Skip to main content
SpringerLink
Log in

Cooperation and distributed optimization for the unreliable wireless game with indirect reciprocity

  • Research Paper
  • Special Focus on Distributed Cooperative Analysis, Control and Optimization in Networks
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

Abstract

Cooperation in packet forwarding among users and operators of a distributed wireless network has been widely studied. However, because of the limited computational resources, users in wireless communication do not prefer to cooperate with others unless cooperation may improve their own performance. Therefore, the key problem in cooperation enforcement must be solved first to enable a wireless network to be efficient. Yet, most of the existing game-theoretic cooperation stimulation approaches assume that the interactions between any pair of players (users) are long-lasting. In this paper, we apply game theory to optimize the communication efficiency of a distributed wireless network with finite number of interactions between any pair of players. Based on the mechanism of indirect reciprocity, we theoretically analyze the optimal action rule with the method of dynamic programming, and derive the approximate threshold of benefit-to-cost ratio to achieve the optimal action rule. Furthermore, we adopt the replicator dynamics to assess the evolutionary stability of the optimal action rule against the perturbation effect. Numerical illustrations verify the performance of the proposed method on wireless cooperation.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Song L, Niyato D, Han Z, et al. Wireless Device-to-Device Communications and Networks. Cambridge: Cambridge University Press, 2015. 1–32

    Book  Google Scholar 

  2. Liu K J R, Sadek A K, Su W F, et al. Cooperative Communications and Networking. Cambridge: Cambridge University Press, 2009. 1–45

    MATH  Google Scholar 

  3. Xu Q, Zheng R, Saad W, et al. Device fingerprinting in wireless networks: challenges and opportunities. IEEE Commun Surv Tut, 2016, 18: 94–104

    Article  Google Scholar 

  4. Ku M L, Li W, Chen Y, et al. On energy harvesting gain and diversity analysis in cooperative communications. IEEE J Sel Areas Commun, 2015, 33: 2641–2657

    Article  Google Scholar 

  5. Jaramillo J J, Srikant R. DARWIN: distributed and adaptive reputation mechanism for wireless ad-hoc networks. In: Proceedings of 13th Annual ACM International Conference on Mobile Computing and Networking, Montreal, 2007. 87–97

    Google Scholar 

  6. Buttyán L, Hubaux J P. Stimulating cooperation in self-organizing ad hoc networks. ACM/Kluwer Mobile Netw Appl, 2003, 8: 579–592

    Article  Google Scholar 

  7. Crowcroft J, Gibbens R, Kelly F, et al. Modelling incentives for collaboration in mobile ad hoc networks. Perform Eval, 2004, 57: 427–439

    Article  Google Scholar 

  8. Zhong S, Chen J, Yang Y R. Sprite: a simple, cheat-proof, credit-based system for mobile ad-hoc networks. In: Proceedings of the 22nd Annual Joint Conference of the IEEE Computer and Communications, San Francisco, 2003. 1987–1997

    Google Scholar 

  9. Janzadeh H, Fayazbakhsh K, Dehghan M, et al. A secure credit-based cooperation stimulating mechanism for MANETs using hash chains. Future Generat Comput Syst, 2009, 25: 926–934

    Article  Google Scholar 

  10. Wang L, Liao X K, Xue J L, et al. Enhancement of cooperation between file systems and applications-VFS extensions for optimized performance. Sci China Inf Sci, 2015, 58: 092104

    Google Scholar 

  11. Michiardi P, Molva R. CORE: a collaborative reputation mechanism to enforce node cooperation in mobile ad hoc networks. In: Advanced Communications and Multimedia Security. Boston: Springer, 2002. 107–121

    Chapter  Google Scholar 

  12. He Q, Wu D, Khosla P. SORI: a secure and objective reputation-based incentive scheme for ad-hoc networks. In: Proceedings of IEEE Wireless Communications and Networking Conference, Atlanta, 2004. 825–830

    Google Scholar 

  13. Balakrishnan K, Deng J, Varshney V K. TWOACK: preventing selfishness in mobile ad hoc netwotks. In: Proceedings of IEEE Wireless Communications and Networking Conference, New orleans, 2005. 2137–2142

    Google Scholar 

  14. Refaei M T, DaSilva L A, Eltoweissy M, et al. Adaptation of reputation management systems to dynamic network conditions in ad hoc networks. IEEE Trans Comput, 2010, 59: 707–719

    Article  MathSciNet  MATH  Google Scholar 

  15. Mejia M, Pe˜na N, Mu˜noz J L, et al. DECADE: distributed emergent cooperation through adaptive evolution in mobile ad hoc networks. Ad Hoc Netw, 2012, 10: 1379–1398

    Article  Google Scholar 

  16. Akkarajitsakul K, Hossain E, Niyato D. Coalition-based cooperative packet delivery under uncertainty: a dynamic Bayesian coalitional game. IEEE Trans Mob Comput, 2013, 12: 371–385

    Article  Google Scholar 

  17. Duarte P B F, Fadlullah Md Z, Vasilakos A V, et al. On the partially overlapped channel assignment on wireless mesh network backbone: a game theoretic approach. IEEE J Sel Areas Comm, 2012, 30: 119–127

    Article  Google Scholar 

  18. Yang Y H, Chen Y, Jiang C X, et al. Wireless network association game with data-driven statistical modeling. IEEE Trans Wirel Commun, 2016, 15: 512–524

    Article  Google Scholar 

  19. Xiao Y, Niyato D, Chen K C, et al. Enhance device-to-device communication with social-awareness: a belief-based stable marriage game framework. IEEE Wirel Commun, 2016, 23: 36–44

    Article  Google Scholar 

  20. Xu C B, Zhao Y L, Zhang J F. Decision-implementation complexity of cooperative game systems. Sci China Inf Sci, 2017, 60: 112201

    Article  Google Scholar 

  21. Srinivasan V, Nuggehalli P, Chiasserini C F, et al. Cooperation in wireless ad hoc networks. In: Proceedings of the 22nd Annual Joint Conference of the IEEE Computer and Communications, San Francisco, 2003. 808–817

    Google Scholar 

  22. Félegyházi M, Hubaux J P, Buttyan L. Nash equilibria of packet forwarding strategies in wireless ad hoc networks. IEEE Trans Mobile Comput, 2006, 5: 463–476

    Article  Google Scholar 

  23. Yu W, Liu K J R. Game theoretic analysis of cooperation stimulation and security in antonomous mobile ad hoc networks. IEEE Trans Mobile Comput, 2007, 6: 507–521

    Article  Google Scholar 

  24. Akkarajitsakul K, Hossain E, Niyato D. Cooperative packet delivery in hybrid wireless mobile networks: a coalitional game approach. IEEE Trans Mobile Comput, 2013, 12: 840–854

    Article  Google Scholar 

  25. Zhang H Q, Niyato D, Song L Y, et al. Zero-determinant strategy for resource sharing in wireless cooperations. IEEE Trans Wirel Commun, 2016, 15: 2179–2192

    Article  Google Scholar 

  26. Li Z, Shen H. Game-theoretic analysis of cooperation incentive strategies in mobile ad hoc networks. IEEE Trans Mobile Comput, 2012, 11: 1287–1303

    Article  Google Scholar 

  27. Seredynski M, Bouvry P. Evolutionary game theoretical analysis of reputation-based packet forwarding in civilian mobile ad hoc networks. In: Proceedings of IEEE International Symposium on Parallel & Distributed Processing, Rome, 2009. 1–8

    Google Scholar 

  28. Song L, Niyato D, Han Z, et al. Game-theoretic resource allocation methods for device-to-device (D2D) communication. IEEE Wirel Commun, 2014, 21: 136–144

    Article  Google Scholar 

  29. Jiang C X, Chen Y, Liu K J R. Multi-channel sensing and access game: bayesian social learning with negative network externality. IEEE Trans Wirel Commun, 2014, 13: 2176–2188

    Article  Google Scholar 

  30. Xiao Y, Niyato D, Han Z. Dynamic energy trading for energy harvesting communication networks: a stochastic energy trading game. IEEE J Sel Areas Commun, 2015, 33: 2718–2734

    Article  Google Scholar 

  31. Akkarajitsakul K, Hossain E, Niyato D, et al. Game theoretic approaches for multiple access in wireless networks: a survey. IEEE Commun Surv Tut, 2011, 13: 372–395

    Article  Google Scholar 

  32. Khan M A, Tembine H, Vasilakos A V. Evolutionary coalitional games: design and challenges in wireless networks. IEEE Wirel Commun, 2012, 19: 50–56

    Article  Google Scholar 

  33. Hoang D T, Lu X, Niyato D, et al. Applications of repeated games in wireless networks: a survey. IEEE Commun Surv Tut, 2015, 17: 2102–2135

    Article  Google Scholar 

  34. Ji Z, Yu W, Liu K J R. A belief evaluation framework in autonomous MANETs under noisy and imperfect observation: vulnerability analysis and cooperation enforcement. IEEE Trans Mobile Comput, 2010, 9: 1242–1254

    Article  Google Scholar 

  35. Wang W, Chatterjee M, Kwiat K. Cooperation in wireless networks with unreliable channels. IEEE Trans Commun, 2011, 59: 2808–2817

    Article  Google Scholar 

  36. Nowak M A, Sigmund K. Evolution of indirect reciprocity. Nature, 2005, 437: 1291–1298

    Article  Google Scholar 

  37. Chen Y, Liu K J R. Indirect reciprocity game modelling for cooperation stimulation in cognitive networks. IEEE Trans Commun, 2011, 59: 159–168

    Article  MathSciNet  Google Scholar 

  38. Tang C B, Li A, Li X. When reputation enforces evolutionary cooperation in unreliable MANETs. IEEE Trans Cybern, 2015, 45: 2190–2201

    Article  Google Scholar 

  39. Tanabe S, Suzuki H, Masuda N. Indirect reciprocity with trinary reputations. J Theor Biol, 2013, 317: 338–347

    Article  MathSciNet  MATH  Google Scholar 

  40. Pacheco J M, Santos F C, Chalub F A C C. Stern-Judging: a simple, successful norm which promotes cooperation under indirect reciprocity. PLoS Comput Biol, 2006, 2: 1634–1638

    Article  Google Scholar 

  41. Hofbauer J, Sigmund K. Evolutionary Games and Population Dynamics. Cambridge: Cambridge University Press, 1998. 92–95

    Book  MATH  Google Scholar 

  42. Ohtsuki H, Iwasa Y, Nowak M A. Indirect reciprocity provides only a narrow margin of efficiency for costly punishment. Nature, 2009, 457: 79–82

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by National Science Fund for Distinguished Young Scholar of China (Grant No. 61425019), Key Projects of National Natural Science Foundation of China (Grant No. 71731004), National Natural Science Foundation of China (Grant Nos. 61403059, 61503342, 11572288, 61672468), and Zhejiang Provincial Natural Science Foundation of China (Grant Nos. LY15F020013, LY16F030002).

Author information

Authors and Affiliations

  1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, 321004, China

    Changbing Tang & Jianmin Han

  2. Adaptive Networks and Control Lab, Department of Electronic Engineering, Fudan University, Shanghai, 200433, China

    Xiang Li

  3. Research Center of Smart Networks and Systems, Fudan University, Shanghai, 200433, China

    Xiang Li

  4. School of Cyberspace, Hangzhou Dianzi University, Hangzhou, 310018, China

    Zhen Wang

Authors
  1. Changbing Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiang Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhen Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jianmin Han
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiang Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tang, C., Li, X., Wang, Z. et al. Cooperation and distributed optimization for the unreliable wireless game with indirect reciprocity. Sci. China Inf. Sci. 60, 110205 (2017). https://doi.org/10.1007/s11432-017-9165-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-017-9165-7

Keywords

Search

Navigation