Abstract We present an alternative proof for the existence of at least one quasistrict equilibrium
in every bimatrix game. While Norde [Bimatrix games have quasistrict equilibria. Math Prog, {85},
3549] uses Brouwer's fixed point theorem, we employ Kakutani's fixed point theorem for multivalued
maps, and make our proof shorter, thus teachable in a couple of lecture talks. Besides our
approach admits of natural economic interpretations of some technicalities
used in the proof. We also explain how we get to our method of proof. In
addition, it is remarked that it is possible to adopt a field more general than that of real numbers.
