# Blocking Coalitions

For $$n$$ individuals, can a blocking coalition only be formed by at least $$n/2$$ individuals? For example, if there are 6 individuals, can less than 3 individuals form blocking coalitions?

Coalition formation is not the same as majority voting. Say, in a single good economy, individual 1 has the entire endowment, so $$\mathbf e=(1,0,0,0,0,0)$$. Then individual 1 forms a blocking coalition to any allocation $$\mathbf x=(x_1,\dots,x_6)$$ where $$x_1<1$$.