THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
Corrigenda: Bimatrix games have a quasi-strict equilibrium: an alternative proof through a heuristic approach
Takao Fujimoto, N. G. A. Karunathilake and Ravindra R. Ranade

Abstract

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.

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Keywords: Bimatrix game; Kakutani fixed point theorem; multivalued map; quasi-strict equilibrium.

Pages:  86$-$90     

Volume  XXII ,  Issue  2 ,  2019