New Axiomatizations and an Implementation of the Shapley Value

T. Kongo, Y. Funaki, S.H. Tijs

Research output: Working paperDiscussion paperOther research output

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Abstract

Some new axiomatic characterizations and recursive formulas of the Shapley value are presented. In the results, dual games and the self-duality of the value implicitly play an important role. A set of non-cooperative games which implement the Shapley value on the class of all games is given.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages14
Volume2007-90
Publication statusPublished - 2007

Publication series

NameCentER Discussion Paper
Volume2007-90

Keywords

  • Shapley value
  • axiomatization
  • implementation

Cite this

Kongo, T., Funaki, Y., & Tijs, S. H. (2007). New Axiomatizations and an Implementation of the Shapley Value. (CentER Discussion Paper; Vol. 2007-90). Tilburg: Operations research.
Kongo, T. ; Funaki, Y. ; Tijs, S.H. / New Axiomatizations and an Implementation of the Shapley Value. Tilburg : Operations research, 2007. (CentER Discussion Paper).
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Kongo, T, Funaki, Y & Tijs, SH 2007 'New Axiomatizations and an Implementation of the Shapley Value' CentER Discussion Paper, vol. 2007-90, Operations research, Tilburg.

New Axiomatizations and an Implementation of the Shapley Value. / Kongo, T.; Funaki, Y.; Tijs, S.H.

Tilburg : Operations research, 2007. (CentER Discussion Paper; Vol. 2007-90).

Research output: Working paperDiscussion paperOther research output

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AB - Some new axiomatic characterizations and recursive formulas of the Shapley value are presented. In the results, dual games and the self-duality of the value implicitly play an important role. A set of non-cooperative games which implement the Shapley value on the class of all games is given.

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KW - axiomatization

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Kongo T, Funaki Y, Tijs SH. New Axiomatizations and an Implementation of the Shapley Value. Tilburg: Operations research. 2007. (CentER Discussion Paper).