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Article . 1990 . Peer-reviewed
License: Springer TDM
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EconStor
Research . 1987
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Susceptibility to manipulation

Authors: Donald G. Saari;

Susceptibility to manipulation

Abstract

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 susceptibility factor is measured for strategic action involving small groups. It is shown that the system least susceptible to micro manipulations for n = 3 candidates is the Borda Count (BC). The optimal choice changes with n, but the analysis shows that the BC always fares fairly well. On the other hand, the plurality and anti-plurality vote as well as multiple voting systems, such as approval voting and cumulative voting, always fare quite poorly with respect to susceptibility. Finally, it is shown why it is possible to justify any voting method by choosing an appropriate measure of susceptibility and imposing the appropriate assumptions on the profiles of voters. This statement emphasizes the importance of the basic assumptions of neutrality used throughout this essay.

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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    82
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
82
Top 10%
Top 10%
Average
bronze