Event sequences as generators of social network evolution

The argument presented in this paper is that one fruitful approach to the study of social network evolution takes the form of examining event sequences as generating mechanisms. Evidence for this comes from two empirical studies of structural balance theory and one simulation study of balance theoretic processes. Four views of causality—system, statistical (predictive), mechanism and algorithmic—are briefly contrasted and then examined with structural balance theory in mind. The conventional statement of the theory turns out to be under specified and inattentive to alternative mechanisms that can generate signed networks through time. Empirical studies of structural balance are limited with regard to the kinds of data that are usually collected. Proposals for studying the generation of signed networks through event sequences while being attentive to structural balance ideas are presented. © 2002 Elsevier Science B.V. All rights reserved.

[1]  Patrick Doreian,et al.  Some dynamics of social balance processes: bringing Heider back into balance theory , 2003, Soc. Networks.

[2]  P. Krishnaprasad System theory: A unified state-space approach to continuous and discrete-time systems , 1978 .

[3]  B. A. Farbey,et al.  Structural Models: An Introduction to the Theory of Directed Graphs , 1966 .

[4]  B. Wellman Structural analysis: From method and metaphor to theory and substance. , 1988 .

[5]  G. Catlin,et al.  The Social Sciences , 1942, Nature.

[6]  Garry Robins,et al.  Network models for social selection processes , 2001, Soc. Networks.

[7]  John Skvoretz,et al.  Advances in E-state structuralism: further studies in dominance structure formation , 1994 .

[8]  P. Doreian Causality in Social Network Analysis , 2001 .

[9]  F. Heider The psychology of interpersonal relations , 1958 .

[10]  Thomas J. Fararo,et al.  Assessing hierarchy and balance in dynamic network models , 1995 .

[11]  D. Freedman From Association to Causation via Regression , 1997 .

[12]  Alan S. Willsky,et al.  System theory: A unified state-space approach to continuous and discrete systems : L. Padulo and M. A. Arbib. 779 pages, diagrams, 6× 9 in. W. B. Saunders, Philadelphia, 1974. Price, $17.50. (approx. £8.75) , 1976 .

[13]  S. D. Berkowitz,et al.  Social Structures: A Network Approach , 1989 .

[14]  S. Feld,et al.  Patterns of Sociometric Choices: Transitivity Reconsidered , 1982 .

[15]  James A. Davis Clustering and Structural Balance in Graphs , 1977 .

[16]  F. Stokman Evolution of social networks , 1997 .

[17]  Patrick Doreian,et al.  The dynamics and evolution of social networks , 1997 .

[18]  Michael S. Morgan Searching for causal relations in economic statistics: Reflections from history , 1995 .

[19]  T. Newcomb The acquaintance process , 1961 .

[20]  P. Pattison,et al.  Random graph models for temporal processes in social networks , 2001 .

[21]  Samuel Leinhardt,et al.  Perspectives on social network research , 1980 .

[22]  Aroldo Rodrígues Theories of cognitive consistency: a source book , 1969 .

[23]  F. Harary,et al.  STRUCTURAL BALANCE: A GENERALIZATION OF HEIDER'S THEORY1 , 1977 .

[24]  P. Doreian,et al.  A partitioning approach to structural balance , 1996 .

[25]  T. Fararo The meaning of general theoretical sociology: Frontmatter , 1989 .

[26]  I. Chase,et al.  DYNAMICS OF HIERARCHY FORMATION: THE SEQUENTIAL DEVELOPMENT OF DOMINANCE RELATIONSHIPS , 1982 .

[27]  P. Holland,et al.  An Exponential Family of Probability Distributions for Directed Graphs , 1981 .

[28]  J. Woelfel,et al.  The Meaning of General Theoretical Sociology: Tradition and Formalization. , 1991 .

[29]  P. Hedström,et al.  Social Mechanisms: Social mechanisms: An introductory essay , 1998 .

[30]  J. Davis CHAPTER 4 – THE DAVIS/HOLLAND/LEINHARDT STUDIES: AN OVERVIEW1 , 1979 .

[31]  K. Opp Balance Theory: Progress and Stagnation of a Social Psychological Theory , 1984 .

[32]  S. Wasserman,et al.  Logit models and logistic regressions for social networks: I. An introduction to Markov graphs andp , 1996 .

[33]  Norman,et al.  Structural Models: An Introduction to the Theory of Directed Graphs. , 1966 .

[34]  F. Heider Attitudes and cognitive organization. , 1946, The Journal of psychology.

[35]  P. Nordlie,et al.  A longitudinal study of interpersonal attraction in a natural group setting , 1958 .

[36]  R. Kapuściński,et al.  A brief history of balance through time , 1996 .

[37]  Patrick Doreian,et al.  Pre‐transitive balance mechanisms for signed networks , 2001 .

[38]  S. Fienberg,et al.  Categorical Data Analysis of Single Sociometric Relations , 1981 .

[39]  Vaughn R. McKim,et al.  Causality in crisis? : statistical methods and the search for causal knowledge in the social sciences , 1998 .