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Consider the following problem:
Any thoughts or suggestions will be much appreciated.
- Six 2-mode networks at five year intervals
- Projects (Ads) exist in only one of the six networks
- Team members (Creators) can appear in more than one network
- The temporal sequence is such that Creators can only appear in additional networks later than the one in which they first appear.
- It is possible, however, for Creators to skip years; to appear in years 3, 5 and 6 for example.
- The more years in which a Creator appears the greater their accumulated degree: more projects and, thus, more chances to work with other Creators.
- There are, however, at least two other factors that affect accumulated degree:
- The media for which Creators produce Ads; TV teams are, on average, twice as large as teams for other media, approx. 10 versus 5.
- The size of the agencies that employ the Creators; in a highly oligopolistic industry, those who work for larger agencies are more likely to have large networks than those who work for smaller agencies.
- Given these conditions, what mathematical tools are most appropriate for modelling the likelihood of becoming a superstar outlier in a highly skewed (perhaps scale-free) degree distribution?