On two-point Nash equilibria in bimatrix games with convexity properties

Wojciech Połowczuk. "On two-point Nash equilibria in bimatrix games with convexity properties." Applicationes Mathematicae 33.1 (2006): 71-84. <http://eudml.org/doc/279324>.

@article{WojciechPołowczuk2006,
abstract = {This paper considers bimatrix games with matrices having concavity properties. The games described by such payoff matrices well approximate two-person non-zero-sum games on the unit square, with payoff functions F₁(x,y) concave in x for each y, and/or F₂(x,y) concave in y for each x. For these games it is shown that there are Nash equilibria in players' strategies with supports consisting of at most two points. Also a simple search procedure for such Nash equilibria is given.},
author = {Wojciech Połowczuk},
journal = {Applicationes Mathematicae},
keywords = {non-zero-sum game; concave/convex game; Nash equilibrium},
language = {eng},
number = {1},
pages = {71-84},
title = {On two-point Nash equilibria in bimatrix games with convexity properties},
url = {http://eudml.org/doc/279324},
volume = {33},
year = {2006},
}

TY - JOUR
AU - Wojciech Połowczuk
TI - On two-point Nash equilibria in bimatrix games with convexity properties
JO - Applicationes Mathematicae
PY - 2006
VL - 33
IS - 1
SP - 71
EP - 84
AB - This paper considers bimatrix games with matrices having concavity properties. The games described by such payoff matrices well approximate two-person non-zero-sum games on the unit square, with payoff functions F₁(x,y) concave in x for each y, and/or F₂(x,y) concave in y for each x. For these games it is shown that there are Nash equilibria in players' strategies with supports consisting of at most two points. Also a simple search procedure for such Nash equilibria is given.
LA - eng
KW - non-zero-sum game; concave/convex game; Nash equilibrium
UR - http://eudml.org/doc/279324
ER -