The Burr Dilemma in Approval Voting

@article{Nagel2007TheBD,
  title={The Burr Dilemma in Approval Voting},
  author={Jack H. Nagel},
  journal={The Journal of Politics},
  year={2007},
  volume={69},
  pages={43 - 58}
}
  • J. Nagel
  • Published 1 February 2007
  • Economics
  • The Journal of Politics
Problems of multicandidate races in U.S. presidential elections motivated the modern invention and advocacy of approval voting; but it has not previously been recognized that the first four presidential elections (1788–1800) were conducted using a variant of approval voting. That experiment ended disastrously in 1800 with the infamous Electoral College tie between Jefferson and Burr. The tie, this paper shows, resulted less from miscalculation than from a strategic tension built into approval… 
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References

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Approval voting
Approval voting has been offered by a number of formal theorists, notably Steven Brams and Peter Fishburn (1983), as a solution to problems occasioned by multicandidate elections. The formal
The problem of indeterminacy in approval, multiple, and truncated voting systems
It is well known that a plurality election need not reflect the true sentiments of the electorate. Some of the proposed reform procedures, such as approval and cumulative voting, share the
The responsiveness of approval voting: Comments on Saari and Van Newenhizen
Saari and Van Newenhizen (1987) misinterpret their findings about the indeterminacy of voting systems: far from being a vice, indeterminacy is a virtue in allowing voters to be more responsive to,
Going from theory to practice: the mixed success of approval voting
TLDR
Ballot data from some of the societies that adopted AV are used to compare theoretical results with experience, including the nature of voting under AV and the kinds of candidates that are elected.
Approval voting in practice
Several leading professional associations have recently decided to use approval voting (AV). The largest of them, The Institute of Electrical and Electronics Engineers, Inc. (IEEE), with more than
Approval voting in scientific and engineering societies
Approval voting is a system in which members can vote for as many candidates as they like in multicandidate elections. In 1987 and 1988, four scientific and engineering societies, collectively
Voting Procedures: A Summary Analysis
  • H. Nurmi
  • Economics
    British Journal of Political Science
  • 1983
Roughly two centuries ago the Marquis de Condorcet and Chevalier Jean-Charles de Borda originated a research tradition – by no means a continuous one – that over the decades has produced results
Susceptibility to manipulation
All positional voting procedures can be manipulated, so it is natural to question whether some of these systems are more susceptible to being manipulated than others. In this essay, this
A nail-biting election
Abstract. In the first competitive election for President of the Social Choice and Welfare Society, the (official) approval-voting winner differed from the (hypothetical) Borda count winner, who was
The Effect of Approval Balloting on Strategic Voting under Alternative Decision Rules
TLDR
It is found that certain elements of multistage procedures promote departures from purely sincere strategies, including, in some instances, strictly insincere voting, which is especially likely under certain threshold rules.
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