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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... casino games like roulette or craps always depend on the outcomes of uncertain events, like a spin of a dial or a roulette wheel or the throw of a pair of dice. In order A 1 2 B B 1 2 1 2 A 2 Introducing Game Theory and Its Applications.
... casino games like roulette or craps always depend on the outcomes of uncertain events, like a spin of a dial or a roulette wheel or the throw of a pair of dice. In order A 1 2 B B 1 2 1 2 A 2 Introducing Game Theory and Its Applications.
... outcome of such a game depends only on the choices made by the players themselves and involves no element of chance. Chess, checkers, and Tic-Tac-Toe are examples of deterministic games. A very simple example of a two-person ...
... outcome of every possible move is known to all the players, the game is called a game with perfect information . Chess, checkers, and Tic-Tac-Toe are examples of games with perfect information. An example of a game without perfect ...
... outcomes are determined; the players could leave the actual performance of the moves to assistants or to machines. For almost all games, there are so many strategies that the description of all of them is a practical impossibility. In ...
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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