Essential Questions: Difference between revisions

* What are the goals of single-winner election methods?

 

to elect a winner

to provide a social order (=ranking)

to make people vote "honestly"

to gain detailed information about voters' preferences

to give voters with no information about others' preferences equal power

to give both majorities and minorities a fair amount of power

 

* What information should be asked for and used?

SR JH JG KV

Pairwise preference information (e.g. rankings) should be used

Approval information (e.g. cutoffs) should be used

Cardinal ratings information should be used

Strategic information (e.g. AERLO) should be used

It should be possible to rank X and Y equal independently of whether they are approved

It should be possible to rank X over Y without the need to either rank Z over Y or X over Z

It should be possible to rank X over Y and Y over Z without the need to rank X over Z

 

* How should this information be interpreted?

 

Approval information should be interpreted as cardinal rates of, say, 0 or 1

Ranking X and Y equal means X and Y should get the same probability of winning

Ranking X and Y equal means the decision about X and Y should be delegated to the other voters

Expressing undecidedness between X and Y means this decision should be delegated to the others

 

* What about certain types of "winners" and "losers"?

 

Beats-All Winners (=Condorcet Winners) must win with certainty

Beats-All Winners must not lose with certainty

Approval Winners must not lose with certainty

Beaten-By-All Losers (=Condorcet Losers) must not win

A Beaten-By-All Loser must not win unless s/he is an Approval Winner

Beaten-By-All Losers must have winning probability less than 1/2

Approval Losers must not win

An Approval Loser must not win unless s/he is a Condorcet Winner

 

* What other special properties should the winner have?