*5.3. Social Welfare Ordering*

The goal of the system as presented in the case of this section was to adhere to system energy limits while allocating energy to each of the CGGs to the best of its ability under this constraint. Thus, the SEC was more important than the six CGG concerns in terms of relative importance. As the case did not describe any priority between each of the CGGs, the remaining six concerns were relatively equally important. The resulting relative importance graph is shown in Figure 4, where the SEC is

placed in the node immediately above the CRCand the CRC-sum concerns. This configuration had several properties. First, the SEC was always prioritized over any of the CRC concerns, meaning that solutions that were ideal for the SEC were selected from the Pareto set first. The 10 social welfare metrics described in Section 3 were then applied to node *N*<sup>1</sup> in separate experiments to apply different methods for selecting a final solution from the Pareto set. This enabled us to analyze the impact of each of the social welfare metrics on the resulting resource allocation strategy in a society of 3 identical production entities.

**Figure 4.** Relative importance graph of the Resource Domain (RD).
