title: On the equivalence between non-factorizable mixed-strategy classical games and quantum games.
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.
authors.affiliation: School of Electrical and Electronic Engineering , The University of Adelaide , Adelaide, South Australia 5005, Australia.
authors.forename: Azhar
authors.initials: A
authors.lastname: Iqbal
authors.affiliation: School of Electrical and Electronic Engineering , The University of Adelaide , Adelaide, South Australia 5005, Australia.
authors.forename: James M
authors.initials: JM
authors.lastname: Chappell
authors.affiliation: School of Electrical and Electronic Engineering , The University of Adelaide , Adelaide, South Australia 5005, Australia.
authors.forename: Derek
authors.initials: D
authors.lastname: Abbott
keywords: game theory; quantum games; quantum probability