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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Página 3
... choose one move if the coin shows a Head and another move if the coin shows a Tail. A position that assigns probabilities to the various possible moves from that position is called a random position and a move from such a position is ...
... choose one move if the coin shows a Head and another move if the coin shows a Tail. A position that assigns probabilities to the various possible moves from that position is called a random position and a move from such a position is ...
Página 5
... choose their strategies, the course of the game and its 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 ...
... choose their strategies, the course of the game and its 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 ...
Página 10
... chooses one of the numbers 1 and 2, and then the game is over (without player B making any moves at all). A pays B one dollar if A has chosen 1, and A pays B two dollars if A has chosen 2. 4. Chess. Recall your childhood experience with ...
... chooses one of the numbers 1 and 2, and then the game is over (without player B making any moves at all). A pays B one dollar if A has chosen 1, and A pays B two dollars if A has chosen 2. 4. Chess. Recall your childhood experience with ...
Página 18
... choose in turn from these cards. A card, once chosen, cannot be chosen again. A winner is the. 3The symbol “o” stands for “open” and means that a solution is not known to the author. 2k + 2k−1 + 2. Now, subtracting the first equation 18 ...
... choose in turn from these cards. A card, once chosen, cannot be chosen again. A winner is the. 3The symbol “o” stands for “open” and means that a solution is not known to the author. 2k + 2k−1 + 2. Now, subtracting the first equation 18 ...
Página 19
... choose a word from the following list of nine words: pony, shin, easy, lust, peck, puma, jury, bred, warn. A player who is the first to have chosen three words having a letter in common wins. The same word cannot be chosen twice. 3 ...
... choose a word from the following list of nine words: pony, shin, easy, lust, peck, puma, jury, bred, warn. A player who is the first to have chosen three words having a letter in common wins. The same word cannot be chosen twice. 3 ...
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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Términos y frases comunes
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