{"title":"Potential in Congestion Game with Different Types of Vehicles","authors":"N. N. Nikitina, V. V. Mazalov","doi":"10.1134/S1064562424602580","DOIUrl":null,"url":null,"abstract":"<p>Heterogeneous congestion games make it possible to simulate traffic situations involving multiple classes of vehicles with different preferences in choosing routes. In this work, we prove the existence of a potential in a discrete congestion game with <i>n</i> classes of players. Examples are given in which we calculate equilibria and demonstrate the emergence of the Braess paradox, as well as use the constructed congestion game to analyze the distribution of vehicles in the graph of urban roads for the city of Petrozavodsk.</p>","PeriodicalId":531,"journal":{"name":"Doklady Mathematics","volume":"110 2 supplement","pages":"S433 - S439"},"PeriodicalIF":0.6000,"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/S1064562424602580","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
Heterogeneous congestion games make it possible to simulate traffic situations involving multiple classes of vehicles with different preferences in choosing routes. In this work, we prove the existence of a potential in a discrete congestion game with n classes of players. Examples are given in which we calculate equilibria and demonstrate the emergence of the Braess paradox, as well as use the constructed congestion game to analyze the distribution of vehicles in the graph of urban roads for the city of Petrozavodsk.
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 It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications.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.
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