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Annals assuming Axioms b₁ bargaining set bimatrix characteristic function chooses clear coalition structure column commodity Consider the game constant-sum constraint set continuous converge convex hull convex set core counter-objection defined Definition dF(x dominated dual entry equations equilibrium n-tuple equilibrium pairs Example exist expected payoff fact finite games finite number game element GAME THEORY give given Hence imputation infeasible information set integral interval kernel Lemma linear program lottery matrix game Maximize minimal minimax theorem mixed strategies Moreover n-person game n₁ non-negative objective function obtain optimal strategies pivot play positive possible problem proof pure strategies recursive game s₁ saddle point satisfying sequence Shapley value Show side payments Similarly simplex simplex algorithm solve stable set solution stochastic game strategies x subset symmetric symmetric games tableau terminal threat strategies two-person V₁ v₂ variables vector vertex winning coalition x₁ xAyt zero zero-sum