Corrigenda: Bimatrix games have a quasi-strict equilibrium: an alternative proof through a heuristic approach
The Teaching of Mathematics, XXII (2019) no. 2, p. 86
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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.
Classification :
97M40, 91A05, 91B62 : M45
Keywords: Bimatrix game, Kakutani fixed point theorem, multivalued map, quasi-strict equilibrium.
Keywords: Bimatrix game, Kakutani fixed point theorem, multivalued map, quasi-strict equilibrium.
@article{TM2_2019_XXII_2_a6,
author = {Takao Fujimoto and N. G. A. Karunathilake and Ravindra R. Ranade},
title = {Corrigenda: {Bimatrix} games have a quasi-strict equilibrium: an alternative proof through a heuristic approach},
journal = {The Teaching of Mathematics},
pages = {86 },
year = {2019},
volume = {XXII},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TM2_2019_XXII_2_a6/}
}
TY - JOUR AU - Takao Fujimoto AU - N. G. A. Karunathilake AU - Ravindra R. Ranade TI - Corrigenda: Bimatrix games have a quasi-strict equilibrium: an alternative proof through a heuristic approach JO - The Teaching of Mathematics PY - 2019 SP - 86 VL - XXII IS - 2 UR - http://geodesic.mathdoc.fr/item/TM2_2019_XXII_2_a6/ LA - en ID - TM2_2019_XXII_2_a6 ER -
%0 Journal Article %A Takao Fujimoto %A N. G. A. Karunathilake %A Ravindra R. Ranade %T Corrigenda: Bimatrix games have a quasi-strict equilibrium: an alternative proof through a heuristic approach %J The Teaching of Mathematics %D 2019 %P 86 %V XXII %N 2 %U http://geodesic.mathdoc.fr/item/TM2_2019_XXII_2_a6/ %G en %F TM2_2019_XXII_2_a6
Takao Fujimoto; N. G. A. Karunathilake; Ravindra R. Ranade. Corrigenda: Bimatrix games have a quasi-strict equilibrium: an alternative proof through a heuristic approach. The Teaching of Mathematics, XXII (2019) no. 2, p. 86 . http://geodesic.mathdoc.fr/item/TM2_2019_XXII_2_a6/