Corpus ID: 67790455

Minimal Envy and Popular Matchings

@article{Kondratev2019MinimalEA,
  title={Minimal Envy and Popular Matchings},
  author={Aleksei Y. Kondratev and Alexander S. Nesterov},
  journal={ArXiv},
  year={2019},
  volume={abs/1902.08003}
}
  • Aleksei Y. Kondratev, Alexander S. Nesterov
  • Published 2019
  • Computer Science
  • ArXiv
  • We study ex-post fairness in the object allocation problem where objects are valuable and commonly owned. A matching is fair from individual perspective if it has only inevitable envy towards agents who received most preferred objects -- minimal envy matching. A matching is fair from social perspective if it is supported by majority against any other matching -- popular matching. Surprisingly, the two perspectives give the same outcome: when a popular matching exists it is equivalent to a… CONTINUE READING
    5 Citations

    Tables and Topics from this paper

    Strategy-proof Popular Mechanisms.
    • PDF
    Popular Mechanisms
    Local envy-freeness in house allocation problems
    • 14
    • PDF

    References

    SHOWING 1-10 OF 38 REFERENCES
    Random popular matchings
    • 65
    • PDF
    Popular mixed matchings
    • 94
    • PDF
    Popular matchings in the weighted capacitated house allocation problem
    • 33
    • PDF
    Fairness and efficiency in strategy-proof object allocation mechanisms
    • 19
    • PDF
    Popular Matchings: Structure and Strategic Issues
    • Meghana Nasre
    • Computer Science, Mathematics
    • SIAM J. Discret. Math.
    • 2014
    • 7
    • PDF
    Popular matchings with variable item copies
    • 13
    • PDF
    Popular and clan-popular b-matchings
    • K. Paluch
    • Mathematics, Computer Science
    • Theor. Comput. Sci.
    • 2014
    • 6
    • PDF
    Popular Matchings: Structure and Algorithms
    • 23
    • PDF