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Friendship Selection

Author

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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.

Suggested Citation

  • Javier Rivas, 2007. "Friendship Selection," Economics Working Papers ECO2007/08, European University Institute.
  • Handle: RePEc:eui:euiwps:eco2007/08
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Goyal, Sanjeev & Vega-Redondo, Fernando, 2005. "Network formation and social coordination," Games and Economic Behavior, Elsevier, vol. 50(2), pages 178-207, February.
    4. Michael Suk-Young Chwe, 2000. "Communication and Coordination in Social Networks," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 1-16.
    5. 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. Gaudeul, Alexia & Giannetti, Caterina, 2011. "The role of reciprocation in social network formation, with an application to blogging," MPRA Paper 34094, University Library of Munich, Germany.

    More about this item

    Keywords

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

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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