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Friendship Selection

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  • Javier Rivas

Abstract

We model the formation of friendships as repeated cooperation within a set of heterogeneous players. The model builds around three of the most important facts about friendship: friends help each other, there is reciprocity in the relationship and people usually have few friends. In our results we explain how similarity between people affects the friendship selection. We also characterize when the friendship network won’t depend on the random process by which people meet each other. Finally, we explore how players’ patience influences the length of their friendship relations. Our results match and explain empirical evidence reported in social studies on friendship. For instance, our model explains why troublesome subjects have few friends.

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Bibliographic Info

Paper provided by European University Institute in its series Economics Working Papers with number ECO2007/08.

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Date of creation: 2007
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Handle: RePEc:eui:euiwps:eco2007/08

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Keywords: Friendship; cooperative game; grim trigger strategy; social networks;

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References

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  1. Chwe, Michael Suk-Young, 2000. "Communication and Coordination in Social Networks," Review of Economic Studies, Wiley Blackwell, vol. 67(1), pages 1-16, January.
  2. Lippert, Steffen & Spagnolo, Giancarlo, 2004. "Networks of Relations," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 28, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  3. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  4. Lippert, Steffen & Spagnolo, Giancarlo, 2011. "Networks of relations and Word-of-Mouth Communication," Games and Economic Behavior, Elsevier, vol. 72(1), pages 202-217, May.
  5. Matthew O. Jackson & Asher Wolinsky, 1994. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Sanjeev Goyal & Fernando Vega-Redondo, 2003. "Network Formation and Social Coordination," Working Papers 481, Queen Mary, University of London, School of Economics and Finance.
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Cited by:
  1. Alexia Gaudeul & Caterina Giannetti, 2011. "The role of reciprocation in social network formation, with an application to blogging," Jena Economic Research Papers 2011-015, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.

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