【摘要】：層次結(jié)構(gòu)是比聯(lián)盟結(jié)構(gòu)更一般化的結(jié)盟限制形式.文章給出了帶層次結(jié)構(gòu)效用可轉(zhuǎn)移合作對策collective值的兩種定義.第一種類似于帶層次結(jié)構(gòu)效用可轉(zhuǎn)移合作對策的ζ值,從多步分配的角度定義了collective值;第二種類似于帶圖結(jié)構(gòu)效用可轉(zhuǎn)移合作對策的Myerson值,從交流限制的角度定義了collective值.文中證明了這兩種定義是等價的,并給出了collective值的一個公理化刻畫.研究結(jié)果豐富了帶層次結(jié)構(gòu)效用可轉(zhuǎn)移合作對策的解概念,可為研究其它帶結(jié)盟限制效用可轉(zhuǎn)移合作對策的值函數(shù)提供借鑒.
[Abstract]:Hierarchical structure is a more general form of alliance restriction than alliance structure. In this paper, two definitions of collectivity value for hierarchical utility transferable cooperative game are given. The first is similar to the Zeta value with hierarchical utility transferable cooperative game, and the collectivity value is defined from the point of view of multi-step allocation, and the second is similar to the Myerson value of the transitive cooperative game with graph structure, which defines collectivity value from the point of view of communication restriction. In this paper, it is proved that the two definitions are equivalent, and an axiomatic characterization of collectivity value is given. The results enrich the concept of solution of hierarchical utility transferable cooperative game, which can be used for reference to study the value function of other limited utility transferable cooperative games with alliance.
【作者單位】： 福州大學(xué)經(jīng)濟(jì)與管理學(xué)院;
【基金】：國家自然科學(xué)基金(71231003,71572040,71561008) 福建省社會科學(xué)規(guī)劃項目(FJ2015C230)資助課題
【分類號】：O225

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