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### 合作博弈的比例分离解及其在区域经济一体化中的应用

1. 上海理工大学管理学院 上海 200093
• 收稿日期:2020-12-31 修回日期:2021-04-29 出版日期:2022-04-25 发布日期:2022-06-18
• 通讯作者: 张广,Email:g.zhang@usst.edu.cn.
• 基金资助:
国家自然科学基金(71901145),上海市哲学社会科学规划课题(2019EGL010)资助课题.

ZHANG Guang, HE Nan. The Proportional Split-Off Solution for Cooperative Games and Application in Regional Economic Integration[J]. Journal of Systems Science and Mathematical Sciences, 2022, 42(4): 791-801.

### The Proportional Split-Off Solution for Cooperative Games and Application in Regional Economic Integration

ZHANG Guang, HE Nan

1. Business School, University of Shanghai for Science and Technology, Shanghai 200093
• Received:2020-12-31 Revised:2021-04-29 Online:2022-04-25 Published:2022-06-18
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.

MR(2010)主题分类:

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