Game TheoryDefinition of a game; Two-person zero-sum games; Linear programming; Infinite games; Multistage games; Utility theory; Two-person general-sum games; n-Person games; Stable sets; Indices of power; The bargaining set and related concepts; Nonatomic games; Games without side payments. |
Contents
TWOPERSON ZEROSUM GAMES | 10 |
LINEAR PROGRAMMING | 34 |
INFINITE GAMES | 63 |
Copyright | |
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a₁ Annals 24 assume axioms B₁ balancing vector Banzhaf-Coleman index bargaining set characteristic function choose column commodity consider constant-sum game constraint set convex convex set counterobjection defined Definition domination e(Sk entry equations equilibrium n-tuple equilibrium pairs Example exists fact finite number game element Game Theory give given Hence imputation kernel Lemma linear program matrix game Maximize minimal balanced collections minimax theorem mixed strategies Moreover multilinear n-person game n-tuple nonnegative normalization nucleolus obtain optimal strategies Pareto-optimal pivot player set possible primitive set problem Proof prove pure strategies S₁ saddle point satisfying sequence Shapley value Show side payments simple game space stable set stable set solution stochastic game subset superadditivity symmetric tableau three-person game two-person unique utility v₁ v₂ variables vertex w₁ winning coalition x₁ y₁ zero