Voting on cyclic orders, group theory, and ballots
Karl-Dieter Crisman,
Abraham Holleran,
Micah Martin
et al.
Abstract:A cyclic order may be thought of informally as a way to seat people around a table, perhaps for a game of chance or for dinner. Given a set of agents such as
{
A
,
B
,
C
}
\{A,B,C\}
, we can formalize this by defining a cyclic order as a permutation or linear order on this finite set, under the equivalence relation where
A
≻
B
≻
C
A\succ B\succ C
is identified with both
B
… Show more
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