Skip to main content
Log in

An existence result for farsighted stable sets of games in characteristic function form

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

Abstract

In this paper we show that every finite-player game in characteristic function form (not necessarily with side payments) obeying an innocuous condition (that the set of individually rational pay-off vectors is bounded) possesses a farsighted von-Neumann–Morgenstern stable set.

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

  • Aumann R, Peleg B (1960) Von Neumann–Morgenstern solutions to cooperative games without side payments. Bull Am Math Soc 66: 173–179

    Article  Google Scholar 

  • Beal S, Durieu J, Solal P (2008) Farsighted coalitional stability in TU-games. Math Soc Sci 56: 303–313

    Article  Google Scholar 

  • Chwe M (1994) Farsighted coalitional stability. J Econ Theory 63: 299–325

    Article  Google Scholar 

  • Diamantoudi E, Xue L (2003) Farsighted stability in hedonic games. Soc Choice Welf 21: 39–61

    Article  Google Scholar 

  • Diamantoudi E, Xue L (2005) Lucas counter example revisited. University of Aarhus, Economics Working Paper No. 2005-09

  • Greenberg J, Luo X, Oladi R, Shitovitz B (2002) (Sophisticated) stable sets in exchange economies. Games Econ Behav 39: 54–70

    Article  Google Scholar 

  • Harsanyi J (1974) An equilibrium point interpretation of stable sets and a proposed alternative definition. Manag Sci 20: 1472–1495

    Article  Google Scholar 

  • Kamijo Y, Muto S (2007) Farsighted stability of collusive price leadership. Tokyo Institute of Technology, Discussion Paper No. 07-09

  • Lucas W (1968) A game with no solution. Bull Am Math Soc 74: 237–239

    Article  Google Scholar 

  • Mauleon A, Vannetelbosch V, Vergote W (2008) Von Neumann–Morgenstern farsightedly stable sets in two-sided matching. CORE Discussion Paper

  • Peleg B (1992) Axiomatizations of the core. In: Aumann R, Hart S (eds) Handbook of game theory. Elsevier, Amsterdam, pp 397–412

    Google Scholar 

  • Scarf H (1967) The core of an N-person game. Econometrica 35: 50–69

    Article  Google Scholar 

  • Vartiainen H (2008) Dynamic stable set. Mimeo, Turku School of Economics

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anindya Bhattacharya.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bhattacharya, A., Brosi, V. An existence result for farsighted stable sets of games in characteristic function form. Int J Game Theory 40, 393–401 (2011). https://doi.org/10.1007/s00182-010-0262-6

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00182-010-0262-6

Keywords

Navigation