NDLI: Cross-Monotonic Multicast

Content Provider	IEEE Xplore Digital Library
Author	Zongpeng Li
Copyright Year	2008
Description	Author affiliation: Dept. of Comput. Sci., Univ. of Calgary, Calgary, AB (Zongpeng Li)
Abstract	In the routing and cost sharing of multicast towards a group of potential receivers, cross-monotonicity is a property that states a user's payment can only be smaller when serviced in a larger set. Being cross-monotonic has been shown to be the key in achieving group-strategyproofness. We study multicast schemes that target optimal flow routing, cross-monotonic cost sharing, and budget balance. We show that no multicast scheme can satisfy these three properties simultaneously, and resort to approximate budget balance instead. We derive both positive and negative results that complement each other for directed and undirected networks. We show that in directed networks, no cross-monotonic scheme can recover a constant fraction of optimal multicast cost. We provide a simple scheme that does achieve 1/k-budget-balance, where k is the number of receivers. Using a probabilistic method rooted in random graph theory, we prove an upper-bound of 2/radic(k) for the budget balance ratio. For undirected networks, we derive a constant upper-bound of 1/2 instead. We further apply a smooth dual growing technique to design a cross- monotonic scheme that recovers k+1/2kzeta of optimal multicast cost in undirected networks, where zeta is a network-dependent parameter close to 1. This is almost tight against the upper-bound \|. We finally present a two-stage linear optimization model that pursues maximum budget balance in any given specific network, with trade-off in complexity. Optimization results in various network configurations confirm the theoretically established bounds.
Starting Page	1588
Ending Page	1596
File Size	237451
Page Count	9
File Format	PDF
ISBN	9781424420254
ISSN	0743166X
DOI	10.1109/INFOCOM.2008.219
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-04-13
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Routing Cost function Multicast algorithms Algorithm design and analysis Graph theory Robustness Cost accounting Communications Society Computer science Game theory
Content Type	Text
Resource Type	Article
Subject	Computer Science Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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