The relationship between the normalized gradient addition mechanism and quadratic voting
Quadratic voting and the normalized gradient addition mechanism are both social choice mechanisms that confront individuals with quadratic budget constraints, but they are applicable in different contexts. Adapting one or both to apply to the same context, this paper explores the relationship between these two mechanisms in three contexts: marginal adjustments of continuous policies, simultaneous voting on many public choices, and voting on a single public choice accompanied by private monetary consequences. In the process, we provide some formal analysis of quadratic voting when (instead of money) votes are paid for with abstract tokens that are equally distributed by the mechanism designer.
KeywordsPublic goods Normalized gradient addition mechanism Quadratic voting
- Benjamin, D. J., Carroll, G., Heffetz, O., Kimball, M. S., & Lougee, D. (2016). Aggregating local preferences to guide policy. Cornell University and University of Southern California mimeo.Google Scholar
- Cárdenas, J. C., Mantilla, C., & Zárate, R. D. (2014). Purchasing votes without cash: Implementing quadratic voting outside the lab. https://www.aeaweb.org/aea/2015conference/program/retrieve.php?pdfid=719.
- Chung, H. & Duggan, J. (2015). Directional equilibria. University of Rochester mimeo.Google Scholar
- Goeree, J. K. & Zhang, J. (2016). One man, one bid. Quadratic voting and the public good conference.Google Scholar
- Helliwell, J., Layard, R., & Sachs, J. (Eds.). (2015). World happiness report. Columbia University: The Earth Institute.Google Scholar
- Hylland, A., & Zeckhauser, R. (1980). A mechanism for selecting public goods when preferences must be elicited. Kennedy School of Government discussion paper D.Google Scholar
- Hylland, A., Zeckhauser, R., & Weyl, E. G. (2016). An efficient competitive economy with public goods. Contact Glen Weyl (firstname.lastname@example.org).Google Scholar
- Kaplow, L., & Kominers, S. D. (2016). Who will vote quadratically? Voter turnout and votes case under quadratic voting. Quadratic voting and the public good conference.Google Scholar
- Lalley, S. P. & Weyl, E. G. (2016). Quadratic voting. SSRN: http://ssrn.com/abstract=2003531.
- Laurence, B., & Sher, I. (2016). Ethical considerations on quadratic voting. Quadratic voting and the public good conference.Google Scholar
- OECD. (2016). Measuring well-being and progress: Well-being research. http://www.oecd.org/statistics/measuring-well-being-and-progress.htm.
- Quarfoot, D., von Kohorn, D., Slavin, K., Sutherland, R., & Konar, E. (2016). Quadratic voting in the wild: Real people, real votes. Quadratic voting and the public good conference.Google Scholar
- Weyl, E. G. (2015). The efficiency of quadratic voting in finite populations. SSRN: http://ssrn.com/abstract=2571026.
- Weyl, E. G. (2016). The robustness of quadratic voting. SSRN: http://ssrn.com/abstract=2571012.