Fine-Grained Liquid Democracy for Cumulative Ballots

We incorporate fine-grained liquid democracy into election settings in which voters submit cumulative ballots; essentially, voters designate partial coins and delegate the decision on how to split them to other voters of their choice. As we wish such delegations to be transitive, we seek efficient ways of resolving voter delegations. To this end, we develop a theory based on fixed-point theorems, prove feasibility theorems, and comment on relevant computational aspects.