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Consider the following problem:

  1. Six 2-mode networks at five year intervals
  2. Projects (Ads) exist in only one of the six networks
  3. Team members (Creators) can appear in more than one network
  4. The temporal sequence is such that Creators can only appear in additional networks later than the one in which they first appear.
  5. It is possible, however, for Creators to skip years; to appear in years 3, 5 and 6 for example. 
  6. The more years in which a Creator appears the greater their accumulated degree: more projects and, thus, more chances to work with other Creators.
  7. 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. 
  8. 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?
Any thoughts or suggestions will be much appreciated. 

John McCreery
The Word Works, Ltd., Yokohama, JAPAN
Tel. +81-45-314-9324
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http://www.wordworks.jp/
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