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Performance Evaluation
Volume 62, Issues 1-4, October 2005, Pages 17-31
Performance 2005
 
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doi:10.1016/j.peva.2005.07.016    
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Copyright © 2005 Elsevier B.V. All rights reserved.

Statistical modelling of information sharing: Community, membership, and content

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W.-Y. NgCorresponding Author Contact Information, E-mail The Corresponding Author, W.K. LinE-mail The Corresponding Author and D.M. ChiuE-mail The Corresponding Author

Department of Information Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China


Available online 10 August 2005.

Abstract

File-sharing systems, like many online and traditional information sharing communities (e.g. newsgroups, BBS, forums, interest clubs), are dynamical systems in nature. As peers get in and out of the system, the information content made available by the prevailing membership varies continually in amount as well as composition, which in turn affects all peers’ join/leave decisions. As a result, the dynamics of membership and information content are strongly coupled, suggesting interesting issues about growth, sustenance, and stability.

In this paper, we propose to study such communities with a simple statistical model of an information sharing club. Carrying their private payloads of information goods as potential supply to the club, peers join or leave on the basis of whether the information they demand is currently available. Information goods are chunked and typed, as in a file-sharing system where peers contribute different files, or a forum where messages are grouped by topics or threads. Peers’ demand and supply are then characterized by statistical distributions over the type domain.

This model reveals interesting critical behaviour with multiple equilibria. A sharp growth threshold is derived: the club may grow towards a sustainable equilibrium only if the value of an control parameter is above the threshold, or shrink to emptiness otherwise. The control parameter is composite and comprises the peer population size, the level of their contributed supply, the club’s efficiency in information search, the spread of supply and demand over the type domain, as well as the goodness of match between them.

Keywords: Information sharing; Peer-to-peer systems; Statistical mechanics; Club formation; Dynamic equilibrium

Article Outline

1. Introduction
1.1. Related works
2. The information sharing club (ISC) model
2.1. An example: music information sharing club
3. Dynamic equilibrium of membership and content
3.1. Music information sharing club example with simple requests
3.2. Critical behaviour and multiple equilibria
4. A numerical example with truncated Zipfian aggregate demand
4.1. Perfect match case: h(s)=g(s)
4.2. Imperfect match due to simple shift
5. Discussion
6. Conclusion and further works
References
Vitae








Corresponding Author Contact InformationCorresponding author.

Performance Evaluation
Volume 62, Issues 1-4, October 2005, Pages 17-31
Performance 2005
 
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