A mean field game analysis of distributed MAC in ultra-dense multichannel wireless networks

Dheeraj Narasimha, Srinivas Shakkottai, Lei Ying

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

This paper analyzes the performance of distributed Medium Access Control (MAC) protocols in ultra-dense multichannel wireless networks, where N frequency bands (or channels) are shared by M = mN devices, and devices make decisions to probe and then transmit over available frequency bands. While such a system can be formulated as an M-player Bayesian game, it is often infeasible to compute the Nash equilibria of a large-scale system due to the curse of dimensionality. In this paper, we exploit the Mean Field Game (MFG) approach and analyze the system in the large population regime (N tends to ∞ and m is a constant). We consider a distributed and low complexity MAC protocol where each device probes d/k channels by following an exponential clock which ticks with rate k when it has a message to transmit, and optimizes the probing strategy to balance throughput and probing cost. We present a comprehensive analysis from the MFG perspective, including the existence and uniqueness of the Mean Field Nash Equilibrium (MFNE), convergence to the MFNE, and the price of anarchy with respect to the global optimal solution. Our analysis shows that the price of anarchy is at most one half, but is close to zero when the traffic load or the probing cost is low. Our numerical results confirm our analysis and show that the MFNE is a good approximation of the M-player system. Besides showing the efficiency of the considered MAC for emerging applications in ultra-dense multichannel wireless networks, this paper demonstrates the novelty of MFG analysis, which can be used to study other distributed MAC protocols in ultra-dense wireless networks.

Original languageEnglish (US)
Title of host publicationMobihoc 2019 - Proceedings of the 2019 20th ACM International Symposium on Mobile Ad Hoc Networking and Computing
PublisherAssociation for Computing Machinery
Pages1-10
Number of pages10
ISBN (Electronic)9781450367646
DOIs
StatePublished - Jul 2 2019
Event20th ACM International Symposium on Mobile Ad Hoc Networking and Computing, MobiHoc 2019 - Catania, Italy
Duration: Jul 2 2019Jul 5 2019

Publication series

NameProceedings of the International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc)

Conference

Conference20th ACM International Symposium on Mobile Ad Hoc Networking and Computing, MobiHoc 2019
CountryItaly
CityCatania
Period7/2/197/5/19

ASJC Scopus subject areas

  • Hardware and Architecture
  • Computer Networks and Communications
  • Software

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  • Cite this

    Narasimha, D., Shakkottai, S., & Ying, L. (2019). A mean field game analysis of distributed MAC in ultra-dense multichannel wireless networks. In Mobihoc 2019 - Proceedings of the 2019 20th ACM International Symposium on Mobile Ad Hoc Networking and Computing (pp. 1-10). (Proceedings of the International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc)). Association for Computing Machinery. https://doi.org/10.1145/3323679.3326498