Abstract

Cooperation plays an important role in dynamic games related to resource management problems. To construct cooperative behavior in asymmetric (when players possess different discount factors) and multicriteria (when players have vector payoff functions) dynamic games, the standard approaches are not applicable. The paper presents methods based on bargaining schemes to determine cooperative and noncooperative equilibria in such games. Cooperative strategies and payoffs in asymmetric dynamic games are obtained via the Nash bargaining scheme, while modified bargaining schemes are applied for multicriteria dynamic games. To illustrate the presented approaches, a dynamic bioresource management problems (fish war problem) with asymmetric players and vector payoff functions is investigated.

中文翻译：

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讨价还价方案在动态博弈中确定均衡的应用

摘要

合作在与资源管理问题相关的动态博弈中发挥着重要作用。为了在非对称（当玩家拥有不同的折扣因子时）和多标准（当玩家具有向量支付函数时）动态博弈中构建合作行为，标准方法不适用。本文提出了基于讨价还价方案的方法来确定此类博弈中的合作和非合作均衡。非对称动态博弈中的合作策略和收益是通过纳什讨价还价方案获得的，而修改后的讨价还价方案适用于多标准动态博弈。为了说明所提出的方法，研究了具有不对称参与者和矢量支付函数的动态生物资源管理问题（鱼战问题）。