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

Preprint

22 January 2001

preprint
Published by arXiv in arXiv

Abstract

We present an example of a symmetric quantum game for which a dynamically stable Nash equilibrium becomes unstable when the initial state used to play the quantum game is changed to 'entangled' from 'unentangled'. The game is played between two players via the proposed scheme of applying 'identity' and 'Pauli spin-flip' operators on the initial state with classical probabilities.

Keywords

DYNAMICALLY STABLE NASH
STABILITY OF NASH
SYMMETRIC QUANTUM
DYNAMIC STABILITY
NASH EQUILIBRIUM
INITIAL STATE
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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