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

  title={Coalitions in the quantum Minority game: Classical cheats and quantum bullies},
  author={Adrian P. Flitney and Andrew D. Greentree},
  journal={Physics Letters A},

Figures and Tables from this paper

Strategies and payoffs in quantum minority games
This paper explores optimal and equilibrium solutions to quantum minority games, focusing on 4 and 6 player games with some N‐player generalizations.
Quantum Coalition of “n Equipartition” Compound Mode in Minority Game
We investigate the quantum coalition in an N-player quantum minority game proposed by Benjamin. N players share an initial entangled state and the measure of entanglement of the initial state is p.
Experimental implementation of a four-player quantum game
Game theory is central to the understanding of competitive interactions arising in many fields, from the social and physical sciences to economics. Recently, as the definition of information is
Analyzing Three-Player Quantum Games in an EPR Type Setup
Using GA, the formalism of Clifford Geometric Algebra is used to develop an analysis of quantum versions of three-player non-cooperative games and investigates the outcome of a realization of the game by players sharing GHZ state, W state, and a mixture of GHZ and W states.
Quantum solution to a three player Kolkata restaurant problem using entangled qutrits
It is shown that a better than classical payoff is achieved by a Nash equilibrium solution where the space of available strategies is spanned by subsets of SU(3) and the players share a tripartite entangled initial state.
On the equivalence between non-factorizable mixed-strategy classical games and quantum games
It is demonstrated how the standard version of a quantum game can be analysed as a non-factorizable game and the limitations of this approach are determined.
N-Player Quantum Games in an EPR Setting
By dispensing with the standard unitary transformations on state vectors in Hilbert space and using instead rotors and multivectors, based on Clifford’s geometric algebra, it is shown how the N-player case becomes tractable.
An introduction to multi-player, multi-choice quantum games
We give a self contained introduction to a few quantum game protocols, starting with the quantum version of the two-player two-choice game of Prisoners dilemma, followed by a n-player generalization


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. Flitney, D. 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