有多个不合作随从的诱导策略

本文讨论上级宣布策略后随从进行Nash不合作对策时的诱导问题.由于Nash不合作平衡点的不唯一性,本文提出了拟诱导策略,弱诱导策略和强诱导策略的概念。当随从目标函数是凸函数时,得到了仿射型拟诱导策略和仿射型弱诱导策略的存在条件与设计方法,当随从目标函数是正定二次函数时,得到了仿射型强诱导策略的存在条件与设计方法,并有示例说明本文的结论。

Incentive Strategies with Multiple Noncooperative Followers

This paper deals with incentive problems wherein multiple followers play Nash noncooprrative game under the leader's strategy. In view of the ununiqucncss of Nash noncoopcrative equilibrium,we present the concepts of quasiinccntive strategy,weak-incentive strategy,and strong-incentive strategy. We get sufficient existence conditions and design methods of quasi-incentive strategy and weak-incentive strategy when the followers' objectives are convex functions,and that of strong-incentive strategy when the followers'objectives are positive quadratic functions. Numerical examples arc also given to illustrate the results of this paper.