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An economic model of friendship and enmity for measuring social balance in networks

Lee, Kyu-Min and Shin, Euncheol and You, Seungil (2017) An economic model of friendship and enmity for measuring social balance in networks. Physica A, 488 . pp. 205-215. ISSN 0378-4371.

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We propose a dynamic economic model of networks where agents can be friends or enemies with one another. This is a decentralized relationship model in that agents decide whether to change their relationships so as to minimize their imbalanced triads. In this model, there is a single parameter, which we call social temperature, that captures the degree to which agents care about social balance in their relationships. We show that the global structure of relationship configuration converges to a unique stationary distribution. Using this stationary distribution, we characterize the maximum likelihood estimator of the social temperature parameter. Since the estimator is computationally challenging to calculate from real social network datasets, we provide a simple simulation algorithm and verify its performance with real social network datasets.

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Additional Information:© 2017 Elsevier B.V. Received 23 January 2017, Revised 29 March 2017, Available online 22 July 2017. We thank two anonymous reviewers for their insightful comments. We have also benefited from conversations with Khai X. Chiong, Matthew Elliott, and seminar participants at Caltech, the NEGT conferences, and the sixth KIAS conference on statistical physics.
Subject Keywords:Social balance theory; Social networks; Ising model; Social temperature; Markov chain Monte Carlo; Maximum likelihood estimator
Record Number:CaltechAUTHORS:20170728-134050431
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Official Citation:Kyu-Min Lee, Euncheol Shin, Seungil You, An economic model of friendship and enmity for measuring social balance in networks, In Physica A: Statistical Mechanics and its Applications, Volume 488, 2017, Pages 205-215, ISSN 0378-4371, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79545
Deposited By: Tony Diaz
Deposited On:28 Jul 2017 23:06
Last Modified:03 Oct 2019 18:21

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