English

Example of a finite game with no Berge equilibria at all

Computer Science and Game Theory 2018-07-17 v1

Abstract

The problem of the existence of Berge equilibria in the sense of Zhukovskii in normal form finite games in pure and in mixed strategies is studied. The example of a three-player game that has Berge equilibrium neither in pure nor in mixed strategies is given.

Keywords

Cite

@article{arxiv.1807.05821,
  title  = {Example of a finite game with no Berge equilibria at all},
  author = {Jaroslaw Pykacz and Pawel Bytner and Piotr Frackiewicz},
  journal= {arXiv preprint arXiv:1807.05821},
  year   = {2018}
}