Title
Efficient Black-Box Reductions For Separable Cost Sharing
Abstract
In cost-sharing games with delays, a set of agents jointly uses a subset of resources. Each resource has a fixed cost that has to be shared by the players, and each agent has a nonshareable player-specific delay for each resource. A separable cost-sharing protocol determines cost shares that are budget-balanced, separable, and guarantee existence of pure Nash equilibria (PNE). We provide black-box reductions reducing the design of such a protocol to the design of an approximation algorithm for the underlying cost-minimization problem. In this way, we obtain separable cost-sharing protocols in matroid games, single-source connection games, and connection games on n-series-parallel graphs. All these reductions are efficiently computable - given an initial allocation profile, we obtain a cheaper profile and separable cost shares turning the profile into a PNE. Hence, in these domains, any approximation algorithm yields a separable cost-sharing protocol with price of stability bounded by the approximation factor.
Year
DOI
Venue
2021
10.1287/moor.2020.1050
MATHEMATICS OF OPERATIONS RESEARCH
Keywords
DocType
Volume
cost sharing, price of stability, matroids, connection games
Journal
46
Issue
ISSN
Citations 
1
0364-765X
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Tobias Harks102.37
Martin Hoefer266159.37
Anja Schedel301.01
Manuel Surek400.34