{"title":"Looking Forward Approach in Cooperative Differential Games","authors":"Petrosian Ovanes","doi":"10.1142/S0219198916400077","DOIUrl":null,"url":null,"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.","PeriodicalId":45451,"journal":{"name":"International Game Theory Review","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2016-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0219198916400077","citationCount":"19","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Game Theory Review","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/S0219198916400077","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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.
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.