### Abstract

In this paper we study a dynamic multiple access in distributed wireless networks with random number of users. We apply evolutionary game theoretic analysis to solve several problems: (a) We address the stability of Aloha-like systems with finitely many power levels. Specifically, we consider very large number of receivers distributed in several locations. Each of them receives packets from random number of users accessing the resource using Aloha-like algorithms. We provide an explicit expression for equilibria, correlated evolutionarily stable strategies, and prove some asymptotic stability results. (b) We apply correlation mechanism and evaluate the performance of random medium access when saturated users interact through interference. We introduce the benefit of correlation (BoC) to measure the gap between the probability of success at correlated evolutionarily stable strategies and the worst probability of success of evolutionarily stable strategies. We show that if only two power levels are available, the correlation mechanism reduces considerably the interference and the number of collisions. Moreover, the correlation mechanism is stable in long-term under several classes of bio-inspired evolutionary game dynamics. (c) Surprisingly, when the number of strategies is at least three, the correlation mechanisms do not improve the probability of success.

Original language | English (US) |
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Title of host publication | Proceedings of the 2009 International Conference on Game Theory for Networks, GameNets '09 |

Pages | 212-221 |

Number of pages | 10 |

DOIs | |

State | Published - Oct 20 2009 |

Event | 2009 International Conference on Game Theory for Networks, GameNets '09 - Istanbul, Turkey Duration: May 13 2009 → May 15 2009 |

### Other

Other | 2009 International Conference on Game Theory for Networks, GameNets '09 |
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Country | Turkey |

City | Istanbul |

Period | 5/13/09 → 5/15/09 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Networks and Communications
- Computer Vision and Pattern Recognition

### Cite this

*Proceedings of the 2009 International Conference on Game Theory for Networks, GameNets '09*(pp. 212-221). [5137404] https://doi.org/10.1109/GAMENETS.2009.5137404

**Correlated evolutionarily stable strategies in random medium access control.** / Hamidou, Tembine; Altman, Eitan; ElAzouzi, Rachid; Hayel, Yezekael.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 2009 International Conference on Game Theory for Networks, GameNets '09.*, 5137404, pp. 212-221, 2009 International Conference on Game Theory for Networks, GameNets '09, Istanbul, Turkey, 5/13/09. https://doi.org/10.1109/GAMENETS.2009.5137404

}

TY - GEN

T1 - Correlated evolutionarily stable strategies in random medium access control

AU - Hamidou, Tembine

AU - Altman, Eitan

AU - ElAzouzi, Rachid

AU - Hayel, Yezekael

PY - 2009/10/20

Y1 - 2009/10/20

N2 - In this paper we study a dynamic multiple access in distributed wireless networks with random number of users. We apply evolutionary game theoretic analysis to solve several problems: (a) We address the stability of Aloha-like systems with finitely many power levels. Specifically, we consider very large number of receivers distributed in several locations. Each of them receives packets from random number of users accessing the resource using Aloha-like algorithms. We provide an explicit expression for equilibria, correlated evolutionarily stable strategies, and prove some asymptotic stability results. (b) We apply correlation mechanism and evaluate the performance of random medium access when saturated users interact through interference. We introduce the benefit of correlation (BoC) to measure the gap between the probability of success at correlated evolutionarily stable strategies and the worst probability of success of evolutionarily stable strategies. We show that if only two power levels are available, the correlation mechanism reduces considerably the interference and the number of collisions. Moreover, the correlation mechanism is stable in long-term under several classes of bio-inspired evolutionary game dynamics. (c) Surprisingly, when the number of strategies is at least three, the correlation mechanisms do not improve the probability of success.

AB - In this paper we study a dynamic multiple access in distributed wireless networks with random number of users. We apply evolutionary game theoretic analysis to solve several problems: (a) We address the stability of Aloha-like systems with finitely many power levels. Specifically, we consider very large number of receivers distributed in several locations. Each of them receives packets from random number of users accessing the resource using Aloha-like algorithms. We provide an explicit expression for equilibria, correlated evolutionarily stable strategies, and prove some asymptotic stability results. (b) We apply correlation mechanism and evaluate the performance of random medium access when saturated users interact through interference. We introduce the benefit of correlation (BoC) to measure the gap between the probability of success at correlated evolutionarily stable strategies and the worst probability of success of evolutionarily stable strategies. We show that if only two power levels are available, the correlation mechanism reduces considerably the interference and the number of collisions. Moreover, the correlation mechanism is stable in long-term under several classes of bio-inspired evolutionary game dynamics. (c) Surprisingly, when the number of strategies is at least three, the correlation mechanisms do not improve the probability of success.

UR - http://www.scopus.com/inward/record.url?scp=70349991515&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349991515&partnerID=8YFLogxK

U2 - 10.1109/GAMENETS.2009.5137404

DO - 10.1109/GAMENETS.2009.5137404

M3 - Conference contribution

SN - 9781424441778

SP - 212

EP - 221

BT - Proceedings of the 2009 International Conference on Game Theory for Networks, GameNets '09

ER -