Cooperative Non-sidepayment Games: Extensions of Sidepayment Game Solutions, Metrics, and Representative Functions |
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¹eg(x Assume coalition ordering compact and nonempty complete metric space computing the nucleolus consisting of finitely contradiction convex sets convex subsets cooperative games Corollary decreasingly ordered excesses Definition denote distinct players e-core equicontinuity excess functions finitely generated games game defined game type set game type subset game under consideration games imply given game Hausdorff distance Hausdorff metric hence hyperplane kernel Lemma lexicographical minimality lexicographically less Mathematics max(x² non-sidepayment games payment games points in N(0 positive real number preference relations Proof properties proposition 4.2 representative function Se2N sequence of games set valued function sidepayment games solution concept SP games space of games subsets of RK superadditive support function theorems upper boundedness V₁ vector x,ye Xe core xex³ xexs y(x³