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Multilinear extensions and the banzhaf value

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  • Guillermo Owen

Abstract

It is shown that the Banzhaf value can be obtained by differentiating the multilinear extension of a game at the midpoint of the unit cube. This gives us a composition theorem for the value of compound games. As an example, the values of the electoral college and presidential election “games” are approximated by the method of extensions.

Suggested Citation

  • Guillermo Owen, 1975. "Multilinear extensions and the banzhaf value," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(4), pages 741-750, December.
  • Handle: RePEc:wly:navlog:v:22:y:1975:i:4:p:741-750
    DOI: 10.1002/nav.3800220409
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