Assume That the Characteristic Functions of Different Coalitions in a Three-Person

Multiple Choice

Assume that the characteristic functions of different coalitions in a three-person group are given by: V(1,2,3) = $60
V(1,2) = $40, V(2,3) = $30, and V(1,3) = $35.
The values created by the individuals separately are given by:
V(1) = $20, V(2) = $16, V(3) = $10.
Which of the following allocations will lie within the core?

A) Payoffs to individuals 1,2, and 3 are $21, $17,and $22 respectively.
B) Payoffs to individuals 1,2, and 3 are $31, $17, and $12 respectively.
C) Payoffs to individuals 1,2, and 3 are $21, $26, and $13 respectively.
D) Payoffs to individuals 1,2, and 3 are $25, $18, and $17 respectively.