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Type: Journal article
Title: Quantum strategies win in a defector-dominated population
Author: Li, Q.
Iqbal, A.
Chen, M.
Abbott, D.
Citation: Physica A: Statistical Mechanics and its Applications, 2012; 391(11):3316-3322
Publisher: Elsevier Science BV
Issue Date: 2012
ISSN: 0378-4371
Statement of
Qiang Li, Azhar Iqbal, Minyou Chen and Derek Abbott
Abstract: Quantum strategies are introduced into evolutionary games. The agents using quantum strategies are regarded as invaders, whose fraction generally is 1% of a population, in contrast to the 50% of the population that are defectors. In this paper, the evolution of strategies on networks is investigated in a defector-dominated population, when three networks (square lattice, NewmanWatts small-world network, and scale-free network) are constructed and three games (Prisoners' Dilemma, Snowdrift, and Stag-Hunt) are employed. As far as these three games are concerned, the results show that quantum strategies can always invade the population successfully. Comparing the three networks, we find that the square lattice is most easily invaded by agents that adopt quantum strategies. However, a scale-free network can be invaded by agents adopting quantum strategies only if a hub is occupied by an agent with a quantum strategy or if the fraction of agents with quantum strategies in the population is significant. © 2012 Elsevier B.V. All rights reserved.
Keywords: Quantum computation
Quantum game
Multi-agent system
Evolutionary game
Strategy evolution
Rights: © 2012 Elsevier B.V. All rights reserved.
DOI: 10.1016/j.physa.2012.01.048
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Electrical and Electronic Engineering publications

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