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International Journal of Game Theory

, Volume 8, Issue 2, pp 65–79 | Cite as

On equilibria in finite games

  • V. Bubelis
Papers

Abstract

We are concerned with Nash equilibrium points forn-person games. It is proved that, given any real algebraic numberα, there exists a 3-person game with rational data which has a unique equilibrium point andα is the equilibrium payoff for some player. We also present a method which allows us to reduce an arbitraryn-person game to a 3-person one, so that a number of questions about generaln-person games can be reduced to consideration of the special 3-person case. Finally, a completely mixed game, where the equilibrium set is a manifold of dimension one, is constructed.

Keywords

Rational Data Nash Equilibrium Equilibrium Point Economic Theory Game Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Physica-Verlag 1979

Authors and Affiliations

  • V. Bubelis
    • 1
  1. 1.Lithuanian Academy of SciencesVilniusUSSR

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