English, Article, Journal or magazine article edition: The balanced solution for cooperative transferable utility games Rene van den Brink; Rene Levinsky; Miroslav Zeleny

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Bookmark: http://trove.nla.gov.au/version/1120
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • The balanced solution for cooperative transferable utility games
Author
  • Rene van den Brink
  • Rene Levinsky
  • Miroslav Zeleny
Physical Description
  • preprint
Notes
  • The Shapley value of a cooperative transferable utility game distributes the dividend of each coalition in the game equally among its members. Given exogenous weights for all players, the corresponding weighted Shapley value distributes the dividends proportionally to their weights. In this contribution we deï¬ne the balanced solution which assigns weights to players such that the corresponding weighted Shapley value of each player is equal to her weight. We prove its existence for all monotone transferable utility games, discuss other properties of this solution, and deal with its characterization through a reduced game consistency.
  • Balanced solution, Proportionality, Reduced game consistency, Weighted Shapley value.
  • RePEc:jrp:jrpwrp:2007-073
Language
  • English
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