Skip to main content
Log in

On repeated games without a recursive structure: Existence of limV n

  • Published:
International Journal of Game Theory Aims and scope Submit manuscript

Abstract

We consider repeated zero-sum games with symmetric incomplete information where at each stage the common signal is either non-revealing or completely revealing. We prove that the sequence of values ofn-stage games converges by approximating the repeated game by a sequence of games in continuous time.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Mertens JF (1986) The minmax theorem for U.S.C.-L.S.C. payoff functions. International Journal of Game Theory 15:237–250

    Google Scholar 

  • Mertens JF, Zamir S (1976) On a repeated game without a recursive structure. International Journal of Game Theory 5:173–182

    Google Scholar 

  • Sorin S (1984) “Big match” with lack of information on one side (part I). International Journal of Game Theory 13:201–255

    Google Scholar 

  • Waternaux C (1983a) Solution for a class of games without recursive structure. International Journal of Game Theory 12:129–160

    Google Scholar 

  • Waternaux C (1983b) Minmax of Maxmin of repeated games without a recursive structure. CORE DP 8318, to appear in International Journal of Game Theory

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper was written at the Mathematical Sciences Research Institute, Berkeley and supported in part by NSF Grant 8120790. The support of these institutions is gratefully acknowledged.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sorin, S. On repeated games without a recursive structure: Existence of limV n . Int J Game Theory 18, 45–55 (1989). https://doi.org/10.1007/BF01248495

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01248495

Keywords

Navigation