Network Modeling – James A. Kitts

January 1, 2016November 4, 2024

Greed and Fear in Network Reciprocity: Implications for Cooperation among Organizations

This paper depicts the evolution of cooperation on regular lattices, with strategies propagating locally by relative fitness. The underlying dilemma arises from two distinct dimensions—the gains for exploiting cooperative partners (Greed) and the cost of cooperating with exploitative partners (Fear). This paper uses computational experiments to show that embedding interaction in networks generally leads Greed and Fear to have divergent, interactive, and highly nonlinear effects on cooperation at the macro level, even when individuals respond identically to Greed and Fear. We then replicate our experiments on inter-organizational network data derived from links through shared directors among 2,400 large US corporations.

Kitts, James A., Leal, Diego F., Jones, Thomas M., Felps, Will, and Shawn L. Berman. “Greed and Fear in Network Reciprocity: Implications for Cooperation among Organizations” PLoS ONE 11(2), 2016.

January 2, 2014November 4, 2024

Cultural Integration and Differentiation in Groups and Organizations

Experimental and field research has demonstrated a pervasive tendency toward pairwise conformity among individuals connected by positive social ties, and work using formal models has shown that opinions on connected influence networks should thus converge toward uniformity. Observing that diversity persists even in small scale groups and organizations, we investigate two empirically grounded mechanisms of social differentiation that may account for this persistence: First, actors may dislike or disrespect peers who diverge too much from their own views, and may change their opinions or behaviors to distance themselves further from those negative referents. Second, when surrounded by similar others, actors may try to maintain a sufficient sense of uniqueness by exploring new opinions or behaviors. Using computational experiments, we demonstrate that these two mechanisms lead to different patterns of polarization, radicalization, and factionalism and also investigate the conditions under which integration occurs. In closing, we discuss the implications for cultural dynamics in organizations.

Mäs, Michael, Flache, Andreas, and James A. Kitts. “Cultural Integration and Differentiation in Groups and Organizations.” Perspectives on Culture and Agent-Based Simulations: Integrating Cultures, Springer, 2014.

December 31, 2009November 4, 2024

Birds of a Feather or Friend of a Friend? Using Exponential Random Graph Models to Investigate Adolescent Friendship Networks

This paper uses newly developed statistical methods to examine the generative processes that give rise to wide-spread patterns in friendship networks. We apply exponential family random graph models to the adolescent friendship networks in fifty-nine US schools from the National Longitudinal Survey of Adolescent Health (Add Health). We model friendship formation as a selection process constrained by individuals’ sociality (propensity to make friends), selective mixing in dyads (friendships within race, grade, or sex categories are more likely), and closure in triads (a friend’s friends are more likely to become friends), given local population composition.

Goodreau, Steven, Kitts, James A., and Martina Morris. “Birds of a Feather or Friend of a Friend? Using Exponential Random Graph Models to Investigate Adolescent Friendship Networks.” Demography, 46(1): 103-126, March 2009.

January 1, 2006November 4, 2024

Social Influence and the Emergence of Norms Amid Ties of Amity and Enmity

This paper explores the coevolution of social networks and behavioral norms. Previous research has investigated the long-term behavior of feedback systems of attraction and influence, particularly the tendency toward homogenization in arbitrary cultural fields. This paper extends those models by allowing that norms diffuse not only by simple contagion but through intentional sanctioning behavior among peers. Further, the model allows for negative relations, where actors differentiate themselves from enemies while seeking to align themselves with friends. Sociometric maps reveal nontrivial system dynamics – structural bifurcation, discrimination between factions, and cycles of deviance and solidarity – emerging from a few elementary agent-level assumptions.

View online appendix here.

Kitts, James A. “Social Influence and the Emergence of Norms Amid Ties of Amity and Enmity.” Simulation Modelling Practice and Theory, 14(3): 407-422, March 2006.

January 2, 2003November 4, 2024

Polarization in Dynamic Networks: A Hopfield Model of Emergent Structure

Why do populations often self-organize into antagonistic groups even in the absence of competition over scarce resources? We look for answers by exploring the dynamics of influence and attraction between computational agents. Our model is an extension of Hopfield’s attractor network. Agents are attracted to others with similar states (the principle of homophily) and are also influenced by others, as conditioned by the strength and valence of the social tie. Negative valence implies xenophobia (instead of homophily) and differentiation (instead of imitation). Consistent with earlier work on structural balance, we find that networks can self-organize into two antagonistic factions, without the knowledge or intent of the agents. We model this tendency as a function of network size, the number of potentially contentious issues, and agents’ openness and flexibility toward alternative positions. Although we find that polarization into two antagonistic groups is a unique global attractor, we investigate the conditions under which global uniformity or pluralistic alignments may also be equilibria.

Macy, Michael W., Kitts, James A., Flache, Andreas, and Steve Benard. “Polarization in Dynamic Networks: A Hopfield Model of Emergent Structure. Dynamic Social Network Modeling and Analysis, National Academies Press, 162-173, 2003.