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|Title:||Evolution of quantum and classical strategies on networks by group interactions|
|Citation:||New Journal of Physics, 2012; 14(10):1-13|
|Publisher:||Institute of Physics Publishing Ltd.|
|Qiang Li, Azhar Iqbal, Minyou Chen and Derek Abbott|
|Abstract:||In this paper, quantum strategies are introduced within evolutionary games in order to investigate the evolution of quantum and classical strategies on networks in the public goods game. Comparing the results of evolution on a scale-free network and a square lattice, we find that a quantum strategy outperforms the classical strategies, regardless of the network. Moreover, a quantum strategy dominates the population earlier in group interactions than it does in pairwise interactions. In particular, if the hub node in a scale-free network is occupied by a cooperator initially, the strategy of cooperation will prevail in the population. However, in other situations, a quantum strategy can defeat the classical ones and finally becomes the dominant strategy in the population.|
|Keywords:||Mathematical physics; Computational physics; Quantum information and quantum mechanics; Statistical physics and nonlinear systems|
|Rights:||© IOP Publishing Ltd and Deutsche Physikalische Gesellschaft|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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