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Cooperative side payment games
18 other sections not shown
arbitrary assume axioms bargaining solution binary relation called Chapter Clearly coalition compact compactly computation concave consider continuous function contradiction convex convex set core Corollary course Definition denotes the set differential equation differential game element equilibrium point equivalence classes Example extreme points finite follows Game Theory game tree given hence holds true implies induction inf sup interpretation Intuitively invariant under a.t.u. Lemma linear Lipschitz continuous mapping market game maximal means mixed strategies monotone Moreover Note obtain Obviously optimal strategies Pareto optimal Pareto surface payoff permutation invariant player preference proof of Theorem prove Recall Remark represented satisfies Section set functions Shapley value side payment games Similarly solution concept stable set Step subset sufficiently superadditive Suppose T-unanimous Theorem 6.4 threat point transfer value trivial uniquely defined utility function vector verify write yields