Game Theoretic Distributed Power Control Algorithms for Uplink Wireless Data in Flat Fading Channels

Mohammad Suleiman Hayajneh, Chaouki Abdallah


In this paper we present a game-theoretic power control algorithms for wireless data in CDMA cellular systems under two realistic channels: (a1) Fast flat fading channel and (a2) Slow flat fading channel. The fading coefficients under both (a1) and (a2) are studied for three appropriate small scale channel models that are used in the CDMA cellular systems: Rayleigh channel, Rician channel and Nakagami channel. This work is inspired by the results presented by [1] under nonfading channels. In other words, we study the impact of the realistic channel models on the findings in [1] through the followings: we evaluate the average utility function, the average number of bits received correctly at the receiver per one Joule expended, for each channel model. Then, using the average utility function we study the existence, uniqueness of Nash equilibrium (NE) if it exists, and the social desirability of NE in the Pareto sense. Results show that in a non-cooperative game (NPG) the best policy for all users in the cell is to target a fixed signal-to-interference and noise ratio (SINR) similar to what was shown in [1] for non-fading channel. The difference however is that the target SINR in fading channels is much higher than that in a non-fading channel. Also, for spreading gain less than or equal to 100, both NPG and non-cooperative power control game with pricing (NPGP) perform poorly, where all the terminals except the nearest one were not able to attain their corresponding minimum SINR even if sending at the maximum powers in their strategy spaces.


Code-division-multiple-access (CDMA), utility function, power control, game theory, non-cooperative game (NPG), wireless data

Full Text:



C. U. Saraydar, N. B. Mandayam, D. J. Goodman (2002); Efficient power control via pricing in wireless data networks, IEEE Tras. Comm., 50(2): 91-303.

V. Shah, N. B. Mandayam, and D. J. Goodman (1998); Power control for wireless data based on utility and pricing, Proceedings of PIMRC, 1427-1432.

C. U. Saraydar, N. B. Mandayam, and D. J. Goodman (2001); Pricing and power control in multicell wireless data network, IEEE JSAC, 19(10): 1883-1892.

T. Alpcan, T. Basar,R. Srikant, and E. Altman (2001); CDMA Uplink Power Control as a Noncooperative Game, Proc. IEEE Conference on Decision and Control, 197-202.

H. Ji and C.-Y. Huang (1998); Non-cooperative Uplink Power Control in Cellular Radio Systems, Wireless Networks, 4(3): 233-240.

M. Xiao, N.Schroff, and E. Chong (2001); Utility Based Power Control in Cellular Radio Systems, Proc. of Infocomm, DOI:10.1109/INFCOM.2001.916724, 1: 412-421.

Sarma Gunturi, Paganini, F. (2003); Game theoretic approach to power control in cellular CDMA, IEEE 58th Vehicular Technology Conference, 2003 (VTC 2003-Fall), 4: 2362-2366.

M. Hayajneh and C. T. Abdallah (2004); Distributed Joint Rate and Power Control Game- Theoretic Algorithms for Wireless Data, IEEE Comm. Letters, 8(8): 511-513.

C.W. Sung, K.K. Leung (2005); A generalized framework for distributed power control in wireless networks, IEEE Trans. Info. Theory, 51(7): 2625-2635.

D. Fudenberg and J. Tirole (1991); Game Theory, The MIT Press, 1991.

J. Zander (1992); Distributed cochannel interference control in cellular radio systems, IEEE Tran. Veh. Tchnol., 41: 305-311.

R. D. Yates (1995); A framework for uplink power control in cellular radio systems, IEEE Journal on Selected Areas in Communication, 13(7): 1341-1347.

J. G. Proaki (2000); Digital Communications, The McGraw Hill Press 1221 Avenue of the Americas, New York, NY 10020, 2000.

Wang, J. T. (2005); Centralized and distributed power control algorithms for multimedia CDMA networks, International Journal of Communication Systems, doi: 10.1002/dac.696, 18: 179-189,

T. Alpcan, X. Fan, T. Basar, M. Arcak, J. T.Wen (2008); Power control for multicell CDMA wireless networks: A team optimization approach, Wireless Networks, 14(5): 647-657.

Wang, J. T. (2011); Joint rate regulation and power control for cochannel interference limited wireless networks, International Journal of Communication Systems, doi: 10.1002/dac.1203, 24(8): 967-977.

Roger L. Peterson, Rodger E. Ziemer and David E. Borth (1995); Introduction to Spread Spectrum Communications, Prentice Hall, Upper Saddle River, NJ, 1995.

J. V. Neumann and O. Morgenstern (1994); Theory of Games and Economic Behavior, Princeton University Press, Princeton, 1944.

Don Ross (1999); What People Want: The concept of utility from Bentham to game theory, University of Cape Town Press, South Africa, 1999.

I. S. Gradshteyn and I. M. Ryzhik (1980); Table of Integrals, Series, And Products, Academic Press, New York 1980.

V. V. Petrov (1995); Limit Theorems of Probability Theory: Sequences of Independent random variables, Clarendon Press, Oxford, 1995.


Copyright (c) 2017 Mohammad Suleiman Hayajneh, Chaouki Abdallah

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

CC-BY-NC  License for Website User

Articles published in IJCCC user license are protected by copyright.

Users can access, download, copy, translate the IJCCC articles for non-commercial purposes provided that users, but cannot redistribute, display or adapt:

  • Cite the article using an appropriate bibliographic citation: author(s), article title, journal, volume, issue, page numbers, year of publication, DOI, and the link to the definitive published version on IJCCC website;
  • Maintain the integrity of the IJCCC article;
  • Retain the copyright notices and links to these terms and conditions so it is clear to other users what can and what cannot be done with the  article;
  • Ensure that, for any content in the IJCCC article that is identified as belonging to a third party, any re-use complies with the copyright policies of that third party;
  • Any translations must prominently display the statement: "This is an unofficial translation of an article that appeared in IJCCC. Agora University  has not endorsed this translation."

This is a non commercial license where the use of published articles for commercial purposes is forbiden. 

Commercial purposes include: 

  • Copying or downloading IJCCC articles, or linking to such postings, for further redistribution, sale or licensing, for a fee;
  • Copying, downloading or posting by a site or service that incorporates advertising with such content;
  • The inclusion or incorporation of article content in other works or services (other than normal quotations with an appropriate citation) that is then available for sale or licensing, for a fee;
  • Use of IJCCC articles or article content (other than normal quotations with appropriate citation) by for-profit organizations for promotional purposes, whether for a fee or otherwise;
  • Use for the purposes of monetary reward by means of sale, resale, license, loan, transfer or other form of commercial exploitation;

    The licensor cannot revoke these freedoms as long as you follow the license terms.

[End of CC-BY-NC  License for Website User]

INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (IJCCC), With Emphasis on the Integration of Three Technologies (C & C & C),  ISSN 1841-9836.

IJCCC was founded in 2006,  at Agora University, by  Ioan DZITAC (Editor-in-Chief),  Florin Gheorghe FILIP (Editor-in-Chief), and  Misu-Jan MANOLESCU (Managing Editor).

Ethics: This journal is a member of, and subscribes to the principles of, the Committee on Publication Ethics (COPE).

Ioan  DZITAC (Editor-in-Chief) at COPE European Seminar, Bruxelles, 2015:

IJCCC is covered/indexed/abstracted in Science Citation Index Expanded (since vol.1(S),  2006); JCR2018: IF=1.585..

IJCCC is indexed in Scopus from 2008 (CiteScore2018 = 1.56):

Nomination by Elsevier for Journal Excellence Award Romania 2015 (SNIP2014 = 1.029): Elsevier/ Scopus

IJCCC was nominated by Elsevier for Journal Excellence Award - "Scopus Awards Romania 2015" (SNIP2014 = 1.029).

IJCCC is in Top 3 of 157 Romanian journals indexed by Scopus (in all fields) and No.1 in Computer Science field by Elsevier/ Scopus.


 Impact Factor in JCR2018 (Clarivate Analytics/SCI Expanded/ISI Web of Science): IF=1.585 (Q3). Scopus: CiteScore2018=1.56 (Q2);

SCImago Journal & Country Rank

Editors-in-Chief: Ioan DZITAC & Florin Gheorghe FILIP.