Speaker:Xu Genjiu, Professor,SchoolofMathematicsandStatistics, Northwestern Polytechnical University.

Date:November. 5, 2021

Time:19:00-20:00

Location:Tencent Meeting, ID: 405 405 185

Sponsor:School of Mathematics, Shandong University

Abstract:

A so-called self-associated game is introduced for a solution of TU games. Every coalition can be viewed as a unified player and every coalition revalues its worth in terms of the marginal contribution of the unified player in the corresponding to coalition-contracted game. It generates the characteristic function of the self-associated game. A solution is self-associated consistent when it allocates to every player invariably in a game and its self-associated game. We show that the Shapley value is self-associated consistent and is also characterized as the unique solution for TU games satisfying the inessential game property, continuity and self-associated consistency. The characterization is obtained by applying the matrix approach as the pivotal technique for characterizing linear transformations on game space.

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