## Contributions to the Theory of Games, Volume 1 |

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### Contents

The Elementary Theory of Convex Polyhedra | 3 |

Elementary Proof of a Minimax Theorem due to von Neumann | 19 |

Basic Solutions of Discrete Games | 27 |

12 other sections not shown

### Other editions - View all

Contributions to the Theory of Games (AM-24) Harold William Kuhn,Albert William Tucker Limited preview - 2016 |

Contributions to the Theory of Games (AM-28) Harold William Kuhn,Albert William Tucker Limited preview - 2016 |

Contributions to the Theory of Games, Volume 1 Harold William Kuhn,Albert William Tucker Limited preview - 1950 |

### Common terms and phrases

1)-dimensional ANNALS OF MATHEMATICS Banach space basic solution behavior Bohnenblust bounding face coefficients columns compact completely mixed condition contains convergence convex closure convex cone convex polyhedron 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 holds hyperplane hypothesis implies imputation inequalities infinite games intersection isomorphic Karlin kernel Kuhn Lemma linearly independent Morgenstern n game Neumann non-negative obtained optimal mixed strategies optimal strategies payoff payoff matrix plane play player polyhedral cone polynomial game positive PROOF pure strategies real number respectively rows S-equivalent satisfies sequence sets of optimal Shapley simplex skew-symmetric matrix strategic equivalence strategies X submatrix subset supporting hyperplane symmetric game theory of games topology Tucker two-person games vectors Wald weakly y-player zero zero-sum