Marketing Percolation

Details Marketing Percolation Marketing Percolation

2000-05-24

arxiv.org/abs/cond-mat/0005426v1

Physics

Condensed Matter

Statistical Mechanics

to appear in Physica A

Scientific paper

10.1016/S0378-4371(00)00260-0

A percolation model is presented, with computer simulations for illustrations, to show how the sales of a new product may penetrate the consumer market. We review the traditional approach in the marketing literature, which is based on differential or difference equations similar to the logistic equation (Bass 1969). This mean field approach is contrasted with the discrete percolation on a lattice, with simulations of "social percolation" (Solomon et al 2000) in two to five dimensions giving power laws instead of exponential growth, and strong fluctuations right at the percolation threshold.

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