# Math 3.2 Fairness Criterion

## 11 terms

### Majority Criterion

if the candidate is the 1st choice of a majority of voters, then that candidate should be selected.

### majority

Total # of votes + 1

### Borda Count Method

Calculate votes by votes and ranking. (can violate majority if majority exists)

If a candidate is favored when compared seperately with each of the other candidates, then the favored candidate should be elected.

### The monotonicity criterion

Have an election x wins. Some changes are made, all of which favor x. Conduct the election again. X should still be the winner.

### Irrelevant- alternatives criterion

Have an election x wins. One of the other candidates drops out. Recalculate the winner. X should still win.

### Arrow Impossibility Theorem

States that no system of voting will always satisfy all of the 4 fairness criteria.

### Who proved the Arrow Impossibility Theorem? When?

Kenneth Arrow in 1951.

### Approval voting

count the # of approvals each candidate received.