Our paper published in this journal [Bimatrix games have a quasi-strict equilibrium: an alternative proof through a heuristic approach, The Teaching of Mathematics, 21, 2 (2018), 97--108] contains at least two errors, and the proof is too sloppy in dealing with a really subtle problem. The purpose of this note is to correct those errors and to give more explanation, and accordingly to present slightly different economic interpretations of our method as well as to show calculated results, suitable to our corrected proof, in the numerical example.