A cost-sharing method for an uncapacitated facility location game with penalties

This paper considers a variant of the classical facility location game called the uncapacitated facility location game with penalties (UFLGWP). Unlike the standard UFLG, each client in the UFLGWP is either assigned to an open facility or rejected by paying a penalty. The authors propose a 3-approximate cross-monotonic cost-sharing method for the UFLGWP.

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