The Dynamics of Conflict in Four-Person Families

http://deepblue.lib.umich.edu/bitstream/2027.42/51030/1/258.pd

Theories for influencer identification in complex networks

In social and biological systems, the structural heterogeneity of interaction networks gives rise to the emergence of a small set of influential nodes, or influencers, in a series of dynamical processes. Although much smaller than the entire network, these influencers were observed to be able to shape the collective dynamics of large populations in different contexts. As such, the successful identification of influencers should have profound implications in various real-world spreading dynamics such as viral marketing, epidemic outbreaks and cascading failure. In this chapter, we first summarize the centrality-based approach in finding single influencers in complex networks, and then discuss the more complicated problem of locating multiple influencers from a collective point of view. Progress rooted in collective influence theory, belief-propagation and computer science will be presented. Finally, we present some applications of influencer identification in diverse real-world systems, including online social platforms, scientific publication, brain networks and socioeconomic systems.Comment: 24 pages, 6 figure

Power and centrality: A family of measures.

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. Although network centrality is generally assumed to produce power, recent research shows that this is not the case in exchange networks. This paper proposes a generalization of the concept of centrality that accounts for both the usual positive relationship between power and centrality and Cook et al.'s recent exceptional results. I propose a family of centrality measures c(a, 3) generated by two parameters, a and P. The parameter P reflects the degree to which an individual's status is a function of the statuses of those to whom he or she is connected. If P is positive, c(a, P) is a conventional centrality measure in which each unit's status is a positive function of the statuses of those with which it is in contact.2 In a communication network, for example, a 1 Requests for reprints should be sent to Phillip Bonacich

Asymptotics of a matrix valued Markov chain arising in sociology

We consider a discrete time Markov chain whose state space is the set of all NxN stochastic matrices with zero diagonal entries. This chain models the evolution of relationships among N individuals who exchange gifts according to probabilities determined by previous exchanges. We determine the stable equilibria for this chain, and prove convergence to a mixture of these. In particular, we show that for generic initial states, the chain converges to a randomly chosen set of constellations made up of disjoint stars. Each star has a center, which is the recipient of all gifts from the other individuals in that star, while the center distributes his gifts only to members of his own star.Markov chains Exchange networks Reciprocity Randomly chosen maps

I’d Like to Thank the Academy, Team Spillovers, and Network Centrality

In this article we use Academy Award nominations for acting to explore how artistic achievement is situated within collaborative context. The context of individual effort is particularly important in film since quality is not transparent and the project-based nature of the field allows us to observe individuals in multiple contexts. Controlling for the actor’s personal history and basic traits of the film we explore two basic predictions. First, we find that status, as measured by asymmetric centrality in the network of screen credits, is an efficient measure of star power and mediates the relationship between experience and formal artistic consecration. Second, we find that actors are most likely to be consecrated when working with elite collaborators. We conclude by arguing that selection into privileged work teams is a locus of cumulative advantage