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British Journal of Mathematics & Computer Science

British Journal of Mathematics & Computer Science, ISSN: 2231-0851,Vol.: 3, Issue.: 2 (April-June)

Original Research Article

Equilibria in Quantum Three-Player Dilemma Game

 

Aden Omar Ahmed1*

1Department of Mathematics, Texas A&M University – Kingsville, Texas 78363-8202, USA.

 

Abstracts

 

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.

 

Keywords :

Quaternions, octonions, quantum Games, Nash equilibrium

 

Full Article - PDF    Page 195-208    Article Metrics

 

DOI : 10.9734/BJMCS/2013/2805

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