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Quantum strategies win in a defector-dominated population

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  • Li, Qiang
  • Iqbal, Azhar
  • Chen, Minyou
  • Abbott, Derek

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, Newman–Watts 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.

Suggested Citation

  • Li, Qiang & Iqbal, Azhar & Chen, Minyou & Abbott, Derek, 2012. "Quantum strategies win in a defector-dominated population," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3316-3322.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:11:p:3316-3322
    DOI: 10.1016/j.physa.2012.01.048
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    Cited by:

    1. Zhang, Cuihua & Xing, Peng, 2015. "A research on service quality decision-making of Chinese communications industry based on quantum game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 9-15.
    2. Angsheng Li & Xi Yong, 2015. "Emergence of Super Cooperation of Prisoner’s Dilemma Games on Scale-Free Networks," PLOS ONE, Public Library of Science, vol. 10(2), pages 1-24, February.
    3. Iqbal, Azhar & Chappell, James M. & Abbott, Derek, 2015. "Social optimality in quantum Bayesian games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 798-805.

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