Publication Date
1-1-2025
Abstract
In many practical situations, a group of people needs to share a success. What is the fair way to share this success? Nobelist John Nash showed that under reasonable conditions, the group should select the alternative for which the product of utility gains is the largest possible. This solution makes perfect sense from the fuzzy-formalized commonsense viewpoint: it maximizes the degree of confidence that all participants are happy. A natural question is: can we extend this result to a different class of situations, when a group of people needs to share sacrifices caused by a crisis? In this paper, we prove that in this case, no solution satisfies the same set of conditions. We also explain how to actually fairly distribute needed sacrifices in the case of a crisis.
Comments
Technical Report: UTEP-CS-25-3