Figure 3
From: Mathematical Structures in Group Decision-Making on Resource Allocation Distributions

The geometric objects related to a two-part task of reaching consensus on constraints and an ideal position. (A) Three individuals in this group have different initial positions on constraints, which correspond to alternative idiosyncratic box decision spaces (blue, red, yellow), and they have different ideal initial positions in their idiosyncratic decision spaces. (B) A consensus was reached on min-max constraints, and this agreement sets up the green constraints box. (C) The group-specific decision space within the group’s agreed upon constraints box that is a polyhedron cut by the group’s min-max initial ideal positions on each dimension of the resource distribution. The group failed to reach consensus on an ideal position. Two individuals agreed on a final position, different from the third individual’s final position.