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The lexicographic kernel of a game lexicographically maximizes the surplusses s ij (rather than the excesses as would … the nucleolus) and is contained in both the least core and the kernel. We show that an element in the lexicographic kernel … determine a kernel element without appealing to Maschler transfers in the execution of the algorithm. Copyright Springer …
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It is well-known that the prekernel on the class of TU games is uniquely determined by non-emptiness, Pareto efficiency (EFF), covariance under strategic equivalence (COV), the equal treatment property, the reduced game property (RGP), and its converse. We show that the prekernel on the class of...
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-dimensional curves or two- or three-dimensional images). One popular general approach is based on the kernel-based method, proposed by …
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In this article a new value for positive cooperative games is introduced. It generalizes the “proportional division of surplus” idea for two person games. A characterization by means of preservation of ratios and efficiency provides existence and uniqueness. Moreover, this value is the only...
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