|
|||||
|
|
Constructing quantum games from symmetric non-factorizable joint probabilities |
|
| Authors: | James M Chappell Azhar Iqbal Derek Abbott |
| Institution: | a School of Chemistry and Physics, University of Adelaide, South Australia 5005, Australia b School of Electrical and Electronic Engineering, University of Adelaide, South Australia 5005, Australia c Centre for Advanced Mathematics and Physics, National University of Sciences & Technology, Peshawar Road, Rawalpindi, Pakistan |
| Abstract: | We construct quantum games from a table of non-factorizable joint probabilities, coupled with a symmetry constraint, requiring symmetrical payoffs between the players. We give the general result for a Nash equilibrium and payoff relations for a game based on non-factorizable joint probabilities, which embeds the classical game. We study a quantum version of Prisoners' Dilemma, Stag Hunt, and the Chicken game constructed from a given table of non-factorizable joint probabilities to find new outcomes in these games. We show that this approach provides a general framework for both classical and quantum games without recourse to the formalism of quantum mechanics. |
| Keywords: | Quantum games Joint probability Quantum probability Nash equilibrium Non-factorizability Symmetric games |
| 本文献已被 ScienceDirect 等数据库收录！ | |