Tiered Spectrum Measurement Markets for Licensed Secondary Spectrum

  • Arnob GhoshEmail author
  • Randall Berry
  • Vaneet Aggarwal
Conference paper
Part of the Static & Dynamic Game Theory: Foundations & Applications book series (SDGTFA)


The recent framework for tiered spectrum sharing in the 3.5 GHz band allows for environmental sensing capability (ESC) operators to measure spectrum occupancy so as to enable commercial use of this spectrum when incumbent users are not present. Motivated by this, we consider a scenario in which two spectrum access (SA) firms seek to access a spectrum band for secondary access and must in turn purchase spectrum measurements from one of the two ESCs. Each SA has an exclusive licensed access to a spectrum band. Given the purchased measurements, the SAs compete on price to serve customers. We study how the ESCs’ cost of obtaining the spectrum measurement, the ESC’s prices, and the quality of the spectrum measurements impact the resulting market equilibrium between the SAs. In particular, we show that when the ESCs offer different qualities, the only equilibria that can exist are when both SAs purchase measurements from the same ESC.


Spectrum sharing Game theory CBRS 


  1. 1.
    Federal Communications Commission, “Amendment of the commission’s rules with regard to commercial operations in the 3550-3650 MHz band,” FCC 15-47 Report and order and second further notice of proposed rulemaking, April 2015.Google Scholar
  2. 2.
    Federal Communications Commission, “Wireless telecommunications bureau and office of engineering and technology conditionally approve seven spectrum access system administrators for the 3.5 GHZ band,” FCC Public Notice, Dec. 2016.Google Scholar
  3. 3.
    Federal Communications Commission, “Wireless telecommunications bureau and office of engineering and technology conditionally approve four environmental sensing capability operators for the 3.5 GHZ band,” FCC Public Notice, February 2018.Google Scholar
  4. 4.
    A. Ghosh, R. Berry, and V. Aggarwal, “Spectrum measurement markets for tiered spectrum access,” in 2018 IEEE International Conference on Communications (ICC), May 2018, pp. 1–6.Google Scholar
  5. 5.
    F. Zhang and W. Zhang, “Competition between wireless service providers: Pricing, equilibrium and efficiency,” in 2013 11th International Symposium on Modeling & Optimization in Mobile, Ad Hoc & Wireless Networks (WiOpt), IEEE, 2013, pp. 208–215.Google Scholar
  6. 6.
    P. Maillé, B. Tuffin, and J.-M. Vigne, “Competition between wireless service providers sharing a radio resource,” in International Conference on Research in Networking. Springer, 2012, pp. 355–365.Google Scholar
  7. 7.
    T. Nguyen, H. Zhou, R. Berry, M. Honig, and R. Vohra, “The cost of free spectrum,” Operations Research, vol. 64, no. 6, pp. 1217–1229, 2016.MathSciNetCrossRefGoogle Scholar
  8. 8.
    T. Nguyen, H. Zhou, R. A. Berry, M. L. Honig, and R. Vohra, “The impact of additional unlicensed spectrum on wireless services competition,” in 2011 IEEE Symposium on New Frontiers in Dynamic Spectrum Access Networks (DySPAN). IEEE, 2011, pp. 146–155.Google Scholar
  9. 9.
    C. Liu and R. A. Berry, “Competition with shared spectrum,” in 2014 IEEE International Symposium on Dynamic Spectrum Access Networks (DYSPAN). IEEE, 2014, pp. 498–509.Google Scholar
  10. 10.
    D. Acemoglu and A. Ozdaglar, “Competition and efficiency in congested markets,” Mathematics of Operations Research, vol. 32, no. 1, pp. 1–31, 2007.MathSciNetCrossRefGoogle Scholar
  11. 11.
    A. Hayrapetyan, E. Tardos, and T. Wexler, “A network pricing game for selfish traffic,” in Proc. of SIGACT-SIGOPS Symposium on Principles of Distributed Computing (PODC), 2005.Google Scholar
  12. 12.
    A. Ghosh, S. Sarkar, and R. Berry, “The value of side-information in secondary spectrum markets,” IEEE Journal on Selected Areas in Communications, vol. 35, no. 1, pp. 6–19, 2017.Google Scholar
  13. 13.
    K. Bimpikis, D. Crapis, and A. Tahbaz-Salehi, “Information sale and competition,” under submission.Google Scholar
  14. 14.
    X. Vives, “Duopoly information equilibrium: Cournot and bertrand,” Journal of economic theory, vol. 34, no. 1, pp. 71–94, 1984.MathSciNetCrossRefGoogle Scholar
  15. 15.
    R. J. Deneckere and D. Kovenock, “Bertrand-edgeworth duopoly with unit cost asymmetry,” Economic Theory, vol. 8, no. 1, pp. 1–25, Feb 1996. [Online]. Available: Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Industrial Engineering DepartmentPurdue UniversityWest LafayetteUSA
  2. 2.Department of EECSNorthwestern UniversityEvanstonUSA

Personalised recommendations