{N, v(.)}: N= {1, 2, 3}, v(1)= v(2)= v(3)= 0, v(12)= 0.7, v(13)= 0.65, v(23)= 0.35, v(123)=

1. a) Compute its Shapley value,

b) graph the core, and

c) check whether the Shapley is in the core.