Proportionality in Liquid Democracy and Representative Democracy
Leyla Ade, Matteo Michelini and Pietro Vigiani
In this paper, we compare liquid democracy to representative democracy with respect to a proportionality principle, according to which agents with higher stakes should have more voting weight. We provide a formal model of voting systems that models agents' uncertainty towards a voting issue as influenced by stakes in the issue. We formalise the delegation process in representative democracy and liquid democracy and prove that only the latter satisfies the proportionality principle.