• DOI:10.1137/060658448
• Corpus ID: 15271948

Equitable Cost Allocations via Primal--Dual-Type Algorithms

@article{Jain2008EquitableCA,
  title={Equitable Cost Allocations via Primal--Dual-Type Algorithms},
  author={Kamal Kumar Jain and Vijay V. Vazirani},
  journal={SIAM J. Comput.},
  year={2008},
  volume={38},
  pages={241-256}
}

• K. Jain, V. Vazirani
• Published 31 March 2008
• Mathematics
• SIAM J. Comput.

Perhaps the strongest notion of truth-revealing in a cost sharing mechanism is group strategyproofness. However, matters are not so clear-cut on fairness, and many different, sometimes even conflicting, notions of fairness have been proposed which have relevance in different situations. We present a large class of group strategyproof cost sharing methods, for submodular cost functions, satisfying a wide range of fairness criteria, thereby allowing the service provider to choose a method that best satisfies the notion of fairness that is most relevant to its application. Our class includes the Dutta-Ray egalitarian method as a special case. It also includes a new cost sharing method, which we call the opportunity egalitarian method.