Interpretation of the axioms for general delegation graphs

Determine whether all axioms required for the Random Walk Decay characterization admit an intuitive interpretation in the context of delegative democracy for general, possibly non-functional delegation graphs.

Background

The paper proves an axiomatic characterization of Random Walk Decay as a power metric for functional delegation graphs. It observes that the Random Walk Decay framework and its axiomatic characterization can be extended to general graphs, including graphs with weighted nodes and edges, which are relevant to blockchain-based delegative voting and ranked delegation settings.

The authors explicitly note that the conceptual status of the axioms becomes uncertain in the broader setting: although a characterization can be derived, it is not clear whether every required axiom continues to have an intuitive interpretation for delegative democracy. Resolving this issue would clarify the suitability of the axiomatic framework beyond the single-proxy functional-graph model.