A TP-coalitional game (N, w) is called 0-1 normalized if w({i}) = 0 for every i N and w(N) = 1 Show that 1. To

A TP-coalitional game (N, w) is called 0-1 normalized if
w({i}) = 0 for every i ˆˆ N and w(N) = 1
Show that
1. To every essential game (N, w) there is a corresponding 0-1 normalized game (N, w0)
2. Core (N, w) = α core (N, w0) + w, where w = (w1, w2,..., wn), wi = w({i}),

3.

x= w(N) - EieN Wi %3D