Skip to main content
Log in

On balanced games and games with committee control

  • Theoretical Papers
  • Published:
Operations-Research-Spektrum Aims and scope Submit manuscript

Summary

A generalization of flow games, namely, flow games with committee control is considered, to obtain a representation of non-negative balanced games. The committee control is modeled with the aid of simple games. Linear production games with committee control are also studied and results on the balancedness of such games are obtained.

Zusammenfassung

Eine Verallgemeinerung von Fluß-spielen, nämlich solchen mit Komitee-Kontrolle, wird in der vorliegenden Arbeit betrachtet, um eine Darstellung nicht-negativer ausgewogener Spiele zu erhalten. Die Komitee-Kontrolle wird mit Hilfe einfacher Spiele modelliert. Ebenso werden lineare Produktionsspiele mit Komitee-Kontrolle untersucht, und Ergebnisse zur Ausgewogenheit solcher Spiele werden hergeleitet.

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

  1. Curiel IJ, Pederzoli G, Tijs SH (1988) Reward allocations in production systems. In: Advances in optimization and control. Eiselt H, Pederzoli G (eds) Department of Mathematics of the Catholic University of Nijmegen

  2. Dubey P, Shapley LS (1984) Totally balanced games arising from controlled programming problems. Math Prog 29:245–267

    Google Scholar 

  3. Ford LR Jr, Fulkerson DR (1962) Flows in networks. Princeton University Press, Princeton New Jersey

    Google Scholar 

  4. Granot D (1985) A generalized linear production model: a unifying model. Working Paper 1055, University of British Columbia

  5. Kalai E, Zemel E (1982) Totally balanced games and games of flow. Math Oper Res 7:476–478

    Google Scholar 

  6. Kalai E, Zemel E (1982) Generalized network problems yielding totally balanced games. Oper Res 30:998–1008

    Google Scholar 

  7. Owen G (1975) On the core of linear production games. Math Prog 9:358–370

    Google Scholar 

  8. Spinetto RD (1971). Solution concepts ofn-person cooperative games as points in the game space. Technical Report 138. Department of Operations Research College of Engineering, Cornell University Ithaca, New York

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Curiel, I., Derks, J. & Tijs, S. On balanced games and games with committee control. OR Spektrum 11, 83–88 (1989). https://doi.org/10.1007/BF01746002

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01746002

Keywords

Navigation