economics. In recent years, game theory has also entered into diverse fields such as biology (evolutionary stability, RNA phage dynamics, viral latency, chromosome segregation subversion in sexual ...
... assume any previous knowledge of economics. In recent years, game theory has also entered into diverse fields such as biology (evolutionary stability, RNA phage dynamics, viral latency, chromosome segregation subversion in sexual ...
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... assumed to be an arrow directed downward.) If you are player A, what would you do on your first move? Until now, we have ignored a large class of important games, those that involve an element of chance. Card games like poker and casino ...
... assumed to be an arrow directed downward.) If you are player A, what would you do on your first move? Until now, we have ignored a large class of important games, those that involve an element of chance. Card games like poker and casino ...
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... non-corner square. By symmetry, we may assume that B moves into the top row: O X Player A quickly follows with: XO X B's next move is forced: O X O X O Player A then applies the coup de grace : XO. Chapter one: 13 Combinatorial games.
... non-corner square. By symmetry, we may assume that B moves into the top row: O X Player A quickly follows with: XO X B's next move is forced: O X O X O Player A then applies the coup de grace : XO. Chapter one: 13 Combinatorial games.
Contenido
1 | |
9 | |
Twoperson Zerosum Games | 53 |
The Simplex Method The Fundamental Theorem of Duality Solution of Twoperson Zerosum Games | 109 |
Nonzerosum Games and kPerson Games | 143 |
Finite Probability Theory | 207 |
Utility Theory | 219 |
Nashs Theorem | 223 |
Answers to Selected Exercises | 227 |
Bibliography | 247 |
Back Cover | 256 |
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alternately apply assigned assume basic point Black called canonical lpp choose collection column condition Consider consists constants constraints contains corresponding defined definition determined dominates draw entry equal equation equilibrium pair event Example Exercise expected fact fair Figure Find game matrix given graph Heads Hence imputation integer k-tuple least linear look loses matrix matrix games maximin Maximize maximum mean method Minimize mixed move Nash equilibrium non-losing strategy Note objective function obtain occurs optimal original outcomes pay-offs perfect pile pivot play player position possible prefers probability procedure proof pure random receive remove respect result saddle point segment Shapley value side Similarly simplex simplex method solution solve square standard sticks strategy for player tableau Theorem third two-person variables White winning strategy yields