1. ## Pick the best leader

I have a psuedo-puzzle for you all. I was browsing a reality TV show where two teams try to impress Donald Trump. One team selected its project leaders by drawing a name. That seemed to me like a pretty stupid way to decide who's in charge for a given project. It would make more sense to select the best person for the task. So, given a group of individuals, all of whom want to be leader, how can they fairly choose the right one? To make things more difficult, assume they don't want to use a show of hands and if they use a secret ballot, they'll all vote for themselves.

2. ## Re: Pick the best leader

You could do multiple votes and have people vote who should not be leader. Go vote by vote eliminating people, until only 1 is left.

Or each select a 1,2,3 choice and take a weighted total

Or each do a complete ranking and take a weighted best

Steve

3. ## Re: Pick the best leader

... or ship them off to a competing [cough]reality[cough] show and wait a week or two <img src=/S/evilgrin.gif border=0 alt=evilgrin width=15 height=15>

Seriously - Tell the team that will only win the <img src=/S/money.gif border=0 alt=money width=17 height=15> if the team, as a whole, succeeds. Individual efforts will not be enough. Give them an hour, together, and they should select the natural team leader. In life a 'natural' leader usually is, or becomes, obvious to everyone.

4. ## Well, here's what I came up with

The ranking idea is a good one and similar to one of my solutions. I'd thought that each voter would be given a list of all the members. They could then pick two. Whoever had the most votes, wins. It would make an interesting strategy though. I suspect each would vote for themselves and put a spoiler vote for the one they actually DON'T want. If more than a few people do this, they may well end up with the worse candidate, rather than the best.

The solution I figure would work well is a semi-secret ballot. Each person puts one name into the hat, but must show their ballot to the person next to them before passing the hat along. It's everyones' responsibility to ensure that no one votes for themself.

5. ## Re: Well, here's what I came up with

<img src=/S/confused.gif border=0 alt=confused width=15 height=20> I know it isn't 'sporting', but why shouldn't you vote for yourself - if you believe you are the best candidate?

6. ## Everyone thinks they're the best

The problem is greed. The person who has the greatest opportunity to prove themselves wins. If you can be leader, you have the greatest chance of winning (or so the participants think). So, with only one vote, just about everyone will vote for themselves.

7. ## Re: Well, here's what I came up with

Jezsik

I have a little problem with this idea (sorry).

The semi-secret ballot could work if you have more than 3 people as you could do tactical voting to suppress one of the candidates. The only way this could be done fairly is to ensure that all ballot papers are written up prior to them being put in the hat. I would prefer that an adjudicator, who is not part of the voting process is employed, who is in charge of the hat, then each candidtate approaches him/her, shows their paper and then places it in the hat. This process would be fairer as, with all human nature, the team would bond, chat about the vote and after a while could work out who voted for who e.g. A could say to B " Well I can tell you who C didn't vote for it was you!!" Hmmm an undermining influence has appeared within the team. The leader will have to be a strong character to get past this influence.

I sometimes like the idea of setting the group a series of challenges, after a while a natural leader appears within the group

Yes, an outsider would certainly be the way to go, but there's no such person for this particular show. The curious thing is that the goal of each person on the team is to be number one, so any "natural" leader would be in the cross-hairs as the rest of the group trys to drag him/her down. It's a strange show (but frighteningly realistic).