Abstract
This essay reasses the assumptions of the Brams-Fishburn theory of approval voting, and proposes modifications to make the theory correspond better with likely voting choices. With a small number of candidates, voters who use the ‘inadmissible’ strategy of voting for all candidates can help to produce a result that better reflects the voters' wishes than is possible with ‘admissible’ strategies, so we propose a widening of the definition of admissibility to encompass this case. With more than three candidates, we define ‘first-order admissible’ strategies, which are the most likely strategies to be used in practice, and are also strongly sincere, in that a vote for any candidate is always accompanied by votes for all more or equally-preferred candidates. Their number is less under approval voting than under plurality voting. Both proposed modifications strengthen the technical arguments favoring approval voting over plurality voting.
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Carter, C. Admissible and sincere strategies under approval voting. Public Choice 64, 43–55 (1990). https://doi.org/10.1007/BF00125916
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DOI: https://doi.org/10.1007/BF00125916