Friendship Networks Through Time: An Actor-Oriented Dynamic Statistical Network Model
Computational & Mathematical Organization Theory
Friendship Networks Through Time: An Actor-Oriented Dynamic Statistical Network Model
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We propose a class of actor-oriented statistical models for closedsocial networks in general, and friendship networks in particular. Themodels are random utility models developed within a rational choiceframework. Based on social psychological and sociological theories aboutfriendship, mathematical functions capturing expected utility of individualactors with respect to friendship are constructed. Expected utility alsocontains a random (unexplained) component. We assume that, given theirrestrictions and contact opportunities, individuals evaluate their utilityfunctions and behave such that they maximize the expected amount of utility. The behavior under consideration is the expression of like and dislike(choice of friends). Theoretical mechanisms that are modelled are, e.g., theprinciple of diminishing returns, the tendency towards reciprocated choices,and the preference for friendship relations with similar others. Constraintsimposed on individuals are, e.g., the structure of the existing network, andthe distribution of personal characteristics over the respondents. Themodels are illustrated by means of a data-set collected among universityfreshmen at 7 points in time during 1994 and 1995.