Journal
OPERATIONS RESEARCH
Volume 69, Issue 2, Pages 410-435Publisher
INFORMS
DOI: 10.1287/opre.2020.2036
Keywords
price of anarchy; routing game; user behavior; selfish routing; nonatomic congestion game; static traffic
Funding
- National Science Foundation of China [11871081, 11531014]
- Science Foundation of Anhui Science and Technology Department [1908085QF262]
- Talent Foundation of Hefei University [1819RC29]
- Science Foundation of the Anhui Education Department [KJ2019A0834]
Ask authors/readers for more resources
This study investigates the price of anarchy in nonatomic congestion games when the total demand gets very large, extending previous results in this direction and offering a new framework for the limit analysis of PoA. The research shows that regardless of the growth pattern of total demand T, PoA converges to one in the limit game.
We investigate the price of anarchy (PoA) in nonatomic congestion games when the total demand T gets very large. First results in this direction have recently been obtained by Colini-Baldeschi et al. (2016, 2017, 2020) for routing games and show that the PoA converges to one when the growth of the total demand T satisfies certain regularity conditions. We extend their results by developing a new framework for the limit analysis of the PoA that offers strong techniques such as the limit of games and applies to arbitrary growth patterns of T. We show that the PoA converges to one in the limit game regardless of the type of growth of T for a large class of cost functions that contains all polynomials and all regularly varying functions. For routing games with Bureau of Public Road (BPR) cost functions, we show in addition that socially optimal strategy profiles converge to equilibria in the limit game and that the PoA converges to one at a power law with exponent beta, where beta > 0 is the degree of the BPR functions. However, the precise convergence rate depends crucially on the the growth of T, which shows that a conjecture proposed by O'Hare et al. (2016) need not hold.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available