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Linearity of unrestrictedly transferable utilities

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  • Robert J. Aumann

Abstract

It is proved that for games with at least three players the assumption of unrestrictedly transferable utilities is equivalent to the assumption that the individual players' utilities are linear in money. This is not the case for two‐person games.

Suggested Citation

  • Robert J. Aumann, 1960. "Linearity of unrestrictedly transferable utilities," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 7(3), pages 281-284, September.
    • Handle: RePEc:wly:navlog:v:7:y:1960:i:3:p:281-284
    DOI: 10.1002/nav.3800070308
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    Cited by:

    1. Salamanca, Andrés, 2020. "On the values of Bayesian cooperative games with sidepayments," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 38-49.
    2. Si Liu & David Ríos Insua, 2020. "Group Decision Making with Affective Features," Group Decision and Negotiation, Springer, vol. 29(5), pages 843-869, October.
    3. KORNEK, Urik & LESSMANN, Kai & TULKENS, Henry, 2014. "Transferable and non transferable utility implementations of coalitional stability in integrated assessment models," LIDAM Discussion Papers CORE 2014035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. V'ictor Gallego & Roi Naveiro & David R'ios Insua & Wolfram Rozas, 2021. "Data sharing games," Papers 2101.10721, arXiv.org.

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