Bulletin of the
Korean Mathematical Society BKMS

Pure-strategy Nash Equilibrium (NE) is one of the most important concepts in game theory. Tae-Hwan Yoon and O-Hun Kwon gave a ``sufficient condition'' for the existence of pure-strategy NEs in matrix games [5]. They also claimed that the condition was necessary for the existence of pure-strategy NEs in undominated matrix games. In this short note, we show that these claims are not true by giving two examples.

Keywords: pure-strategy equilibrium, matrix game, saddle point

MSC numbers: 91A05