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Characterization of the nucleolus for a class of n‐person games

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  • Guillermo Owen

Abstract

An inductive procedure is given for finding the nucleolus of an n‐person game in which all coalitions with less than n‐1 players are totally defeated. It is shown that, for such a game, one of three things may occur: (a) all players receive the same amount; (b) each player receives his quota, plus a certain constant (which may be positive, nerative, or zero); (c) the weakest player receives one half his quota, and the other players divide the remaining profit according to the nucleolus of a similar (n‐1)‐person game. It is also shown that the nucleolus of such a game yields directly the nucleolus of each derived game. An example is worked out in detail.

Suggested Citation

  • Guillermo Owen, 1977. "Characterization of the nucleolus for a class of n‐person games," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 24(3), pages 463-472, September.
    • Handle: RePEc:wly:navlog:v:24:y:1977:i:3:p:463-472
    DOI: 10.1002/nav.3800240310
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