Title
Optimal Cost-Sharing In Weighted Congestion Games
Abstract
We identify how to share costs locally in weighted congestion games with polynomial cost functions in order to minimize the worst-case price of anarchy (PoA). First, we prove that among all cost-sharing methods that guarantee the existence of pure Nash equilibria, the Shapley value minimizes the worst-case PoA. Second, if the guaranteed existence condition is dropped, then the proportional cost-sharing method minimizes the worst-case PoA over all cost-sharing methods. As a byproduct of our results, we obtain the first PoA analysis of the simple marginal contribution cost-sharing rule, and prove that marginal cost taxes are ineffective for improving equilibria in (atomic) congestion games.
Year
DOI
Venue
2014
10.1007/978-3-319-13129-0_6
WEB AND INTERNET ECONOMICS
Keywords
Field
DocType
cost-sharing, selfish routing, congestion games
Mathematical economics,Economics,Mathematical optimization,Polynomial,Shapley value,Cost sharing,Marginal cost,Price of anarchy,Optimal cost,Nash equilibrium
Conference
Volume
ISSN
Citations 
8877
0302-9743
11
PageRank 
References 
Authors
0.52
26
3
Name
Order
Citations
PageRank
Vasilis Gkatzelis113714.77
Konstantinos Kollias2465.18
Tim Roughgarden34177353.32