Skip to main content
SpringerLink
Log in

Values of games with a continuum of players

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

A definition of the “Shapley value” of games with a continuum of players and a formula for this value are given for a certain class of games, regarding them as limits of games with a finite number of players.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. W. Feller,Probability Theory and its Applications, Vol. 1, John Wiley, 1950 (First edition).

  2. P. R. Halmos,Measure Theory, Van Nostrand, 1950.

  3. L. S. Shapley, A value forn-person games,Contributions to the theory of games 2, Ann. Math. Studies28, pp. 307–318.

Download references

Author information

Authors and Affiliations

  1. The Hebrew University of Jerusalem, Israel

    Yakar Kannai

  2. The Israel Institute for Biological Research, Israel

    Yakar Kannai

Authors
  1. Yakar Kannai
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The research described in this paper was partially supported by the U.S. Office of Naval Research, Logistics and Mathematical Statistics Branch, under Contract Number N 62558-3586.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kannai, Y. Values of games with a continuum of players. Israel J. Math. 4, 54–58 (1966). https://doi.org/10.1007/BF02760070

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02760070

Keywords

Search

Navigation