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14 Dynamic Networks
- 1. Time and Social Networks
- 9. Enemy of my Friend is an Enemy B A C
- 10. Friend of my Enemy is an Enemy B A C
- 11. Enemy of my Friend is an Enemy B A C
- 12. Enemy of my Enemy is a Friend B A C
- 14. Closure Force
- 15. Closure Force
- 16. Structural Holes
- 18. Hierarchy
- 22. Time 1
- 23. Time 5
- 24. Time 10
- 25. Reciprocity
- 26. Transitivity
- 28. Structural (im)balance 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 11 13 15 17 Extent of Structural Imbalance Structural Imbalance Generalized Imbalance Week
- 30. Doreian, Kapuscinski, Krackhardt & Szczypula: A brief history of balance through time. “… the micro-level processes can be viewed as generating social forces that move the structure toward group balance.” … negative ties within groups are likely less tolerated than positive ties between groups, as negatives within group may threaten the group in ways that positive ties between groups do not.
- 31. An extension: A balance model of friendship change among adolescents The basic hypothesis of social balance is that people will make choices that bring the entire group into balance. But, consider how a given relationship looks from different perspectives: A transition that generates transitivity for one person can generate intransitivity for another. As such, there is no guarantee that friendship change will result in a globally balanced outcome.
- 32. State-Transition diagram of triads
- 33. Testing in simulation What are the implications for relationship change if people follow transitivity, from their own point of view? J. Moody used a simulation, based on data from Add Health, to answer this question. Rules: For every agent, Attempt to achieve closure Attempt to achieve transitivity Resolved through adding and dropping edges
- 34. Strong transitive and intransitive rules: Results in cliques forming quickly and maintaining over time.
- 35. Moderate values for seeking transitivity and avoiding intransitivity: Results in a fluid network structure.
- 46. The greater the network density, the greater is the probability of a catastrophic cascade
- 47. Like the forest fire?
- 49. alpha = 1.2886