合作博弈的比例分离解及其在区域经济一体化中的应用
The Proportional Split-Off Solution for Cooperative Games and Application in Regional Economic Integration
查看参考文献14篇
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文摘
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文章对合作博弈理论进行了研究,结合比例分配以及联盟形成过程,提出了比例分离解的概念.该解首先利用给定权重,基于回报率递减划分大联盟,得到了大联盟的适配划分,随后由适配划分确定的加入顺序对划分联盟的边际贡献按比例分配.然后,基于最高回报一致性对比例分离解的公理刻画进行了研究,得到了3个刻画定理.最后,将新的解概念应用到区域经济一体化问题中,建立了经济协同博弈模型,并以长三角地区为例,分析了该区域经济协同发展的贡献情况和发展规划. |
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其他语种文摘
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This paper studies cooperative games and provides a new solution concept called proportional split-off solution based on proportional rule and the forming procedure for a coalition. By applying a given weighted vector and based on decrease of profits, a suitable distributed partition of the grand coalition is obtained. And then, depending on coalitions' ordering in partition, the marginal contribution of the coalitions is determined by using proportional rule. Later on, three axiomatizations of the proportional split-off solution are proposed by adopting consistency. Finally, application of the new solution is studied on the regional economic situation. By building a synergy game, we analyze the contributions and program of the regional economic synergistic development in Yangtze River Delta. |
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来源
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系统科学与数学
,2022,42(4):791-801 【核心库】
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DOI
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10.12341/jssms20548T
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关键词
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合作博弈
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比例分离解
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公理刻画
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区域经济
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地址
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上海理工大学管理学院, 上海, 200093
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-0577 |
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学科
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社会科学总论 |
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基金
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国家自然科学基金
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上海市哲学社会科学规划项目
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文献收藏号
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CSCD:7218199
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参考文献 共
14
共1页
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1.
Gillies D.
Some Theorems on n-Person Games,1953
|
CSCD被引
1
次
|
|
|
|
|
2.
Bondareva O N. Some applications of the methods of linear programing to the theory of cooperative games.
Problemy Kibernet,1963,10:119-139
|
CSCD被引
1
次
|
|
|
|
|
3.
Shapley L S. On balanced sets and cores.
Naval Research Logistics Quarterly,1967,14:453-460
|
CSCD被引
20
次
|
|
|
|
|
4.
Shapley L S. A value for n-person games.
Annals of the Institue of Statistical Mathematics,1953,28:307-317
|
CSCD被引
1
次
|
|
|
|
|
5.
Beal S. Characterizations of weighted and equal division values.
Theory and Decision,2016,80(4):649-667
|
CSCD被引
1
次
|
|
|
|
|
6.
Thomson W. A new characterization of the proportional rule for claims problems.
Economics Letters,2016,145:255-257
|
CSCD被引
1
次
|
|
|
|
|
7.
Bergantinos G. The proportional rule for problems with constraints and claims.
Mathematical Social Sciences,2002,43(2):225-249
|
CSCD被引
1
次
|
|
|
|
|
8.
van den Brink R. The average tree permission value for games with a permission tree.
Economic Theory,2015,58(1):99-123
|
CSCD被引
8
次
|
|
|
|
|
9.
Shan E. The degree value for games with communication structure.
International Journal of Game Theory,2018,47(3):857-871
|
CSCD被引
6
次
|
|
|
|
|
10.
Dutta B. A concept of egalitarianism under partition constraints.
Econometrica,1989,57(3):615-635
|
CSCD被引
3
次
|
|
|
|
|
11.
Branzei R. The equal split-off set for cooperative games.
Banach Center Publications,2006,71:39-46
|
CSCD被引
1
次
|
|
|
|
|
12.
Dietzenbacher B. Consistency of the equal split-off set.
International Journal of Game Theory,2021,50(1):1-22
|
CSCD被引
1
次
|
|
|
|
|
13.
吴常艳. 长江经济带经济联系空间格局及其经济一体化趋势.
经济地理,2017,37:71-78
|
CSCD被引
27
次
|
|
|
|
|
14.
刘志彪. 长三角区域一体化发展特征、问题及基本策略.
安徽大学学报(哲学社会科学版),2019,3:137-147
|
CSCD被引
1
次
|
|
|
|
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