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多随从非线性诱导策略
引用本文:张成科.多随从非线性诱导策略[J].自动化学报,1994,20(3):342-347.
作者姓名:张成科
作者单位:1.桂林工学院基础部,桂林
摘    要:利用不变凸性的性质研究静态多随从诱导问题,得到了一类非线性诱导策略的存在性条 件.

关 键 词:Nash不合作对策    拟诱导策略    弱诱导策略    不变凸函数
收稿时间:1992-3-30

Nonlinear Incentive Strategies with Multiple Noncooperative Followers
Zhang Chengke.Nonlinear Incentive Strategies with Multiple Noncooperative Followers[J].Acta Automatica Sinica,1994,20(3):342-347.
Authors:Zhang Chengke
Affiliation:1.Department of Basis Sciences,Guilin College of Geology,Cuilin
Abstract:This paper deals with two level static incentive problems wherein multi-followers play Nash noncooperative game under the leader's strategy by using the prope,-rty of invariant convex function. We prove that quasi--incentive strategy and weak--incentive strategy exist when follower's indicator functions belongs to some kind of ninvariant convex functions. A new nonlinear quasi-incentive strategy and nonlinearweak--incentive strategies with quadratic characteristics are given. Numerical examplesare also given to illustrate the results of this paper.
Keywords:Nash noncooperative games  quasi-incentive strategy  weak-incentive strategy  invariant convex function  
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