Abstract | ||
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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 |
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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. Correa | 1 | 4 | 1.82 |
Jasper de Jong | 2 | 12 | 3.10 |
Bart de Keijzer | 3 | 4 | 1.15 |
Marc Uetz | 4 | 456 | 43.99 |