## Contributions to the Theory of Games, Volume 4The description for this book, Contributions to the Theory of Games (AM-40), Volume IV, will be forthcoming. |

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### Contents

III | 13 |

IV | 43 |

V | 47 |

VI | 87 |

VII | 95 |

VIII | 111 |

IX | 125 |

X | 145 |

XIV | 213 |

XV | 247 |

XVI | 267 |

XVII | 279 |

XVIII | 287 |

XIX | 325 |

XX | 357 |

XXI | 397 |

### Common terms and phrases

A-stable absolute game atomic game Axiom bargaining c-strategy vector characteristic function components comprehensive strategies conforming imputation constant-sum game contains convex convex combination cooperative games core corresponding defined definition denote disjoint dominated Econometrica effective element equations equilibrium exists extreme games five-person follows game G game theory game with three given Hence heresy implies inequalities intermediate coalitions Lemma linear programming main simple majority game Math Mathematics maximal minimal winning set minimax n-person games Naval Res obtain Oskar Morgenstern paper payoff vector play policing imputations possible Princeton problem Proc PROOF prospect space satisfy self-policing pattern set of imputations Shapley Shapley value simple games simple solution simple vector stable set Stat strong solution subset superadditive Suppose symmetric symmetric game syndicate THEOREM Theory of Games three values three-person tion transferable utility two-player unique utility vector vital set weak top winning coalitions zero-sum