Stability of multipacket slotted Aloha with selfish users and perfect information

Aloha is perhaps the simplest and most-studied medium access control protocol in existence. Only in the recent past, however, have researchers begun to study the performance of Aloha in the presence of selfish users. In this paper, we present a game-theoretic model of multipacket slotted Aloha with perfect information. We show that this model must have an equilibrium and we characterize this equilibrium. Using the tools of stochastic processes, we then establish the equilibrium stability region for some well-known channel models.

[1]  Christos Douligeris.  Multiobjective flow control in telecommunication networks , 1992, [Proceedings] IEEE INFOCOM '92: The Conference on Computer Communications.

[2]  Stuart C. Schwartz,et al.  Stability properties of slotted Aloha with multipacket reception capability , 1988 .

[3]  Christian Namislo.  Analysis of mobile radio slotted ALOHA networks , 1984, IEEE Transactions on Vehicular Technology.

[4]  S.A. Gronemeyer,et al.  Advances in packet radio technology , 1978, Proceedings of the IEEE.

[5]  Hans-Joachim Langen,et al.  Convergence of Dynamic Programming Models , 1981, Math. Oper. Res..

[6]  Anastasios A. Economides,et al.  A game theory approach to cooperative and non-cooperative routing problems , 1990, SBT/IEEE International Symposium on Telecommunications.

[7]  Bruce Hajek,et al.  Decentralized dynamic control of a multiaccess broadcast channel , 1982 .

[8]  D. Blackwell.  Discounted Dynamic Programming , 1965 .

[9]  Norman Abramson,et al.  The Throughput of Packet Broadcasting Channels , 1977, IEEE Trans. Commun..

[10]  Lawrence G. Roberts,et al.  ALOHA packet system with and without slots and capture , 1975, CCRV.

[11]  Cem U. Saraydar,et al.  Pareto efficiency of pricing-based power control in wireless data networks , 1999, WCNC. 1999 IEEE Wireless Communications and Networking Conference (Cat. No.99TH8466).

[12]  Zhensheng Zhang,et al.  Performance analysis of multiple access protocols for CDMA cellular and personal communications services , 1993, IEEE INFOCOM '93 The Conference on Computer Communications, Proceedings.

[13]  I. Glicksberg.  A FURTHER GENERALIZATION OF THE KAKUTANI FIXED POINT THEOREM, WITH APPLICATION TO NASH EQUILIBRIUM POINTS , 1952 .

[14]  Ronald L. Rivest,et al.  Network control by Bayesian broadcast , 1987, IEEE Trans. Inf. Theory.

[15]  K. Fan.  Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces. , 1952, Proceedings of the National Academy of Sciences of the United States of America.

[16]  Ariel Orda,et al.  Competitive routing in multiuser communication networks , 1993, TNET.

[17]  A. G. Pakes,et al.  Some Conditions for Ergodicity and Recurrence of Markov Chains , 1969, Oper. Res..

[18]  J. Nash.  Equilibrium Points in N-Person Games. , 1950, Proceedings of the National Academy of Sciences of the United States of America.

[19]  Stephen B. Wicker,et al.  Game theory and the design of self-configuring, adaptive wireless networks , 2001, IEEE Commun. Mag..

[20]  W. Szpankowski.  Analysis and Stability Considerations in a Reservation Multiaccess System , 1983, IEEE Trans. Commun..

[21]  D. Campana,et al.  Spread-spectrum communications , 1993, IEEE Potentials.

[22]  Ariel Rubinstein,et al.  A Course in Game Theory , 1995 .

[23]  Stuart C. Schwartz,et al.  Optimal decentralized control in the random access multipacket channel , 1989 .

[24]  David J. Goodman,et al.  Power control for wireless data based on utility and pricing , 1998, Ninth IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (Cat. No.98TH8361).

[25]  Norman M. Abramson,et al.  THE ALOHA SYSTEM: another alternative for computer communications , 1899, AFIPS '70 (Fall).

[26]  Stephen B. Wicker,et al.  Selfish users in Aloha: a game-theoretic approach , 2001, IEEE 54th Vehicular Technology Conference. VTC Fall 2001. Proceedings (Cat. No.01CH37211).

[27]  Tim Roughgarden,et al.  How bad is selfish routing? , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.

[28]  Scott Shenker,et al.  Making greed work in networks: a game-theoretic analysis of switch service disciplines , 1994 .