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Citations are Forever: Modeling Constrained Network Formation

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Listed author(s):
  • Pietro Battiston

Abstract

Determining the extent to which citation flows, and hence bibliometric indicators based on them, reflect some intrinsic value of scientific works is an important task made very difficult by endogeneity issues. This paper presents an approach which allows to go beyond the abundant anecdotal evidence by testing whether the citation behavior is free from environmental factors. The hypothesis of independence is strongly rejected, providing causal evidence of a Matthew effect at work: namely, the publication of a new work on behalf of an author increases the flow of citations to previous works. Such result is a step towards the estimation of biases affecting bibliometric indicators, at least when interpreted as measures of scientific productivity. The study is based on a novel framework for the study of endogenous network growth subject to constraints. Constraints can be both positive and negative, and change in time depending on the actions of the agents. The framework is not limited to citation networks, and can be applied to any context in which the formation of a link inhibits or implies the formation of another one.

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Paper provided by Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy in its series LEM Papers Series with number 2014/19.

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Date of creation: 10 2014
Handle: RePEc:ssa:lemwps:2014/19
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Keywords: Bibliometric indicators; Endogenous growth; Matthew effect; Research evaluation;

This paper has been announced in the following NEP Reports:

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  1. Giulio Cainelli & Mario Maggioni & Erika Uberti & Annunziata De Felice, 2010. "The strength of strong ties: Co-authorship and productivity among Italian economists," "Marco Fanno" Working Papers 0125, Dipartimento di Scienze Economiche "Marco Fanno".
  2. Pierre Azoulay & Toby Stuart & Yanbo Wang, 2014. "Matthew: Effect or Fable?," Management Science, INFORMS, vol. 60(1), pages 92-109, January.
  3. S. Redner, 1998. "How popular is your paper? An empirical study of the citation distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 4(2), pages 131-134, July.
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  7. Sanjeev Goyal & Marco J. van der Leij & José Luis Moraga-Gonzalez, 2006. "Economics: An Emerging Small World," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 403-432, April.
  8. Luca Pratelli & Alberto Baccini & Lucio Barabesi & Marzia Marcheselli, 2012. "Statistical Analysis of the Hirsch Index," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 39(4), pages 681-694, December.
  9. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  10. Haller, Hans, 2012. "Network extension," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 166-172.
  11. Andrea Galeotti, 2006. "One-way flow networks: the role of heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 163-179, September.
  12. Dutta, Bhaskar & Mutuswami, Suresh, 1997. "Stable Networks," Journal of Economic Theory, Elsevier, vol. 76(2), pages 322-344, October.
    • Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
  13. Hans Haller & Jurjen Kamphorst & Sudipta Sarangi, 2007. "(Non-)existence and Scope of Nash Networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 597-604, June.
  14. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
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