Sunday, April 13, 2014

Day 28 : competing trends!

Since last update, I have been working on a simulation to show how competing trends would spread and often replace each-other among the population.

With a few assumptions, I get the following results.

  1.  Let 2 colors (competing with each other for the same attribute) diffuse in the network. (I picked color 1 and color 50) 
  2.  Give color 1 a head start (500 timestamps, then color 50 also starts to diffuse, for total of 10,000 time steps) 
  3. Track the diffusion for both.
This algorithm results in the following output 


We can see here that c1 takes a lead over c50, and they both exhibit exponential nature of change.
Next step, I will introduce a cost function for the change, and see what happens. So Long.

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