Title
The curse of sequentiality in routing games
Abstract
In the \"The curse of simultaneity\", Paes Leme et al. show that there are interesting classes of games for which sequential decision making and corresponding subgame perfect equilibria avoid worst case Nash equilibria, resulting in substantial improvements for the price of anarchy. This is called the sequential price of anarchy. A handful of papers have lately analysed it for various problems, yet one of the most interesting open problems was to pin down its value for linear atomic routing also: network congestion games, where the price of anarchy equals 5/2. The main contribution of this paper is the surprising result that the sequential price of anarchy is unbounded even for linear symmetric routing games, thereby showing that sequentiality can be arbitrarily worse than simultaneity for this class of games. Complementing this result we solve an open problem in the area by establishing that the regular price of anarchy for linear symmetric routing games equals 5/2. Additionally, we prove that in these games, even with two players, computing the outcome of a subgame perfect equilibrium is $$\\mathsf {NP}$$-hard.
Year
DOI
Venue
2015
10.1007/978-3-662-48995-6_19
Workshop on Internet and Network Economics
Field
DocType
Citations 
Mathematical optimization,Mathematical economics,Open problem,Computer science,Price of stability,Curse,Subgame perfect equilibrium,Price of anarchy,Network congestion,Nash equilibrium,Simultaneity
Conference
4
PageRank 
References 
Authors
0.47
6
4
Name
Order
Citations
PageRank
José R. Correa141.82
Jasper de Jong2123.10
Bart de Keijzer341.15
Marc Uetz445643.99