Anonymous ID: 7317aa Nov. 9, 2020, 4:20 p.m. No.11565735   🗄️.is 🔗kun

We know ((they)) have to tell you in advance.

 

Kenneth Arrow, NobelPrize winner in economics, defined some basic characteristics that a democratic system should seek to provide, and then showed why they were mutually exclusive. These characteristics were:

 

Universality The voting method should provide a complete ranking of all alternatives from any set of individual preference ballots.

Monotonicity If one set of preference ballots would lead to an an overall ranking of alternative X above alternative Y and if some preference ballots are changed in such a way that the only alternative that has a higher ranking on any preference ballots is X, then the method should still rank X above Y.

Independence of irrelevant alternatives If one set of preference ballots would lead to an an overall ranking of alternative X above alternative Y and if some preference ballots are changed without changing the relative rank of X and Y, then the method should still rank X above Y.

Citizen Sovereignty Every possible ranking of alternatives can be achieved from some set of individual preference ballots.

Non-dictatorship There should not be one specific voter whose preference ballot is always adopted.

 

An example: You have a group of 100 voters. There are two candidates, A and B. The votes split like this:

 

A: 55 votes.

B: 45 votes.

 

If we introduce candidate C into the mix, we should now have two possibilities: A should win, or C should win. B should not be a contender. However, C is to A as Ralph Nader was to Al Gore, and the new voting pattern looks like this:

 

A: 44 votes.

B: 45 votes.

C: 11 votes.

 

A simple "first-past-the-post" system, where the winner is the person with the most votes, has violated the criterion of independence.