团结值的新刻画及其在联盟收益分配中的应用  

New axiomatizations of the solidarity value and its application in the distribution of coalition benefits

作　　者：单而芳[1,2] 刘涛 吕文蓉 SHAN Erfang;LIU Tao;LÜWenrong(School of Management,Shanghai University,Shanghai 200444,China;Department of Mathematics,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学管理学院,上海200444 [2]上海大学数学系,上海200444

出　　处：《系统工程理论与实践》2023年第11期3230-3240,共11页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(72371151)。

摘　　要：团结值作为合作博弈中兼具公平性和团结性的一个分配规则,可为解决收益分配问题提供新思路.鉴于弱化后的公理意味着更大的适用范围,本研究在弱化得到符号平均收益相等性公理后,结合符号差异边际性给出了团结值的新刻画方法.此外,借助碳交易合作联盟收益分配算例对团结值的作用机理进行了讨论.研究发现:1)团结值可由有效性、符号平均收益相等性(或平均无效参与者性)以及符号差异边际性唯一刻画;2)当联盟中包含较强发展潜力的合作主体时,选用团结值指导收益分配或可最大化各方的总体效用.The solidarity value is a prominent value in the cooperative game with transferable utility,and plays an important role in solving the problem of benefits distribution,as it reflects both fairness and solidarity.We discuss axiomatizations of the solidarity value by the sign differential marginality axiom,together with the weakened equal average gains axiom(called sign equal average gains).Meanwhile,a case of revenue sharing in the carbon trading alliance is discussed,in order to show the mechanism of the solidarity value.We find that:1)the solidarity value can be characterized by efficiency,sign equal average gains(or average-null player property)and sign differential marginality;2)it is necessary to use the solidarity value to allocate benefits when there are a number of participants with strong development potential in the alliance.

关 键 词：合作博弈 团结值 公理化刻画 收益分配 碳交易 

分 类 号：F224.32[经济管理—国民经济]