Proportional participatory budgeting with substitute projects

R Fairstein, R Meir, K Gal - arXiv preprint arXiv:2106.05360, 2021 - arxiv.org
arXiv preprint arXiv:2106.05360, 2021arxiv.org
Participatory budgeting is a democratic process for allocating funds to projects based on the
votes of members of the community. However, most input methods of voters' preferences
prevent the voters from expressing complex relationships among projects, leading to
outcomes that do not reflect their preferences well enough. In this paper, we propose an
input method that begins to address this challenge, by allowing participants to express
substitutes over projects. Then, we extend a known aggregation mechanism from the …
Participatory budgeting is a democratic process for allocating funds to projects based on the votes of members of the community. However, most input methods of voters' preferences prevent the voters from expressing complex relationships among projects, leading to outcomes that do not reflect their preferences well enough. In this paper, we propose an input method that begins to address this challenge, by allowing participants to express substitutes over projects. Then, we extend a known aggregation mechanism from the literature (Rule X) to handle substitute projects. We prove that our extended rule preserves proportionality under natural conditions, and show empirically that it obtains substantially more welfare than the original mechanism on instances with substitutes.
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