کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
476936 | 1446093 | 2011 | 6 صفحه PDF | دانلود رایگان |
An extension to the classical notion of core is the notion of k-additive core, that is, the set of k-additive games which dominate a given game, where a k-additive game has its Möbius transform (or Harsanyi dividends) vanishing for subsets of more than k elements. Therefore, the 1-additive core coincides with the classical core. The advantages of the k-additive core is that it is never empty once k ⩾ 2, and that it preserves the idea of coalitional rationality. However, it produces k-imputations, that is, imputations on individuals and coalitions of at most k individuals, instead of a classical imputation. Therefore one needs to derive a classical imputation from a k-order imputation by a so-called sharing rule. The paper investigates what set of imputations the k-additive core can produce from a given sharing rule.
► The k-additive core is never empty once k ⩾ 2, and it preserves the idea of coalitional rationality.
► It produces k-imputations, which have to be transformed into imputations by a sharing rule.
► Under certain conditions on the sharing rule, any imputation can be attained from any k-imputation.
Journal: European Journal of Operational Research - Volume 214, Issue 3, 1 November 2011, Pages 697–702