ArticleRoyal Society open science2016
On the equivalence between non-factorizable mixed-strategy classical games and quantum games.
Article in Royal Society open science, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed.
- Joint Probabilities Approach to Quantum Games with Noise.Entropy (Basel, Switzerland) · 2023Article
- Dilemma breaking in quantum games by joint probabilities approach.Scientific reports · 2022Article
- Bistable probabilities: a unified framework for studying rationality and irrationality in classical and quantum games.Proceedings. Mathematical, physical, and engineering sciences · 2020Article
- Spatial correlated games.Royal Society open science · 2017Article
- A quantum Samaritan's dilemma cellular automaton.Royal Society open science · 2017Article
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3 authors.
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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.
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