Quantum games: a review of the history, current state, and interpretation

FS Khan, N Solmeyer, R Balu, TS Humble - Quantum Information …, 2018 - Springer
We review both theoretical and experimental developments in the area of quantum games
since the inception of the subject circa 1999. We will also offer a narrative on the controversy …

A survey of quantum games

H Guo, J Zhang, GJ Koehler - Decision Support Systems, 2008 - Elsevier
This paper presents an overview and survey of a new type of game-theoretic setting based
on ideas emanating from quantum computing.(We provide a brief overview of quantum …

The relationship between quantum and classical correlation in games

A Brandenburger - Games and Economic behavior, 2010 - Elsevier
Quantum games have been argued to differ from classical games by virtue of the quantum-
mechanical phenomenon of entanglement. We formulate a baseline of classical correlation …

Quantum advantages in classically defined tasks

N Aharon, L Vaidman - Physical Review A—Atomic, Molecular, and Optical …, 2008 - APS
We analyze classically defined games for which a quantum team has an advantage over
any classical team. The quantum team has a clear advantage in games in which the players …

Correlated equilibria of classical strategic games with quantum signals

P La Mura - International Journal of Quantum Information, 2005 - World Scientific
Correlated equilibria are sometimes more efficient than the Nash equilibria of a game
without signals. We investigate whether the availability of quantum signals in the context of a …

Effects of adaptive degrees of trust on coevolution of quantum strategies on scale-free networks

Q Li, M Chen, M Perc, A Iqbal, D Abbott - Scientific reports, 2013 - nature.com
We study the impact of adaptive degrees of trust on the evolution of cooperation in the
quantum prisoner's dilemma game. In addition to the strategies, links between players are …

Quantum entanglement helps in improving economic efficiency

J Du, C Ju, H Li - Journal of Physics A: Mathematical and General, 2005 - iopscience.iop.org
We propose an economic regulation approach based on quantum game theory for the
government to reduce the abuses of oligopolistic competition. Theoretical analysis shows …

On the equivalence between non-factorizable mixed-strategy classical games and quantum games

A Iqbal, JM Chappell, D Abbott - Royal Society open …, 2016 - royalsocietypublishing.org
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 …

Probabilistic analysis of three-player symmetric quantum games played using the Einstein–Podolsky–Rosen–Bohm setting

A Iqbal, T Cheon, D Abbott - Physics Letters A, 2008 - Elsevier
This Letter extends our probabilistic framework for two-player quantum games to the
multiplayer case, while giving a unified perspective for both classical and quantum games …

A probabilistic approach to quantum Bayesian games of incomplete information

A Iqbal, JM Chappell, Q Li, CEM Pearce… - Quantum information …, 2014 - Springer
A Bayesian game is a game of incomplete information in which the rules of the game are not
fully known to all players. We consider the Bayesian game of Battle of Sexes that has …