{"title":"Cooperative Multicriteria Dynamic Games: Application to Transportation Problems","authors":"A. N. Rettieva","doi":"10.1134/S1064562424602567","DOIUrl":null,"url":null,"abstract":"<p>Cooperation plays an important role in dynamic games related to resource allocation problems. This paper investigates a multicriteria dynamic resource management problem. Noncooperative and cooperative strategies and payoffs are obtained via bargaining schemes. To maintain cooperative behavior, the concept of incentive equilibrium, where the center controls the compliance with the cooperative agreement, is adopted. The presented approaches are applied to a multicriteria dynamic transportation problem.</p>","PeriodicalId":531,"journal":{"name":"Doklady Mathematics","volume":"110 2 supplement","pages":"S487 - S494"},"PeriodicalIF":0.5000,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Doklady Mathematics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S1064562424602567","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Cooperation plays an important role in dynamic games related to resource allocation problems. This paper investigates a multicriteria dynamic resource management problem. Noncooperative and cooperative strategies and payoffs are obtained via bargaining schemes. To maintain cooperative behavior, the concept of incentive equilibrium, where the center controls the compliance with the cooperative agreement, is adopted. The presented approaches are applied to a multicriteria dynamic transportation problem.
期刊介绍:
Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.