## 92 Citations

The effect of quantum noise on multiplayer quantum game

- Physics
- 2007

It has recently been realized that quantum strategies have a great advantage over classical ones in quantum games. However, quantum states are easily affected by the quantum noise, resulting in…

Simulation of continuous variable quantum games without entanglement

- Physics
- 2011

A simulation scheme of quantum version of Cournot's duopoly is proposed, in which there is a new Nash equilibrium that may also be Pareto optimal without any entanglement involved. The unique…

31.Discrete Strategies for Multiplayer Games Using Quantum Formalism

- Economics
- 2017

This paper attempts to expand the quantum formalism of the prisoners’ dilemma to the N×2 and N×M games for N noncommunicating players who have to choose the unique one between a series of discrete choices and shows that the players individually prefer to pay high attention to the collective interests gradually.

Quantum approach to Bertrand duopoly

- Economics
- 2016

Two ways to write the Bertrand duopoly example in quantum theory in terms of quantum theory are used, one of which adapts the Li---Du---Massar scheme for the Cournot duopoly and the other is a simplified model that exploits a two qubit entangled state.

The effect of quantum noise on the restricted quantum game

- Physics
- 2006

It has recently been established that quantum strategies have great advantage over classical ones in quantum games. However, quantum states are easily affected by the quantum noise resulting in…

Kantian equilibria in classical and quantum symmetric games

- Economics
- 2021

The aim of the paper is to examine the notion of simple Kantian equilibrium in 2× 2 symmetric games and their quantum counterparts. We focus on finding the Kantian equilibrium strategies in the…

A new model for quantum games based on the Marinatto–Weber approach

- Physics
- 2013

The Marinatto–Weber approach to quantum games is a straightforward way to apply the power of quantum mechanics to classical game theory. In the simplest case, the quantum scheme is that players…

Relativistic quantum games in noninertial frames

- Physics
- 2011

We study the influence of the Unruh effect on quantum non-zero sum games. In particular, we investigate the quantum Prisoners’ Dilemma both for entangled and unentangled initial states and show that…

Simulation of the quantum Cournot duopoly game

- PhysicsPhysica A: Statistical Mechanics and its Applications
- 2019

## References

SHOWING 1-10 OF 31 REFERENCES

Experimental realization of quantum games on a quantum computer.

- PhysicsPhysical review letters
- 2002

It is shown that the game exhibits an intriguing structure as a function of the amount of entanglement with two thresholds which separate a classical region, an intermediate region, and a fully quantum region.

Quantum version of the Monty Hall problem

- Physics, Economics
- 2002

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…

Noisy quantum game

- Physics
- 2002

In a recent paper [D. A. Meyer, Phys. Rev. Lett. 82, 1052 (1999)], it has been shown that a classical zero-sum strategic game can become a winning quantum game for the player with a quantum device.…

Quantum Games and Quantum Strategies

- Physics
- 1999

We investigate the quantization of non-zero sum games. For the particular case of the Prisoners' Dilemma we show that this game ceases to pose a dilemma if quantum strategies are allowed for. We also…

Quantum strategies

- Economics
- 1998

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.

Playing a quantum game with a corrupted source

- Physics
- 2001

The quantum advantage arising in a simplified multiplayer quantum game is found to be a disadvantage when the game's qubit source is corrupted by a noisy ``demon.'' Above a critical value of the…

Backwards-induction outcome in a quantum game

- Economics
- 2002

In economics duopoly is a market dominated by two firms large enough to influence the market price. Stackelberg presented a dynamic form of duopoly that is also called ‘leader-follower’ model. We…