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Quantum game application to spectrum scarcity problems

Author

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  • Zabaleta, O.G.
  • Barrangú, J.P.
  • Arizmendi, C.M.

Abstract

Recent spectrum-sharing research has produced a strategy to address spectrum scarcity problems. This novel idea, named cognitive radio, considers that secondary users can opportunistically exploit spectrum holes left temporarily unused by primary users. This presents a competitive scenario among cognitive users, making it suitable for game theory treatment. In this work, we show that the spectrum-sharing benefits of cognitive radio can be increased by designing a medium access control based on quantum game theory. In this context, we propose a model to manage spectrum fairly and effectively, based on a multiple-users multiple-choice quantum minority game. By taking advantage of quantum entanglement and quantum interference, it is possible to reduce the probability of collision problems commonly associated with classic algorithms. Collision avoidance is an essential property for classic and quantum communications systems. In our model, two different scenarios are considered, to meet the requirements of different user strategies. The first considers sensor networks where the rational use of energy is a cornerstone; the second focuses on installations where the quality of service of the entire network is a priority.

Suggested Citation

  • Zabaleta, O.G. & Barrangú, J.P. & Arizmendi, C.M., 2017. "Quantum game application to spectrum scarcity problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 455-461.
    • Handle: RePEc:eee:phsmap:v:466:y:2017:i:c:p:455-461
    DOI: 10.1016/j.physa.2016.09.054
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    References listed on IDEAS

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    1. Vyacheslav I. Yukalov & Didier Sornette, 2015. "Role of Information in Decision Making of Social Agents," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 14(05), pages 1129-1166.
    2. Zabaleta, O.G. & Arizmendi, C.M., 2010. "Quantum dating market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2858-2863.
    3. Schmidt, Alexandre G.M. & da Silva, Ladário, 2013. "Quantum Russian roulette," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(2), pages 400-410.
    4. Pawela, Łukasz, 2016. "Quantum games on evolving random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 179-188.
    Full references (including those not matched with items on IDEAS)

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