2016
DOI: 10.1007/s00355-016-0971-2
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Asymptotic utilitarianism in scoring rules

Abstract: Given a large enough population of voters whose utility functions satisfy certain statistical regularities, we show that voting rules such as the Borda rule, approval voting, and evaluative voting have a very high probability of selecting the social alternative which maximizes the utilitarian social welfare function. We also characterize the speed with which this probability approaches one as the population grows.

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Cited by 12 publications
(4 citation statements)
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“…In other words, rather than using a simple majority rule, one should consider multi-option preferential voting rules [143], which have a higher probability of selecting an option that works for more people (including minorities). Such rules can increase the social welfare [144], which is desirable.…”
Section: Harnessing Collective Intelligencementioning
confidence: 99%
“…In other words, rather than using a simple majority rule, one should consider multi-option preferential voting rules [143], which have a higher probability of selecting an option that works for more people (including minorities). Such rules can increase the social welfare [144], which is desirable.…”
Section: Harnessing Collective Intelligencementioning
confidence: 99%
“…Pivato [31] demonstrates that social choice functions like Borda and approval voting are able to maximize the utility with high probability, when the agents satisfy certain properties. Rivest and Shen [35] use a game-theoretic model to compare two voting systems and develop a randomized mechanism that is always preferred to any other voting system.…”
Section: Related Workmentioning
confidence: 99%
“…The utilitarian view, which assumes that the voters have costs for each alternative, is a well-known approach in welfare economics (Roemer, 1998;Ng, 1997) and has received attention from the AI community during the past decade (Procaccia & Rosenschein, 2006;Boutilier et al, 2015;Brânzei et al, 2013;Pivato, 2016;Anshelevich & Postl, 2017;Caragiannis et al, 2017;Goel et al, 2017;Gross et al, 2017;Amanatidis et al, 2020;Caragiannis & Procaccia, 2011). Procaccia and Rosenschein (2006) first introduced distortion as a benchmark for measuring the efficiency of a social choice rule in utilitarian settings.…”
Section: Related Workmentioning
confidence: 99%