Dissertation > Mathematical sciences and chemical > Mathematics > Operations Research > Game theory ( game theory )

Construction and Countermeasures model of the solution of the cooperative game under the new guidelines for the optimal

Author QiaoZuo
Tutor TianZhiYuan
School Qingdao University
Course Basic mathematics
Keywords NTU countermeasures Weakly dominant Union Split Joint response PGN vector
CLC O225
Type Master's thesis
Year 2005
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This paper is divided into three chapters . Chapter for non-transferable classic static cooperative game utility countermeasures (NTU countermeasures ) to establish the concept of weakly dominant weakly stable set refining payment NTU countermeasures core , and all can not be weak excellent ultra- paid collection of all core weakly stable set of three . Chapters II and III in the limited extended countermeasures on the basis of complete information . The players to maintain their own interests of the alliance for a code of conduct , and that is to take the strategy to make it in the total receipts of the Union . The definition of a non-cooperative Nash equilibrium optimal reaction , and the principle of the establishment of the characteristic function , in the case of the players on the requirements of individual rationality can not be guaranteed by Nuclear (Nucleolus) create a dynamic optimal countermeasures in solution , given the optimal solution and the optimal path algorithm . The second chapter of the specific research limited dynamic cooperative game with complete information and changes in coalition structure . For randomly changing the dynamic response of the Union split on a finite number of nodes in the countermeasures tree given its dynamic optimal solution the PGN vector , and gives the algorithm for optimal path through the introduction of a new characteristic function and optimal criteria . Chapter specific research limited expansion joint response with full information . For the formation of the first stage began in countermeasures Union split process all possible joint response to construct optimal coalition split . By introducing a new characteristic function and optimal criteria , to establish dynamic optimal solution the PGN vector , given the optimal path algorithm .

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