International Journal of Game Theory

, Volume 14, Issue 2, pp 65–72

Monotonic solutions of cooperative games

  • H. P. Young

DOI: 10.1007/BF01769885

Cite this article as:
Young, H.P. Int J Game Theory (1985) 14: 65. doi:10.1007/BF01769885


The principle of monotonicity for cooperative games states that if a game changes so that some player's contribution to all coalitions increases or stays the same then the player's allocation should not decrease. There is a unique symmetric and efficient solution concept that is monotonic in this most general sense — the Shapley value. Monotonicity thus provides a simple characterization of the value without resorting to the usual “additivity” and “dummy” assumptions, and lends support to the use of the value in applications where the underlying “game” is changing, e.g. in cost allocation problems.

Copyright information

© Physica-Verlag 1985

Authors and Affiliations

  • H. P. Young
    • 1
  1. 1.School of Public AffairsUniversity of MarylandCollege ParkUSA

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