Scholarlink

Abstract <p>The paper considers a differential game model with functionals represented by a convolution in the form of the minimum of two criteria, one of which describes the competition of players in a common (external) sphere of activity and the other describes the personal achievements of each player (in the internal sphere). The player’s control is the resource redistribution between the external and internal spheres. It is shown that, under some natural assumptions of monotonicity of criteria in such games, Nash and Stackelberg equilibria exist and coincide, possessing the properties of stability and Pareto optimality. </p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On One Differential Game with Payoff Functions of the Germeier Convolution Type

  • 期刊论文

  • 发表日期：

    2025年12月1日

查看全文
  • V. A. Gorelik,
  • T. V. Zolotova

摘要

Abstract

The paper considers a differential game model with functionals represented by a convolution in the form of the minimum of two criteria, one of which describes the competition of players in a common (external) sphere of activity and the other describes the personal achievements of each player (in the internal sphere). The player’s control is the resource redistribution between the external and internal spheres. It is shown that, under some natural assumptions of monotonicity of criteria in such games, Nash and Stackelberg equilibria exist and coincide, possessing the properties of stability and Pareto optimality.