Coalitions in the quantum Minority game: Classical cheats and quantum bullies

@article{Flitney2007CoalitionsIT,
  title={Coalitions in the quantum Minority game: Classical cheats and quantum bullies},
  author={Adrian P. Flitney and Andrew D. Greentree},
  journal={Physics Letters A},
  year={2007},
  volume={362},
  pages={132-137}
}

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References

SHOWING 1-10 OF 93 REFERENCES

Multiplayer quantum Minority game with decoherence

A quantum version of the Minority game for an arbitrary number of agents is studied. When the number of agents is odd, quantizing the game produces no advantage to the players, however, for an even

Advantage of a quantum player over a classical one in 2 × 2 quantum games

  • A. FlitneyD. Abbott
  • Physics
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2003
We study a general 2 × 2 symmetric entangled quantum game. When one player has access only to classical strategies, while the other can use the full range of quantum strategies, there are ‘miracle’

Quantum version of the Monty Hall problem

A version of the Monty Hall problem is presented where the players are permitted to select quantum strategies. If the initial state involves no entanglement the Nash equilibrium in the quantum game

Quantum correlation games

A new approach to play games quantum mechanically is proposed. We consider two players who perform measurements in an EPR-type setting. The payoff relations are defined as functions of correlations,

Quantum and classical correlations between players in game theory

Effects of quantum and classical correlations on game theory are studied to clarify the new aspects brought into game theory by the quantum mechanical toolbox. In this study, we compare quantum

Quantum strategies

It is proved that in general a quantum strategy is always at least as good as a classical one, and furthermore that when both players use quantum strategies there need not be any equilibrium, but if both are allowed mixed quantum strategiesthere must be.

LETTER TO THE EDITOR: Quantum correlations and Nash equilibria of a bi-matrix game

Playing a symmetric bi-matrix game is usually physical implemented by sharing pairs of 'objects' between two players. A new setting is proposed that explicitly shows effects of quantum correlations
...