On the impact of global information on diffusion of innovations over social networks

This paper studies how global information affects the diffusion of innovations on a network. The diffusion of innovation is modeled by the logit dynamics of a weighted N-person coordination game among (bounded) rational users where innovations spread through users' strategic choices. We find a critical asymptotic threshold for the weight on global information where the diffusion of innovations undergoes a transition in the rate of convergence regardless of any network structure. In particular, it is found that the convergence to the pervasive adoption is slowed down by global information.

[1]  Maria-Florina Balcan,et al.  Near Optimality in Covering and Packing Games by Exposing Global Information , 2011, ArXiv.

[2]  Andrea Montanari,et al.  Convergence to Equilibrium in Local Interaction Games , 2009, 2009 50th Annual IEEE Symposium on Foundations of Computer Science.

[3]  L. Shapley,et al.  Potential Games , 1994 .

[4]  Nicole Immorlica,et al.  The role of compatibility in the diffusion of technologies through social networks , 2007, EC '07.

[5]  Donald F. Towsley,et al.  The effect of network topology on the spread of epidemics , 2005, Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies..

[6]  L. Shapley,et al.  REGULAR ARTICLEPotential Games , 1996 .

[7]  Christos Faloutsos,et al.  Epidemic thresholds in real networks , 2008, TSEC.

[8]  R. Rob,et al.  Learning, Mutation, and Long Run Equilibria in Games , 1993 .

[9]  Glenn Ellison Learning, Local Interaction, and Coordination , 1993 .

[10]  Maria-Florina Balcan,et al.  Improved equilibria via public service advertising , 2009, SODA.

[11]  E. Young Contagion , 2015, New Scientist.