skip to main content
research-article
Public Access

Knapsack Voting for Participatory Budgeting

Published:29 July 2019Publication History
Skip Abstract Section

Abstract

We address the question of aggregating the preferences of voters in the context of participatory budgeting. We scrutinize the voting method currently used in practice, underline its drawbacks, and introduce a novel scheme tailored to this setting, which we call “Knapsack Voting.” We study its strategic properties—we show that it is strategy-proof under a natural model of utility (a dis-utility given by the ℓ1 distance between the outcome and the true preference of the voter) and “partially” strategy-proof under general additive utilities. We extend Knapsack Voting to more general settings with revenues, deficits, or surpluses and prove a similar strategy-proofness result. To further demonstrate the applicability of our scheme, we discuss its implementation on the digital voting platform that we have deployed in partnership with the local government bodies in many cities across the nation. From voting data thus collected, we present empirical evidence that Knapsack Voting works well in practice.

References

  1. Francisco J. André, M. Alejandro Cardenete, and Carlos Romero. 2010. Designing Public Policies: An Approach Based on Multi-criteria Analysis and Computable General Equilibrium Modeling. Vol. 642. Springer Science 8 Business Media. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. Kenneth J. Arrow. 2012. Social Choice and Individual Values. Vol. 12. Yale University Press.Google ScholarGoogle Scholar
  3. Salvador Barberà, Faruk Gul, and Ennio Stacchetti. 1993. Generalized median voter schemes and committees. J. Econ. Theory 61, 2 (1993), 262--289.Google ScholarGoogle ScholarCross RefCross Ref
  4. Salvador Barberà, Jordi Massó, and Alejandro Neme. 1997. Voting under constraints. J. Econ. Theory 76, 2 (1997), 298--321.Google ScholarGoogle ScholarCross RefCross Ref
  5. Gerdus Benade, Swaprava Nath, Ariel D. Procaccia, and Nisarg Shah. 2017. Preference elicitation for participatory budgeting. In Proceedings of the AAAI Conference on Artificial Intelligence (AAAI’17). 376--382. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Sanjai Bhagat and James A. Brickley. 1984. Cumulative voting: The value of minority shareholder voting rights. J. Law Econ. 27, 2 (1984), 339--365.Google ScholarGoogle ScholarCross RefCross Ref
  7. Duncan Black. 1948. The decisions of a committee using a special majority. Econometrica 16, 3 (1948), 245--261.Google ScholarGoogle ScholarCross RefCross Ref
  8. Kim C. Border and James S. Jordan. 1983. Straightforward elections, unanimity and phantom voters. Rev. Econ. Stud. 50, 1 (1983), 153--170.Google ScholarGoogle ScholarCross RefCross Ref
  9. Steven J. Brams. 1990. Constrained approval voting: A voting system to elect a governing board. Interfaces 20, 5 (1990), 67--80. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. Steven J. Brams. 1993. Approval voting and the good society. PEGS Newslett. 3, 1 (1993), 10--14.Google ScholarGoogle Scholar
  11. Steven J. Brams and Peter C. Fishburn. 1978. Approval Voting. Vol. 72. Cambridge University Press. 831--847 pages.Google ScholarGoogle Scholar
  12. Steven J. Brams and Peter C. Fishburn. 2002. Voting procedures, Ch. 4 in the Handbook of Social Choice and Welfare, Vol. 1 (2002).Google ScholarGoogle Scholar
  13. Eric Budish. 2011. The combinatorial assignment problem: Approximate competitive equilibrium from equal incomes. J. Pol. Econ. 119, 6 (2011), 1061--1103.Google ScholarGoogle ScholarCross RefCross Ref
  14. Yves Cabannes. 2004. Participatory budgeting: A significant contribution to participatory democracy. Environ. Urban. 16, 1 (2004), 27--46.Google ScholarGoogle ScholarCross RefCross Ref
  15. Donald E. Campbell and Jerry S. Kelly. 2000. Weak independence and veto power. Econ. Lett. 66, 2 (2000), 183--189.Google ScholarGoogle ScholarCross RefCross Ref
  16. Ioannis Caragiannis, David Kurokawa, Hervé Moulin, Ariel D. Procaccia, Nisarg Shah, and Junxing Wang. 2016. The unreasonable fairness of maximum Nash welfare. In Proceedings of the 2016 ACM Conference on Economics and Computation. ACM, 305--322. Google ScholarGoogle ScholarDigital LibraryDigital Library
  17. Vince Conitzer, Markus Brill, and Rupert Freeman. 2015. Crowdsourcing societal tradeoffs. In Proceedings of the 2015 International Conference on Autonomous Agents and Multiagent Systems. International Foundation for Autonomous Agents and Multiagent Systems, 1213--1217. Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. Vincent Conitzer and Tuomas Sandholm. 2012. Common voting rules as maximum likelihood estimators. In Proceedings of the Twenty-First Conference on Uncertainty in Artificial Intelligence (UAI'05). 145--152. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. Varsha Dani. 2017. Truthful and near-optimal mechanisms for welfare maximization in participatory budgeting. (unpublished).Google ScholarGoogle Scholar
  20. Nelson Dias. 2014. Hope for democracy: 25 years of participatory budgeting worldwide. www.in-loco.pt.Google ScholarGoogle Scholar
  21. John Duggan and Thomas Schwartz. 2000. Strategic manipulability without resoluteness or shared beliefs: Gibbard-Satterthwaite generalized. Soc. Choice Welfare 17, 1 (2000), 85--93.Google ScholarGoogle ScholarCross RefCross Ref
  22. Brandon Fain, Ashish Goel, and Kamesh Munagala. 2016. The core of the participatory budgeting problem. In Proceedings of the International Conference on Web and Internet Economics. Springer, 384--399. Google ScholarGoogle ScholarDigital LibraryDigital Library
  23. Rupert Freeman, David M Pennock, Dominik Peters, and Jennifer Wortman Vaughan. 2019. Truthful aggregation of budget proposals. arXiv preprint arXiv:1905.00457 (2019). Google ScholarGoogle ScholarDigital LibraryDigital Library
  24. Ernesto Ganuza and Gianpaolo Baiocchi. 2012. The power of ambiguity: How participatory budgeting travels the globe. J. Publ. Delib. 8, 2 (2012), 8.Google ScholarGoogle Scholar
  25. Nikhil Garg, Vijay Kamble, Ashish Goel, David Marn, and Kamesh Munagala. 2017. Collaborative optimization for collective decision-making in continuous spaces. In Proceedings of the 26th International Conference on World Wide Web. International World Wide Web Conferences Steering Committee, 617--626. Google ScholarGoogle ScholarDigital LibraryDigital Library
  26. Allan Gibbard. 1973. Manipulation of voting schemes: A general result. Econometrica 41, 4 (1973), 587--601.Google ScholarGoogle ScholarCross RefCross Ref
  27. Nam Wook Kim, Jonghyuk Jung, Eun-Young Ko, Songyi Han, Chang Won Lee, Juho Kim, and Jihee Kim. 2016. Budgetmap: Engaging taxpayers in the issue-driven classification of a government budget. In Proceedings of the 19th ACM Conference on Computer-Supported Cooperative Work 8 Social Computing. ACM, 1028--1039. Google ScholarGoogle ScholarDigital LibraryDigital Library
  28. Christian Klamler, Ulrich Pferschy, and Stefan Ruzika. 2012. Committee selection under weight constraints. Math. Soc. Sci. 64, 1 (2012), 48--56.Google ScholarGoogle ScholarCross RefCross Ref
  29. Jonathan Levin and Barry Nalebuff. 1995. An introduction to vote-counting schemes. J. Econ. Perspect. 9, 1 (1995), 3--26.Google ScholarGoogle ScholarCross RefCross Ref
  30. Richard J. Lipton, Evangelos Markakis, Elchanan Mossel, and Amin Saberi. 2004. On approximately fair allocations of indivisible goods. In Proceedings of the 5th ACM Conference on Electronic Commerce. ACM, 125--131. Google ScholarGoogle ScholarDigital LibraryDigital Library
  31. Tyler Lu and Craig Boutilier. 2011. Budgeted social choice: From consensus to personalized decision making. In Proceedings of the International Joint Conference on Artificial Intelligence (IJCAI’11). 280--286. Google ScholarGoogle ScholarDigital LibraryDigital Library
  32. Hervé Moulin. 1980. On strategy-proofness and single peakedness. Public Choice 35, 4 (1980), 437--455.Google ScholarGoogle ScholarCross RefCross Ref
  33. K. Nehring and Clemens Puppe. 2002. Strategy-proof social choice on single-peaked domains: Possibility, impossibility and the space between. Unpublished, Department of Economics, University of California at Davis.Google ScholarGoogle Scholar
  34. Richard G. Niemi. 1984. The problem of strategic behavior under approval voting. Am. Pol. Sci. Rev. 78, 4 (1984), 952--958.Google ScholarGoogle ScholarCross RefCross Ref
  35. Carole Pateman. 2012. Participatory democracy revisited. Perspect. Pol. 10, 1 (2012), 7--19.Google ScholarGoogle ScholarCross RefCross Ref
  36. Participatory Budgeting Project (PBP). 2016. Where has it worked? Retrieved from http://www.participatorybudgeting.org/about-participatory-budgeting/where-has-it-worked/.Google ScholarGoogle Scholar
  37. Ariel D. Procaccia, Sashank J. Reddi, and Nisarg Shah. 2012. A maximum likelihood approach for selecting sets of alternatives. In Proceedings of the Twenty-First Conference on Uncertainty in Artificial Intelligence (UAI'12). 695--704. Google ScholarGoogle ScholarDigital LibraryDigital Library
  38. Mark Allen Satterthwaite. 1975. Strategy-proofness and Arrow’s conditions: Existence and correspondence theorems for voting procedures and social welfare functions. J. Econ. Theory 10, 2 (1975), 187--217.Google ScholarGoogle ScholarCross RefCross Ref
  39. Aaron Schneider and Ben Goldfrank. 2002. Budgets and ballots in Brazil: Participatory budgeting from the city to the state. Working Paper Series 149 (2002). Institute of Development Studies, Brighton, UK.Google ScholarGoogle Scholar
  40. Graham Smith. 2009. Democratic Innovations: Designing Institutions for Citizen Participation. Cambridge University Press, Cambridge. Google ScholarGoogle ScholarCross RefCross Ref
  41. H. Peyton Young. 1974. An axiomatization of Borda’s rule. J. Econ. Theory 9, 1 (1974), 43--52.Google ScholarGoogle ScholarCross RefCross Ref
  42. H. Peyton Young. 1988. Condorcet’s theory of voting. Am. Pol. Sci. Rev. 82, 4 (1988), 1231--1244.Google ScholarGoogle ScholarCross RefCross Ref

Index Terms

  1. Knapsack Voting for Participatory Budgeting

        Recommendations

        Comments

        Login options

        Check if you have access through your login credentials or your institution to get full access on this article.

        Sign in

        Full Access

        • Published in

          cover image ACM Transactions on Economics and Computation
          ACM Transactions on Economics and Computation  Volume 7, Issue 2
          May 2019
          170 pages
          ISSN:2167-8375
          EISSN:2167-8383
          DOI:10.1145/3340299
          Issue’s Table of Contents

          Copyright © 2019 ACM

          Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

          Publisher

          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 29 July 2019
          • Accepted: 1 May 2019
          • Revised: 1 November 2018
          • Received: 1 April 2017
          Published in teac Volume 7, Issue 2

          Permissions

          Request permissions about this article.

          Request Permissions

          Check for updates

          Qualifiers

          • research-article
          • Research
          • Refereed

        PDF Format

        View or Download as a PDF file.

        PDF

        eReader

        View online with eReader.

        eReader

        HTML Format

        View this article in HTML Format .

        View HTML Format