Entanglement and Dynamic Stability of Nash Equilibria in a Symmetric Quantum Game

Preprint

1 June 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0101106

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.

Keywords

CLASSICAL PROBABILITIES
STABILITY OF NASH
SYMMETRIC QUANTUM
DYNAMIC STABILITY
NASH EQUILIBRIA
QUANTUM GAME

All Related Versions

Version 1, 2001-01-22, ArXiv
Version 2, 2001-02-04, ArXiv
Version 3, 2001-06-01, ArXiv
Published version: Physics Letters A, 286 (4), 245.

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