# Utilitarian winner

In an election, the **utilitarian winner** (**UW**) is the candidate who would maximize the utility of the voters (the utilitarian welfare function) if they won.^{[1]}

Cardinal voting systems are based on the concept of maximizing cardinal utility, having voters express their estimated utility by scoring the candidates. In this case it is simply the candidate with the highest sum of score.

In most cases, the utilitarian winner and the Condorcet winner (CW) are the same, though it's possible for them to be different.^{[2]}

Advocates of cardinal systems consider the UW to be a better outcome than the Condorcet or a majoritarian winner.^{[3]}

## Notes[edit | edit source]

In a two-candidate election (or more generally, any time one more candidate is running than the number of seats to fill), utilitarian voting and majority rule will give the same outcome when all voters are strategic. This is because utilitarianism allows each voter to be maximally important in at most one pairwise matchup (i.e. a person who thinks their 1st choice is maximally better than their 2nd choice is allowed to feel that way utility-wise, but then is assumed to not gain or lose any utility when going between their 2nd choice and any other candidate), and majority rule assumes that any slight preference the voter expresses in a pairwise matchup ought to be treated as maximally important. This is the reason utilitarianism can't have Condorcet cycles.

## See also[edit | edit source]

## References[edit | edit source]

- ↑ Hillinger, Claude (May 2005). "The Case for Utilitarian Voting".
*epub.ub.uni-muenchen.de*. Retrieved 2019-02-09.The theory of this paper suggests that the best outcome is the candidate who would win a utilitarian vote (utilitarian winner), the worst is the candidate getting the worst score in a utilitarian vote (utilitarian loser).

- ↑ Pivato, Marcus (2015-08-01). "Condorcet meets Bentham" (PDF).
*Journal of Mathematical Economics*.**59**: 58–65. doi:10.1016/j.jmateco.2015.04.006. ISSN 0304-4068.We show that if the statistical distribution of utility functions in a population satisfies a certain condition, then a Condorcet winner will not only exist, but will also maximize the utilitarian social welfare function.

- ↑ "Utilitarian vs. Majoritarian Election Methods".
*The Center for Election Science*. Retrieved 2019-02-09.