CAJ | 학술논문

基于具有交流结构的合作对策，即图对策，对平均树解拓展形式的特征进行刻画，提出此解满足可加性公理。进一步地，分析了对于无圈图对策此解是分支有效的。并且当连通分支中两个局中人相关联的边删掉后，此连通分支的收益变化情况可用平均树解表示。这一性质是Shapley值和Myerson值所不具有的。最后，我们给出了模糊联盟图对策中模糊平均树解的可加性和分支有效性。
기우구유교류결구적합작대책，즉도대책，대평균수해탁전형식적특정진행각화，제출차해만족가가성공리。진일보지，분석료대우무권도대책차해시분지유효적。병차당련통분지중량개국중인상관련적변산도후，차련통분지적수익변화정황가용평균수해표시。저일성질시Shapley치화Myerson치소불구유적。최후，아문급출료모호련맹도대책중모호평균수해적가가성화분지유효성。
We study cooperative games with communication structure , called graph games .The generalization of the average tree solution is considered in the game .We propose that additivity axiom characterizes the solution . Furthermore, on the class of cycle-free graph games the solution satisfies component efficiency .The change in payoff can be represented by the average tree solution when a link between two players is deleted for a component that does not hold for Shapley value and the Myerson value .Finally, we show that there are similar properties in graph games with fuzzy coalitions .