Information networks and their dynamics

1. Information Networks and their Dynamics Srinath Srinivasa IIIT Bangalore and Oktave Research Foundation [email_address]

5. The information age Material exchange network Information exchange network Internet, mobile, databases, etc Then Now

10. Part I Information Networks and the Power Law Distribution

21. Part II Underlying Dynamics

27. Sensitivity to initial conditions

29. Preferential attachment The population distribution among the cells follows a power law

30. Impact of growth rate on dynamics

31. Impact of growth rate on dynamics r = 3.0 r = 3.1 r = 3.2 r = 3.5

32. Impact of growth rate on dynamics r = 3.7 r = 3.9

34. Period doubling in the logistic equation

36. Emergent Attractors

37. Emergent Attractors

38. Emergent Attractors

39. Scale-invariant attractors

40. Scale-invariant attractors

41. Part III Social information networks

47. Largest connected component

49. Random graph diameter

59. Asch conformity experiment

61. Conformity and cascades A is more likely to adopt a new idea spreading through the network as compared to B

62. Information cascades An idea originating from ‘a’ cascades to b, c and h when the conformity threshold is 0.5. It never cascades to ‘d’ because d is under pressure to conform to status quo from e, f and g.

74. The power-law network is hence an optimal network topology in frictionless transactions arising out of a number of individual decisions aiming to maximize value and minimize uncertainty!

75. Thank You! Q & A