International Journal of Game Theory

, Volume 17, Issue 1, pp 1–65 | Cite as

The Shapley value in the non differentiate case

  • J. F. Mertens
Article

Abstract

The Shapley value is shown to exist even when there are essential non differentiabilities on the diagonal.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Aumann RJ, Shapley LS (1974) Values of non atomic games. Princeton University Press, Princeton, New JerseyGoogle Scholar
  2. 2.
    Berbee H (1980) On covering single points by randomly ordered intervals. PreprintGoogle Scholar
  3. 3.
    Hart S (1980) Measure based values of market games. Mathematics of Operations Research 2:197–228Google Scholar
  4. 4.
    Mertens JF (1980) Values and derivatives. Mathematics of Operations Research 5(4):523–552Google Scholar
  5. 5.
    Mertens JF (1981) On the density of the externe points in the unit ball of spaces of typeC(K) CORE D.P. 8123Google Scholar
  6. 6.
    Shapiro NZ, Shapley LS (1971) Values of weighted majority games with countably many players. Internal Rand NoteGoogle Scholar
  7. 7.
    Taumann Y (1981) Values of a class of non differentiable market games. International Journal of Game Theory 10(3/4):155–162Google Scholar

Copyright information

© Physica-Verlag 1988

Authors and Affiliations

  • J. F. Mertens
    • 1
  1. 1.CORELouvain-la-NeuveBelgium

Personalised recommendations