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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
On Quaternions, Octonions, and the Quantization of Games

On Quaternions, Octonions, and the Quantization of Games

Ahmed, Aden

Paperback

General Mathematics

Currently unavailable to order

ISBN10: 3843391459
ISBN13: 9783843391450
Publisher: Lap Lambert Academic Pub
Published: Jan 24 2011
Pages: 176
Weight: 0.59
Height: 0.41 Width: 6.00 Depth: 9.00
Language: English
The study of quantum games is fairly new, arising from a seminal paper of David A. Meyer. In the following decade, quantum game theory has gained a considerable interest. This book presents a mathematical formalism for quantum games generalizing the classical notion of mixing strategies. It begins with an exposition of the fundamentals of quantum information theory and proceeds to introduce games played under quantum mediated communication, that is, the quantum internet. The particular focus is on two and three player games where each player has precisely two pure strategic choices. The main result of this work is the co-ordinatization of the quantum payoff functions by either the quaternions or octonions in order to obtain computationally friendly versions of these functions. This computational capability is then exploited to analyze and potentially classify the Nash equilibria in the quantized games. This book is intended for students and scholars who are interested in quantum information and game theory. Although the book is sufficiently self-contained, it is assumed that the reader has already had some exposure to linear algebra and quantum information theory.

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