Figure 2
From: Mathematical Structures in Group Decision-Making on Resource Allocation Distributions
Relaxing the assumption of an explicit objective. An ideal distribution is sought under the condition of given min-max constraints on the permissible values of a 3-dimensional (x1, x2, x3) resource allocation issue. (A) With the given min-max constraints (45 ≤ x1 ≤ 65, 10 ≤ x2 ≤ 35, 20 ≤ x3 ≤ 35) a low volume (red) polyhedron decision space is set up that is common to all groups. This common decision space is subject to reduction in different ways by different groups’ min-max initial positions on each dimension of the issue. (B) The displayed (blue) points are the final positions of the 80 group members.
