Entanglement and dynamic stability of Nash equilibria in a symmetric quantum game

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 an initial state with classical probabil ities. 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 qua ntum. It happens even when the NE remains intact in both forms. (C) 2001 Pu blished by Elsevier Science B.V.