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Funding Public Projects: A Case for the Nash Product Rule

Author

Listed:
  • Florian Brandl
  • Felix Brandt
  • Matthias Greger
  • Dominik Peters
  • Christian Stricker
  • Warut Suksompong

Abstract

We study a mechanism design problem where a community of agents wishes to fund public projects via voluntary monetary contributions by the community members. This serves as a model for public expenditure without an exogenously available budget, such as participatory budgeting or voluntary tax programs, as well as donor coordination when interpreting charities as public projects and donations as contributions. Our aim is to identify a mutually beneficial distribution of the individual contributions. In the preference aggregation problem that we study, agents report linear utility functions over projects together with the amount of their contributions, and the mechanism determines a socially optimal distribution of the money. We identify a specific mechanism -- the Nash product rule -- which picks the distribution that maximizes the product of the agents' utilities. This rule is Pareto efficient, and we prove that it satisfies attractive incentive properties: it spends each agent's contribution only on projects the agent finds acceptable, and agents are strongly incentivized to participate.

Suggested Citation

  • Florian Brandl & Felix Brandt & Matthias Greger & Dominik Peters & Christian Stricker & Warut Suksompong, 2020. "Funding Public Projects: A Case for the Nash Product Rule," Papers 2005.07997, arXiv.org, revised Oct 2021.
    • Handle: RePEc:arx:papers:2005.07997
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    References listed on IDEAS

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    1. Haris Aziz & Anna Bogomolnaia & Hervé Moulin, 2019. "Fair Mixing: the Case of Dichotomous Preferences," Post-Print hal-03047451, HAL.
    2. Duddy, Conal, 2015. "Fair sharing under dichotomous preferences," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 1-5.
    3. Foley, Duncan K, 1970. "Lindahl's Solution and the Core of an Economy with Public Goods," Econometrica, Econometric Society, vol. 38(1), pages 66-72, January.
    4. Bogomolnaia, Anna & Moulin, Herve & Stong, Richard, 2005. "Collective choice under dichotomous preferences," Journal of Economic Theory, Elsevier, vol. 122(2), pages 165-184, June.
    5. Ioannis Caragiannis & David Kurokawa & Herve Moulin & Ariel D. Procaccia & Nisarg Shah & Junxing Wang, 2016. "The Unreasonable Fairness of Maximum Nash Welfare," Working Papers 2016_08, Business School - Economics, University of Glasgow.
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