Hierarchical network formation games in the uplink of multi-hop wireless networks

Walid Saad, Quanyan Zhu, Tamer Başar, Zhu Han, Are Hjørungnes

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


In this paper, we propose a game theoretic approach to tackle the problem of the distributed formation of the hierarchical network architecture that connects the nodes in the uplink of a wireless multi-hop network. Unlike existing literature which focused on the performance assessment of hierarchical multi-hop networks given an existing topology, this paper investigates the problem of the formation of this topology among a number of nodes that seek to send data in the uplink to a central base station through multihop. We model the problem as a hierarchical network formation game and we divide the network into different hierarchy levels, whereby the nodes belonging to the same level engage in a non-cooperative Nash game for selecting their next hop. As a solution to the game, we propose a novel equilibrium concept, the hierarchical Nash equilibrium, for a sequence of multi-stage Nash games, which can be found by backward induction analytically. For finding this equilibrium, we propose a distributed myopic dynamics algorithm, based on fictitious play, in which each node computes the mixed strategies that maximize its utility which represents the probability of successful transmission over the multi-hop communication path in the presence of interference. Simulation results show that the proposed algorithm presents significant gains in terms of average achieved expected utility per user up to 125.6% relative to a nearest neighbor algorithm.

Original languageEnglish (US)
Title of host publicationGLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference
StatePublished - 2009
Event2009 IEEE Global Telecommunications Conference, GLOBECOM 2009 - Honolulu, HI, United States
Duration: Nov 30 2009Dec 4 2009

Publication series

NameGLOBECOM - IEEE Global Telecommunications Conference


Other2009 IEEE Global Telecommunications Conference, GLOBECOM 2009
Country/TerritoryUnited States
CityHonolulu, HI

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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