Definitions
bullet voting
Reducing the number of alternatives you express a preference for, or give
some rating to. This is a type of burying
strategy.
burying
Insincerely ranking an alternative lower in the hope of defeating it.
circular preferences
pairwise majorities in the expressed or actual opinions of voters that are
inconsistent.
clones
A set of alternatives, X[1], X[2], .. X[m] is a clone set provided that for
every alternative Z, where Z is not one of X[1], .. X[m], the following is
true:
Every ballot that ranks Z higher than one of X[1] .. X[m] ranks Z higher than
all of them. Every ballot that ranks Z lower than one of them, ranks Z lower
than all of them. No ballot ranks Z equal to any of them.
As well, there must be at least one alternative outside the set of clones,
and at least two alternatives in the set of clones.
compromising
Insincerely ranking an alternative higher in the hope of getting it
elected.
Condorcet winner
An alternative that pairwise beats every
other alternative. "Condorcet" is a proper noun, and should be
capitalized.
cycle
A path from an alternative to itself. For example A >
B, B > C, C > A
eliminate
Remove an alternative from consideration for winning and having further
effect on the process being used.
fratricide
When the pairwise victories between members
of a twin set result in an alternative from outside the set being elected.
This is a type of vote-splitting.
insincere
A vote that does not correspond to the voters true preference. This
correspondence is defined by the method. The word is not meant to
imply that this is necessarily a dishonest way to vote.
monotonicity
The property of a method where an alternative can never be made to succeed by
being ranked lower on some ballots. Doing this is using the "push-over" strategy.
non-monotonicity
The property of a method that does not have monotonicity.
pairwise matrix
A table showing for every pair of alternatives, how many voted the
alternative corresponding to the row over the alternative corresponding to
the column.
A | B | C | |
A | X | 7 | 8 |
B | 4 | X | 9 |
C | 5 | 2 | X |
pairwise victory
X has a pairwise victory over Y if more voters rank X over Y than Y over
X.
path
A sequence of pairwise victories such that
the winner of each victory after the first is the same alternative as the
loser in the previous.
Example
A > B, B>C, C>D
proportional
representation
Parties having representation in a legislature in proportion to the number of
their voters in the election.
push-over
The strategy of ranking a weak alternative higher than one's preferred
alternative, which may be useful in a method that violates monotonicity.
rank ballot
A ballot that allows the voter to order the candidates with regard to
preference, but does not allow the voter to show extent of preference.
ratings ballot
A ballot that allows the voter to rate the extent of their preference for
each candidate.
sincere
A vote that corresponds to the voters true preference. This correspondence
is defined by the method.
Smith set
The smallest non-empty set of alternatives such that every alternative in the
set pairwise beats every alternative outside
the set.
sophisticated vote
An insincere vote that is more likely to lead to a favorable outcome based on
the electoral method and the information known to the voter.
strategic nominating
Using the nominating process to gain advantage. In particular, using
vote-splitting, teaming, and crowding strategies.
strategic vote
An insincere vote that the voter thinks is more likely to lead to a favorable
outcome. In particular, using compromising, burying, and push-over
strategies.
teaming
an ideology being helped by having more candidates running for it
truncate
To insincerely leave unranked alternatives who will therefore be counted as
equal and lower than all ranked alternatives. This is one type of burying
strategy.
twins
see clones.
vote-splitting
When multiple similar alternatives are defeated because their support is not
concentrated on one of them.
This work is distributed AS IS. It is up to you to determine if it is useful and safe. In particular, NO WARRANTY is expressed or implied.
I permanently give everyone the rights to use, modify, copy, distribute, re-distribute, and perform this work, and all derived works, to the extent that I hold copyright in them. My intent is to have this work treated as public domain.