Lecturer: Xu Genjiu
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.
About the Lecturer:
Xu Genjiu, "Aoxiang Distinguished Young Scholar", Professor and Doctoral Supervisor of Northwestern Polytechnical University, Director of "Network Optimization and Economic Decision" International Joint Research Center, with his main research areas including characterization and mechanism design of cooperative solution, game theory and intelligent decision-making of unmanned system; took the lead in 6 projects funded by the National Natural Science Foundation of China, 2 Major Special Projects of Military Intelligence Technology and Projects of the National Defense Science and Technology Special Innovation Zone, with his research results published in academic journals such as International Journal of Game Theory, European Journal of Operational Research, Journal of Optimization Theory and Applications, Economic Theory, awarded with the First Prize of National Teaching Achievements and the First Prize for the Science and Technology Award in Universities of Shaanxi Province.
Xu Jin Associate Professor from School of Mathematics
19:00-20:00, November 5 (Friday)
Tencent Meeting ID: 405 405 185
Hosted by: School of Mathematics, Shandong University