Entanglement and Dynamic Stability of Nash Equilibria in a Symmetric Quantum Game
arXiv:quant-ph/0101106 · doi:10.1016/S0375-9601(01)00428-5
Abstract
We study the evolutionary stability of Nash equilibria (NE) in a symmetric quantum game played by the recently proposed scheme of applying `identity' and `Pauli spin flip' operators on the initial state with classical probabilities. We show that in this symmetric game dynamic stability of a NE can be changed when the game changes its form, for example, from classical to quantum. It happens even when the NE remains intact in both forms.
Latex,no figure,submitted to Physics Letters A
Cited by in corpus (15)
- Quantum version of the Monty Hall problem
- Quantum Parrondo's Games
- Quantum mechanics gives stability to a Nash equilibrium
- Backwards-induction outcome in a quantum game
- The next stage: quantum game theory
- Constructing quantum games from a system of Bell's inequalities
- Darwinism in quantum systems?
- Interference of Quantum Market Strategies
- Quantum Chinos Game: winning strategies through quantum fluctuations
- Non-factorizable Joint Probabilities and Evolutionarily Stable Strategies in the Quantum Prisoner's Dilemma Game
- Prisoners' Dilemma in Presence of Collective Dephasing
- Equilibria of Replicator Dynamics in Quantum Games
- Supersymmetry and quantum games
- Quantum strategies and evolutionary stability (in Urdu)
- Evolutionarily Stable Strategies in Quantum Hawk-Dove Game