Understanding the Power Curve

An important part of Sun Tzu's strategy is the amplifying effect of growing networks. I call this effect, the "power curve." For Sun Tzu, reputation, innovation, momentum, esprit d'corps, and many other elements of strategy depend on the power curve, which are generally misunderstood among a general population that prefers to think in staight lines. For example, in this recent article in InstaPundit about the growth of Christianity in China, Glenn Reynold's, a very bright guy, wonders if 10,000 converts a day can really create a large a religious force as many predict. What most don't realize is the each of those 10,000 converts is a part of many networks: family, work, village, etc. Each new nod in one networks, the Christian community, offers many new access points to a host of other networks. The result is not straight line growth (10,000 a day forever), but logarithmic: 10,000 becomes 20,000 becomes 40,000 and so on. (I won't speculate on the cycle time of growth. Sun Tzu's strategy teaches that this growth continues until it balances against an opposing force (the Chinese government?). I for one consider this very good news for the world in general.