Cumulative and quadratic voting are two distributional voting methods that are expressive, promoting fairness and inclusion, particularly in the realm of participatory budgeting. Despite these benefits, graphical voter interfaces for cumulative and quadratic voting are complex to implement and use effectively. As a result, such methods have not seen yet widespread adoption on digital voting platforms. This paper addresses the challenge by introducing an implementation and evaluation of cumulative and quadratic voting within a state-of-the-art voting platform: Stanford Participatory Budgeting. The findings of the study show that while voters prefer simple methods, the more expressive (and complex) cumulative voting becomes the preferred one compared to k-ranking voting that is simpler but less expressive. The implemented voting interface elements are found useful and support the observed voters' preferences for more expressive voting methods. *

翻译：累积投票与二次投票是两种具有表现力的分布式投票方法，能够促进公平与包容，尤其适用于参与式预算领域。尽管具有这些优势，但为累积投票与二次投票设计的图形化投票界面在实际应用与有效实施中较为复杂。因此，这类方法尚未在数字投票平台上得到广泛采用。本文通过在现代投票平台——斯坦福参与式预算系统中实现并评估累积投票与二次投票，应对了这一挑战。研究结果表明，虽然选民偏好简单方法，但更具表现力（也更复杂）的累积投票相较于更简单但表现力较弱的k级排序投票更受青睐。研究发现，所实现的投票界面元素具有实用性，并支持了观察到的选民对更具表现力投票方法的偏好。