British Journal of Mathematics & Computer Science, ISSN: 2231-0851,Vol.: 3, Issue.: 2 (April-June)
Equilibria in Quantum Three-Player Dilemma Game
Aden Omar Ahmed1* 1Department of Mathematics, Texas A&M University – Kingsville, Texas 78363-8202, USA.
Aden Omar Ahmed1*
1Department of Mathematics, Texas A&M University – Kingsville, Texas 78363-8202, USA.
(1) Huaitang Chen, School of Science, Linyi University, P.R.China.
(2) Tian-Xiao He, Department of Mathematics and Computer Science, Illinois Wesleyan University, USA.
(1) Francesco Toppan, Brazil
Complete Peer review History: http://www.sciencedomain.org/review-history/1170
After a brief exploration of certain topological features of the unit octonions, we identify the Nash equilibria in a quantized version of three-player dilemma game using an octonionic representation of the payoff function. This representation is an important tool for the relative ease in working with octonionic arithmetic as opposed to multi-variant tensors and provides a fresh computational framework that can be utilized for the classification of Nash equilibria in generic three-player two-strategy games. While the full classification of equilibria remains a goal of future research, our representation has already established certain family of equilibria in a quantized version of three-player dilemma game.
Quaternions, octonions, quantum Games, Nash equilibrium
Full Article - PDF Page 195-208
DOI : 10.9734/BJMCS/2013/2805Review History Comments