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How to model diffusion?

How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

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Page 1: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

How  to  model  diffusion?  

Page 2: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Decision-­‐based  diffusion  models  

Collec6ve  ac6on  [Granove;er  1978]  

Page 3: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing
Page 4: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

The  model  of  collec6ve  ac6on  

Page 5: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Dynamics  of  collec6ve  ac6on  

Page 6: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Fragile  vs.  robust  fixed  points  

Page 7: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Distribu6on  of  thresholds  (trust)  

Page 8: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Simula6on  

Page 9: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Simula6on  

Page 10: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Early adopters!

Innovators!

Early majority!

Late majority!

Laggards!Broadcast!

Contagion!

Page 11: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Weaknesses  of  the  CA  model  

Page 12: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Decision-­‐based  diffusion  models  

Game-­‐theore6c  models  of  cascades  [Moore  2000]  

Page 13: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Game  theore6c  models  of  cascades  

Page 14: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Rules  of  the  game  

Page 15: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Decision  rule  for  node  v  

Page 16: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Example  

Page 17: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing
Page 18: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing
Page 19: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing
Page 20: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing
Page 21: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing
Page 22: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing
Page 23: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Stopping  cascades  

Page 24: How$to$model$diffusion?$didawiki.cli.di.unipi.it/lib/exe/fetch.php/wma/sna.diffusion2.pdf · Collective Action [Granovetter, '78] Model where everyone sees everyone ... changing

Stopping  cascades