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Type: Journal article
Title: On the equivalence between non-factorizable mixed-strategy classical games and quantum games
Author: Iqbal, A.
Chappell, J.
Abbott, D.
Citation: Royal Society Open Science, 2016; 3(1):1-11
Publisher: The Royal Society
Issue Date: 2016
ISSN: 2054-5703
Statement of
Azhar Iqbal, James M. Chappell, Derek Abbott
Abstract: A game-theoretic setting provides a mathematical basis for analysis of strategic interaction among competing agents and provides insights into both classical and quantum decision theory and questions of strategic choice. An outstanding mathematical question is to understand the conditions under which a classical game-theoretic setting can be transformed to a quantum game, and under which conditions there is an equivalence. In this paper, we consider quantum games as those that allow non-factorizable probabilities. We discuss two approaches for obtaining a non-factorizable game and study the outcome of such games. We demonstrate how the standard version of a quantum game can be analysed as a non-factorizable game and determine the limitations of our approach.
Keywords: game theory; quantum games; quantum probability
Rights: © 2016 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License, which permits unrestricted use, provided the original author and source are credited.
RMID: 0030043815
DOI: 10.1098/rsos.150477
Appears in Collections:Electrical and Electronic Engineering publications

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