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Stability of mixed Nash equilibria in symmetric quantum games

2001/06/30 by A. Iqbal, A. H. Toor
Physics and Astronomy · #quant-ph #nlin.AO

paper · pdf

published as Communications in Theoretical Physics. Vol. 42, No. 3, pp 335-338, 2004 · 8 pages, no figure, to appear in Communications in Theoretical Physics

arxiv created 2004/07/06 · arxiv updated 2009/11/30

Abstract

In bi-matrix games the Bishop-Cannings theorem of the classical evolutionary game theory does not permit pure evolutionarily stable strategies (ESSs) when a mixed ESS exists. We find the necessary form of two-qubit initial quantum states when a switch-over to a quantum version of the game also changes the evolutionary stability of a mixed symmetric Nash equilibrium.

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