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Multilinear extensions and quotients of simple games

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Listed:
  • R. Amer
  • F. Carreras
  • A. Magaña
  • G. Owen

Abstract

Studied here is the problem of evaluating the formation of coalitions in cooperative games by considering its internal and external effects. Our analysis is based upon a formal theory of the quotient game and the use of multilinear extensions to compute the Shapley value and the coalitional value. When it applies to simple games, a series of interesting results is obtained. © 1996 John Wiley & Sons, Inc.

Suggested Citation

  • R. Amer & F. Carreras & A. Magaña & G. Owen, 1996. "Multilinear extensions and quotients of simple games," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(1), pages 103-118, February.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:1:p:103-118
    DOI: 10.1002/(SICI)1520-6750(199602)43:13.0.CO;2-F
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    References listed on IDEAS

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    1. Owen, Guillermo & Winter, Eyal, 1992. "The multilinear extension and the coalition structure value," Games and Economic Behavior, Elsevier, vol. 4(4), pages 582-587, October.
    2. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
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