Strategic stability in linear-quadratic differential games with nontransferable payoffs

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• 作者：A. V. Tur
• 刊名：Automation and Remote Control
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：78
• 期：2
• 页码：379-388
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Control, Robotics, Mechatronics; Mechanical Engineering; Computer-Aided Engineering (CAD, CAE) and Design;
• 出版者：Pleiades Publishing
• ISSN：1608-3032
• 卷排序：78

文摘

We address the problem of strategically supported cooperation for linear-quadratic differential games with nontransferable payoffs. As an optimality principle, we study Pareto-optimal solutions. It is assumed that players use a payoff distribution procedure guaranteeing individual rationality of a cooperative solution over the entire game horizon. We prove that under these conditions a Pareto-optimal solution can be strategically supported by an ε-Nash equilibrium. An example is considered.