In this chapter, we make steps in that direction and present a simple model, which produces the winner-take-all competition by taking advantage of selective positive-negative feedback through the interaction of neurons via p-norm. Compared to models presented in Chaps. 1, 2 and 3, this model has an explicit explanation of the competition mechanism. The ultimate convergence behavior of this model is proven analytically. The convergence rate is also discussed. Simulations are conducted in the static competition and the dynamic competition scenarios. Both theoretical and numerical results validate the effectiveness of the dynamic equation in describing the nonlinear phenomena of winner-take-all competition.