TITLE:
Best Response Analysis in Two Person Quantum Games
AUTHORS:
Azharuddin Shaik, Aden Ahmed
KEYWORDS:
Quantum Games, Nash Equilibrium, Quaternions, Best Response Analysis, Game Extensions
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.7,
July
29,
2014
ABSTRACT:
In this paper, we find particular use for a maximally entangled initial
state that produces a quantized version of two player two strategy games. When
applied to a variant of the well-known game of Chicken, our construction shows
the existence of new Nash equilibria with the players receiving better payoffs
than those found in literature.