Title
On the approximability of the range assignment problem on radio networks in presence of selfish agents
Abstract
We consider the range assignment problem in ad-hoc wireless networks in the context of selfish agents: A network manager aims to assigning transmission ranges to the stations in order to achieve strong connectivity of the network within a minimal overallpower consumption. Station is not directly controlled by the manager and may refuse to transmit with a certain transmission range because it might be costly in terms of power consumption.We investigate the existence of payment schemes which induce the stations to follow the decisions of a network manager in computing a range assignment, that is, truthful mechanisms for the range assignment problem. We provide both positive and negative results on the existence of truthful VCG-based mechanisms for this NP-hard problem. We prove that (i) in general, every polynomial-time truthful VCG-based mechanism computes a solution of cost far-off the optimum, unless P = NP and (ii) there exists a polynomial-time truthful VCG-based mechanism achieving constant approximation for practically relevant, still NP-hard versions, i.e., the metric and the well-spread case.
Year
DOI
Venue
2005
10.1016/j.tcs.2005.05.006
Theor. Comput. Sci.
Keywords
DocType
Volume
ad-hoc wireless network,Approximation algorithms,Energy consumption in wireless networks,truthful mechanism,range assignment,selfish agent,polynomial-time truthful VCG-based mechanism,certain transmission range,truthful VCG-based mechanism,network manager,Algorithmic mechanism design,range assignment problem,radio network,NP-hard problem,assigning transmission range
Journal
343
Issue
ISSN
Citations 
1-2
Theoretical Computer Science
8
PageRank 
References 
Authors
0.57
11
5
Name
Order
Citations
PageRank
Christoph Ambühl135718.50
Andrea E. F. Clementi2116885.30
Paolo Penna320216.42
Gianluca Rossi423521.60
Riccardo Silvestri5132490.84