[Gen.Blather]

I tried to condense a very good presentation, and I left a lot out. William Spaniel is well worth your time if you have an interest in how and why things work the way they do.

[Larry Lucido]

Fair enough. :-)

[powerset]

There is also a interesting paradox in voting (the Condorcet paradox):
https://www.encyclopedia.com/social-sciences/applied-and-social-sciences-magazines/paradox-voting

The simplest example is:
a majority of voters rank A > B > C,
while a *different* majority rank B > C > A,
and another different majority rank C > A > B,
etc.

Obviously, these majorities will have some overlap with each other. (Unless enough different graveyards are used.)

There is a whole lot more about voting theory at:
https://en.wikipedia.org/wiki/Arrow%27s_impossibility_theorem