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一类基于进化博弈的多主多从Stackelberg对策算法
引用本文:田厚平,郭亚军,王学军.一类基于进化博弈的多主多从Stackelberg对策算法[J].系统工程学报,2005,20(3):303-307.
作者姓名:田厚平  郭亚军  王学军
作者单位:1. 南京理工大学经济管理学院,江苏,南京,210094
2. 东北大学工商管理学院,辽宁,沈阳,110004
基金项目:国家科技部资助项目(2003EE550001),国家自然科学基金资助项目(70472032),南京理工大学科研发展基金资助项目(AB96143).
摘    要:当Stackelberg对策具有多主者多从者时,传统的Stackelberg模型求解算法从方法上将面临困难,因而文章着重研究了多主多从Stackelberg对策的算法.建立了具有多主多从的Stackelberg对策模型,给出了基于进化博弈论的模型求解算法.同时,考虑到成员之间可能存在合作关系,对联盟利益分配问题进行了初步探讨.最后,给出了一个两主两从Stackelberg对策算例,应用所提方法进行了分析,结果表明两主者合作时对从者不利,而从者是能从主者非合作竞争中渔利的.

关 键 词:Stackelberg博弈  合作  利益分配  进化博弈论
文章编号:1000-5781(2005)03-0303-05

Algorithm of Stackelberg game with multiple leaders-followers based on evolutionary game theory
TIAN Hou-ping,GUO Ya-jun,WANG Xue-jun.Algorithm of Stackelberg game with multiple leaders-followers based on evolutionary game theory[J].Journal of Systems Engineering,2005,20(3):303-307.
Authors:TIAN Hou-ping  GUO Ya-jun  WANG Xue-jun
Institution:TIAN Hou-ping~1,GUO Ya-jun~2,WANG Xue-jun~2
Abstract: When Stackelberg game has multiple leaders-followers, the traditional methods will be difficult to deal with the situation, so the algorithm of Stackelberg game with multiple leaders-followers is studied in the paper. The Stackelberg model with multiple leaders-followers is constructed, and the algorithm based on evolutionary game theory is proposed to solve the model. Then the cooperative profit allocation is discussed as the players may cooperate. Finally, a Stackelberg game example with two-leader and (two-follower) is given, and it is solved by applying the algorithm of the paper. The results show the leaders' cooperation is disadvantageous to the followers; however the followers would be benefited from the leaders' competition.
Keywords:Stackelberg game  cooperation  profit allocation  evolutionary game theory  
本文献已被 CNKI 维普 万方数据 等数据库收录!
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