A New Weight Scheme for the Shapley Value

Guillaume Georges Marie Haeringer .

Research output: Contribution to journalArticleResearchpeer-review

28 Citations (Scopus)

Abstract

It is well known since Owen (Owen, G., 1968. A note on the Shapley value. Management Science 14, 731-732.) that the weights in the weighted Shapley value cannot be interpreted as a measure of power (i.e., of the ability to bargain) of the players. We propose in this paper a new weight scheme for the Shapley value, which allows to interpret weights as bargaining power measure. We provide an axiomatic characterization of this new weighted Shapley value. © 2006 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)88-98
JournalMathematical Social Sciences
Volume52
Issue number1
DOIs
Publication statusPublished - 1 Jul 2006

Keywords

  • Monotonicity
  • Shapley value
  • Weights

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