Equilibria in Quantum Three-Player Dilemma Game
Journal of Advances in Mathematics and Computer Science · pp. 195–208 · Published 30 Mar 2013
10.9734/BJMCS/2013/2805Abstract
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.
Cited by 2
Azhar Shaik, Aden O. Ahmed · 2014
Rongdong Wang, Aden O. Ahmed, J. Gutiérrez · 2015
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