Looking Forward Approach in Cooperative Differential Games

IF 0.4 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

International Game Theory Review Pub Date : 2016-06-30 DOI:10.1142/S0219198916400077

Petrosian Ovanes

引用次数: 19

Abstract

New approach to the definition of solution in cooperative differential games is considered. The approach is based on artificially truncated information about the game. It assumed that at each time, instant players have information about the structure of the game (payoff functions, motion equations) only for the next fixed time interval. Based on this information they make the decision. Looking Forward Approach is applied to the cases when the players are not sure about the dynamics of the game on the whole time interval [0,T] and orient themselves on the game dynamics defined on the smaller time interval T¯ (0 < T¯ < T), on which they surely know that the game dynamics is not changing.

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合作微分对策的前瞻方法

研究了合作微分对策解定义的新方法。这种方法是基于人为截断的游戏信息。它假设即时玩家每次都只在下一个固定的时间间隔内拥有关于游戏结构的信息(收益函数，运动方程)。他们根据这些信息做出决定。前瞻性方法适用于当玩家不确定整个时间间隔[0,T]上的游戏动态，并将自己定位在较小的时间间隔T¯(0 < T¯< T)上定义的游戏动态时，他们肯定知道游戏动态不会改变。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Game Theory Review MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： Rapid developments in technology, communication, industrial organization, economic integration, political reforms and international trade have made it increasingly imperative to recognize the causes and effects of strategic interdependencies and interactions. A strategic approach to decision-making is crucial in areas such as trade negotiations, foreign and domestic investments, capital accumulation, pollution control, market integration, regional cooperation, development and implementation of new technology, arms control, international resource extraction, network sharing, and competitive marketing. Since its inception, game theory has contributed significantly to the foundations of decision-making.