Skip to main content

KSBS Solution of Power Allocation in Multi-user Multi-relay Networks Using Stackelberg Game

  • Conference paper
  • First Online:
Recent Advances in Information and Communication Technology 2016

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 463))

  • 503 Accesses

Abstract

This paper considers a multi-user multi-relay network. The relay power allocation among the users and pricing problem are studied. We model the interaction between the relay and users as a Stackelberg game, where the relay is the leader who gets paid for helping users forward signal, and user is the followers who pay to receive relay service. For the relay power allocation, a bargaining game is deployed to model the negotiation among the users on relay power allocation. We propose the Kailai–Smorodinsky Bargaining Solution (KSBS) of bargaining game in order to formulate the relay power allocation. Simulation results are shown the proposed KSBS-based scheme has better network sum-rate than even power allocation and achieves close-to-sum-rate-optimal solution.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Nosratinia, A., Hunter, T.E., Hedayat, A.: Cooperative communication in wireless networks. IEEE Commun. Mag. 42(10), 74–80 (2004)

    Article  Google Scholar 

  2. Laneman, L.N., Tse, D.N.C., Wornell, G.W.: Cooperative diversity in wireless networks: efficient protocols and outage behavior. IEEE Trans. Inf. Theory 52(12), 3062–3080 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  3. Phan, K.T., Le, L.B., Vorobyov, S.A., Le-Ngoc, T.: Centralized and distributed power allocation in multi-user wireless relay networks. IEEE Int. Conf. Commun. (2009)

    Google Scholar 

  4. Phan, K.T., Le-Ngoc, T., Vorobyov, S.A., Tellambura, C.: Power allocation in wireless multi-user relay networks. IEEE Trans. Wireless Commun. 8(5), 2535–2545 (2009)

    Article  Google Scholar 

  5. Shen, Y., Feng, G., Yang, B., Guan, X.: Fair resource allocation and admission control in wireless multiuser amplify-and-forward relay networks. IEEE Trans. Veh. Technol. 61(3), 1383–1397 (2012)

    Article  Google Scholar 

  6. Wang, B., Han, Z., Liu, K.J.R.: Distributed relay selection and power control for multiuser cooperative communication networks using Stackelberg game. IEEE Trans. Mobile Comput. 8(7), 975–990 (2009)

    Article  Google Scholar 

  7. Al-Tous, H., Barhumi, I.: Resource allocation for AF cooperative communication using Stackelberg game. In: IEEE Trans. Signal Process. Commun. 1–6 (2012)

    Google Scholar 

  8. Cao, Q., Jing, Y., Zhao, H.V.: Power bargaining in multi-source relay networks. Proc. IEEE Commun. Conf. 3905–3909 (2012)

    Google Scholar 

  9. Cao, Q., Jing, Y., Zhao, H.V.: Power allocation in multi-user wireless relay networks through bargaining. IEEE Trans. Wireless Commun. 12(60), 2870–2882 (2013)

    Article  Google Scholar 

  10. Zhang, G., Yang, K., Chen, H.H.: Resource allocation for wireless cooperative networks: a unified cooperative bargaining game theoretic framework. IEEE Wireless Commun. Mag. 19(2), 38–43 (2012)

    Article  Google Scholar 

  11. Cao, Q., Zhao, H.V., Jing, Y.: Power allocation and pricing in multiuser relay networks using Stackelberg and bargaining games. IEEE Trans. Veh. Technol. 61(7), 3177–3190 (2012)

    Article  Google Scholar 

  12. Shen, Y., Feng, G., Yang, B., Guan, X.: Distributed fair resource allocation in wireless multi-user multi-relay networks with heterogeneous rate constraints. In: Proceedings of the IEEE ISCIT, pp. 333–338. Hangzhou (2011)

    Google Scholar 

  13. Rashid, U., Kha, H.H., Tuan, H.D., Nguyen, H.H.: Joint design of source power allocation and relay beamforming in multi-user wireless networks. IEEE Trans. Signal Process. Commun. 1–4 (2012)

    Google Scholar 

  14. Fudenberg, D., Tirole, J.: Game Theory. MIT Press, Cambridge, MA (1991)

    MATH  Google Scholar 

  15. Kalai, E., Smorodinsky, M.: Other solutions to Nash’s bargaining problem. Econometrica 43(3), 513–518 (1975)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Supenporn Somjit .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Somjit, S., Polpinit, P., Khunboa, C. (2016). KSBS Solution of Power Allocation in Multi-user Multi-relay Networks Using Stackelberg Game. In: Meesad, P., Boonkrong, S., Unger, H. (eds) Recent Advances in Information and Communication Technology 2016. Advances in Intelligent Systems and Computing, vol 463. Springer, Cham. https://doi.org/10.1007/978-3-319-40415-8_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-40415-8_26

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40414-1

  • Online ISBN: 978-3-319-40415-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics