What ties these use cases together
Nicolas is useful when participants prefer different options with different levels of intensity, because a simple vote count can hide that structure.
The mechanism gives participants a finite voice budget, charges quadratic costs for stronger vote intensities, supports delegation, and keeps the decision record explicit.
How to choose a fit
Use Nicolas when the alternatives are clear, participants understand the tradeoff, and the group wants a visible record of support, opposition, costs, delegation, and outcome probabilities.
Avoid using it as a symbolic survey after a decision is already made, a statutory election system, or a substitute for legal, procurement, or identity-verification requirements.