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Friendship Networks

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  • Jan K. Brueckner

Abstract

Building upon a long tradition in sociology, economists have recently turned their attention to the analysis of social networks. The present paper adds to this emerging literature by proposing a different approach to social-network formation. As in the model of Jackson and Wolinsky (1996), formation of a link between two individuals requires two-sided investments in the present framework. But in contrast to their approach, where the required investments are exogenously specified and link formation is deterministic, the level of individual investment is a decision variable in the present model and link formation is stochastic. Thus, the probability that a link is formed between two individuals depends on the ``effort" both agents devote to creating the link. These effort levels are chosen noncooperatively via Nash behavior. As in the Jackson-Wolinsky model, indirect links are worth less than direct linkages to other individuals. But, in contrast to their assumption of a smooth benefit decay as link distance increases, the present framework assumes that benefits are zero when more than two links are involved. The model can be viewed as a portrayal of friendship networks. For two individuals to form a friendship, each must exert effort, which could involve inviting the other person to dinner at his house, arranging other types of social outings, or buying gifts on special occasions. Effort creates ``direct" friendships, and the combination of such links leads to ``indirect" friendships. Concretely, a particular individual may invite all of his direct friends to a dinner party at his house, and through socializing with one another, these people enjoy indirect friendships. The paper analyzes the effort externalities that are present in the model, showing the effort levels are universally too low. In addition, the analysis explores the effect of several types of asymmetries on the network structure, as reflected in effort levels and the probability of link formation.

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Bibliographic Info

Paper provided by Econometric Society in its series Econometric Society 2004 North American Winter Meetings with number 184.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:nawm04:184

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Keywords: social networks;

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References

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  1. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
  2. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
  3. Calvó-Armengol, Antoni & Zenou, Yves, 2001. "Job Matching, Social Network and Word-of-Mouth Communication," CEPR Discussion Papers 2797, C.E.P.R. Discussion Papers.
  4. Matthew O. Jackson & Alison Watts, 2000. "On the Formation of Interaction Networks in Social Coordination Games," Econometric Society World Congress 2000 Contributed Papers 0778, Econometric Society.
  5. Yannis M. Ioannides & Linda Datcher Loury, 2004. "Job Information Networks, Neighborhood Effects, and Inequality," Journal of Economic Literature, American Economic Association, vol. 42(4), pages 1056-1093, December.
  6. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
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Cited by:
  1. Francis Bloch & Bhaskar Dutta, 2008. "Communication networks with endogeneous link strength," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 08-15, Indian Statistical Institute, New Delhi, India.
  2. Aditi Roy & Sudipta Sarangi, 2009. "Revisiting Friendship Networks," Economics Bulletin, AccessEcon, vol. 29(4), pages 2640-2647.
  3. Helsley, Robert W. & Zenou, Yves, 2011. "Social Networks and Interactions in Cities," IZA Discussion Papers 5506, Institute for the Study of Labor (IZA).
  4. Konovalov, Alexander, 2014. "Competition and Cooperation in Network Games," Working Papers in Economics 583, University of Gothenburg, Department of Economics.
  5. J. Vandenbossche & T. Demuynck, 2010. "Network formation with heterogeneous agents and absolute friction," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 10/642, Ghent University, Faculty of Economics and Business Administration.
  6. Gilles, R.P. & Sarangi, S., 2004. "Social Network Formation with Consent," Discussion Paper 2004-70, Tilburg University, Center for Economic Research.
  7. Gilles, R.P. & Chakrabarti, S. & Sarangi, S. & Badasyan, N., 2004. "The Role of Middlemen inEfficient and Strongly Pairwise Stable Networks," Discussion Paper 2004-64, Tilburg University, Center for Economic Research.

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