Competition

Weights = -1, decay = 0, max = 1, min = 0, I₁=.51, I₂=.5

At the first time step:

a_i = (max - a _i) net_i - decay (a_i - rest)
= (1 - 0) I_i

So a₁ = I₁ and a₂ = I₂

At the second timestep:

net₁ = I₁ - a₂ = I₁ - I₂ and net₂ = I₂ - a₁ = I₂ - I₁

So: a₁ = (1 - I₁)(I₁ - I₂) and a₂ = I₂ (I₂ - I₁)

Because 1 - I₁ and I₂ are positive and I₁ > I₂: a₁ > 0 and a₂ < 0. So a₁ grows while a₂ dies.