Potential Game in a Parallel Transportation Network with Symmetric Externalities

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2025-03-28 DOI:10.1134/S1064562424602555

Yu. V. Chirkova

引用次数: 0

Abstract

A model of a transportation system with parallel channels and BPR latency functions with symmetric linear externalities is considered in the case where the impact of the channel loads on latency is pairwise symmetric. For this case, it is proved that the game of traffic allocation among the channels is potential, and the price of anarchy is bounded above by a value of \(\frac{4}{3}\).

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

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 It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications.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.