关于k-可加核诱导的归算集
On the set of imputations induced by the k-additive core
摘要：
经典核心概念的一个扩展是$k$ -加法核心的概念，即支配给定博弈的$k$ -加法博弈的集合，其中$k$ -加法博弈的莫比乌斯变换（或哈桑尼红利）对于多于$k$元素的子集为零。因此，1-可加核与经典核重合。$k$ -可加核心的优点在于它一旦$k\geq 2$就永远不会空，并且它保留了联盟理性的思想。然而，它产生$k$ -插补，即对至多$k$个体的个体和联合的插补，而不是经典插补。因此，需要通过所谓的共享规则从$k$阶插补导出经典插补。本文研究了什么样的一组归咎的$k$ -添加剂核心可以产生一个给定的共享规则。
英文摘要：
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 $k\geq 2$, and that it preserves the idea of coalitional rationality. However, it produces $k$-imputations, that is, imputations on individuals and coalitions of at most $k$ inidividuals, 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
