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Note Core and monotonic allocation methods

Listed author(s):
  • David Housman


    (Department of Mathematics, Goshen College, 1700 South Main Street, Goshen, Indiana 46526, USA)

  • (*), Lori Clark


    (Marketing Planning & Systems, Chadwick's at Boston, 35 United Drive, West Bridgewater, MA 02379, USA)

Young showed in a paper of 1985 (Int. J. Game Theory 14, 65-72) that no core allocation method can be coalitionally monotonic on cooperative games with five or more players. This note extends Young's result. No core allocation method can be coalitionally monotonic on cooperative games with four or more players, and there is an infinite class of core allocation methods that are coalitionally monotonic on three-player cooperative games. Journal of Economic Literature

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Article provided by Springer & Game Theory Society in its journal International Journal of Game Theory.

Volume (Year): 27 (1998)
Issue (Month): 4 ()
Pages: 611-616

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Handle: RePEc:spr:jogath:v:27:y:1998:i:4:p:611-616
Note: Received October 1996/Revised version June 1998
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