Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/98942
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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 2054-5703 |
Statement of Responsibility: | 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 http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
DOI: | 10.1098/rsos.150477 |
Published version: | http://dx.doi.org/10.1098/rsos.150477 |
Appears in Collections: | Aurora harvest 7 Electrical and Electronic Engineering publications |
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hdl_98942.pdf | Published version | 436.95 kB | Adobe PDF | View/Open |
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