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A note on values and multilinear extensions

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  • Alvin E. Roth

Abstract

An axiomatic formulation is given of a class of values for cooperative games. This class includes the Shapley value and the Banzhaf index, and is related to the multilinear extension of a game.

Suggested Citation

  • Alvin E. Roth, 1977. "A note on values and multilinear extensions," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 24(3), pages 517-520, September.
    • Handle: RePEc:wly:navlog:v:24:y:1977:i:3:p:517-520
    DOI: 10.1002/nav.3800240316
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    Cited by:

    1. René van den Brink & Agnieszka Rusinowska, 2017. "The degree measure as utility function over positions in networks," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01592181, HAL.
    2. Conrado M. Manuel & Daniel Martín, 2021. "A Monotonic Weighted Banzhaf Value for Voting Games," Mathematics, MDPI, vol. 9(12), pages 1-23, June.

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