## Contributions to the Theory of Games, Volume 1Harold William Kuhn, Albert William Tucker The description for this book, Contributions to the Theory of Games (AM-24), Volume I, will be forthcoming. |

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### Contents

II | 3 |

III | 19 |

IV | 27 |

V | 37 |

VI | 51 |

VII | 73 |

VIII | 81 |

IX | 89 |

X | 97 |

XI | 105 |

XII | 117 |

XIII | 133 |

XIV | 155 |

XV | 161 |

XVI | 181 |

XVII | 194 |

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### Common terms and phrases

ANNALS OF MATHEMATICS Banach space basic solution Bohnenblust boundary coefficients columns compact completely mixed condition contains convex closure convex cone convex polyhedra convex set COROLLARY corresponding Cowles Commission defined definition denote dimension dimensional distributions elements equations essential game exists extreme solutions extreme support finite number follows functions fundamental theorem Gale game in reduced game matrix given halfspace hence hypothesis implies imputation infinite games intersection isomorphic Karlin kernel Kuhn Lemma moment spaces MORGENSTERN n game Neumann obtained optimal mixed strategies optimal strategies payoff payoff matrix plane play player Poker polyhedra polyhedral cone polyhedron polynomial game positive Princeton PROOF pure strategies real number rows S-equivalent satisfies sequence sets of optimal Shapley simplex skew-symmetric matrix strategic equivalence strategies X submatrix subset sup f supporting hyperplane symmetric game theory of games topology Tucker two-person games vectors Wald weakly y-player zero zero-sum