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Classical vs Quantum Games: Continuous-time Evolutionary Strategy Dynamics (1104.3953v1)
Published 20 Apr 2011 in quant-ph, cs.GT, cs.IT, and math.IT
Abstract: This paper unifies the concepts of evolutionary games and quantum strategies. First, we state the formulation and properties of classical evolutionary strategies, with focus on the destinations of evolution in 2-player 2-strategy games. We then introduce a new formalism of quantum evolutionary dynamics, and give an example where an evolving quantum strategy gives reward if played against its classical counterpart.