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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... nonnegative pay-off, no matter what the player's opponents do. Similarly, a strategy is said to be a winning strategy if the player following that strategy always receives a positive pay-off, no matter what the player's opponents do. In ...
... nonnegative pay-off, no matter what the player's opponents do. Similarly, a strategy is said to be a winning strategy if the player following that strategy always receives a positive pay-off, no matter what the player's opponents do. In ...
Página 15
... nonnegative pay-off. But then, for that player, position our original P 1 would automatically be a non-losing position, contradicting assumption. 2 Second, if all of the moves open to player A at position P 1 led to non-losing positions ...
... nonnegative pay-off. But then, for that player, position our original P 1 would automatically be a non-losing position, contradicting assumption. 2 Second, if all of the moves open to player A at position P 1 led to non-losing positions ...
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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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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