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Title Foreword. Special issue: "The social networks"
Author DEGENNE Alain
Keywords None
Topics Modelling, Networks, Social Sciences
Abstract Foreword to the special issue on "The social networks"
Number 168, Winter 2004, special issue: Social networks
Language   French
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Title Building models for social space: neighourhood-based models for social networks and affiliation structures
Author PATTISON Philippa, ROBINS Garry
Keywords Affiliation, Dynamic, Neighbourhood, Random graph, Social space
Topics Graphs, Modelling, Networks, Probabilities, Process, Social Sciences, Stochastic Processes
Abstract We propose a quantitative relational framework for social space. We suggest that social space cannot be specified simply in geographical, network or sociocultural terms but, rather, requires an understanding of the interdependence of relationships among different types of social entities, such as persons, groups, sociocultural resources and places. We also suggest that social space cannot be regarded as fixed: unlike the Euclidean space of Newtonian mechanics, social space is constructed, at least in part, by the social processes that it supports. In the general stochastic relational framework that we propose, relationships among social entities are regarded as the fundamental elements of social space and observed relational entities are viewed as the outcome of processes that occur in overlapping local relational neighbourhoods. Each neighbourhood corresponds to a subset of possible relational entities and is conceived as a possible site of social interaction. We show how special cases of this framework yield hierarchies of models for social networks and for affiliation structures. We also sketch some next steps in the development of this framework.
Number 168, Winter 2004, special issue: Social networks
Language  English
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Title Explained Variation in dynamic network models
Author SNIJDERS Tom A. B.
Keywords Coefficient of determination, Cohort analysis, Complete network, Dynamic, Entropy, Explained variation
Topics Entropy, Networks, Social Sciences, Stochastic Processes
Abstract A measure for explained variation is proposed for stochastic actor-driven models for data on social networks. The measure is based on the entropy of the distribution of the choices made by the actors during the network evolution process. This measure can be helpful in the specification and interpretation of statistical models for longitudinal network data.
Number 168, Winter 2004, special issue: Social networks
Language  English
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Title Social influence and diffusion of innovation
Author STEYER Alexandre, ZIMMERMANN Jean-Benoit
Keywords Diffusion, Diffusion curve, Innovation, Learning, Networks, Power law, Social influence, Structure
Topics Diffusion, Dynamical Systems, Networks, Social Sciences
Abstract The notion of diffusion holds a central place in any social system, because it is at the heart of individuals behaviour or representation phasing, hence of the co-ordination of their actions. The idea at the origin of the notion of diffusion is that inter-individual interactions are the driving forces of the evolution of individuals' behaviours, beliefs and represen-tations. Our approach in this paper is based on social influence networks. Agents are embedded in network structures where the influence advance depends on cumulative effects. First we draw the foundations of a diffusion model based on social influence networks. Then we study the way of propagation of influence trough "avalanches" giving a central importance to the network topology. We consider the noise produced by those avalanches as a characteristic of the social structure that can contribute, by learning effect, to transform the network structure, hence the dynamics of the diffusion. We then explain why peculiar "critical" diffusion curves do emerge characterized by a power law instead of the exponential form of traditional diffusion curves.
Number 168, Winter 2004, special issue: Social networks
Language   French
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Title Ring cohesion theory in marriage and social networks
Author WHITE Douglas R.
Keywords Family relinking, Kinship network, Social cohesion, Structural endogamy
Topics Anthropology - Ethnology, Modelling, Networks
Abstract Ring cohesion, as a theory relevant to social cohesion, offers itself in the analysis of matrimonial relinking as an outgrowth of a structural approach: "Structural studies are, in the social sciences, the indirect outcome of modern developments in mathematics which have given increasing importance to the qualitative point of view in contradistinction to the quantitative point of view of traditional mathematics. It has become possible, therefore, in fields such as mathematical logic, set theory, group theory, and topology, to develop a rigorous approach to problems which do not admit of a metrical solution. The outstanding achievements in this connection Ð which offer themselves as springboards not yet utilized by social scientist - is to be found in J. von Neumann and O. Morgenstern, Theory of Games and Economic Behaviour; N. Wiener, Cybernetics; and C. Shannon and W. Weaver, The Mathematical Theory of Communication". [Lévi-Strauss, Structural Anthropology, 1963, Chapter XV, Social Structure, section on "Structure and Measure", p. 283].
Number 168, Winter 2004, special issue: Social networks
Language  English
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Title Matrimonial ring structures
Author HAMBERGER Klaus, HOUSEMAN Michael, DAILLANT Isabelle, WHITE Douglas R., BARRY Laurent
Keywords Enumeration theory, Graph theory, Kinship network, Matrimonial rings, Social anthropology, Social network analysis
Topics Anthropology - Ethnology, Demography, Graphs, Networks, Sociology
Abstract The paper deals with matrimonial rings, a particular kind of cycles in kinship networks which result when spouses are linked to each other by ties of consanguinity or affinity. By taking a network-analytic perspective, the paper endeavours to put this classical issue of structural kinship theory on a general basis, such as to allow conclusions which go beyond isolated discussions of particular ring types (like "cross-cousin marriage", "sister exchange", and so forth). The paper provides a definition and formal analysis of matrimonial rings, a method of enumerating all isomor-phism classes of matrimonial rings within given genealogical bounds, a series of network-analytic tools - such as the census graph - to analyse ring structures in empirical kinship networks, and techniques to effectuate these analyses with the computer program pajek. A program package containing the required macros can be downloaded from the web. The working of the method is illustrated at the example of kinship networks from four different parts of the world (South-America, Africa, Australia and Europe).
Number 168, Winter 2004, special issue: Social networks
Language  English
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