## Situational Logic Puzzle

A forum for good logic/math puzzles.

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panos567
Posts: 1
Joined: Mon Mar 20, 2017 2:35 pm UTC

### Situational Logic Puzzle

The Mafia has abducted 22 ordinary people.They are holding them in a room from which they cannot escape.They each get 1M\$ .They wait for 12 hours.Then they were announced that they were forced to play the minority game.Each round lasts 1 hour and only 1 Y/N question can be asked in each round.You cannot know who voted what.The votes are counted and if the majority says "Yes" than those who said "Yes" are killed,likewise if the majority said "No".The minority always advances to the next round.The winner gets 8M\$ and if there are 2 winners they share the money.
You must find a strategy to win no matter what the questions are.

Schrödinger's Wolves
Posts: 14
Joined: Fri Mar 24, 2017 3:28 am UTC

### Re: Situational Logic Puzzle

Cooperate with the other people in order to get a tie. They have no reason to go back on their word(if you can communicate)
Unless I am exceptional in some way in this puzzle I cannot force a win unless everyone can win.
Who decides the questions and do the answers have to be truthful?

Poker
Posts: 60
Joined: Fri Jun 15, 2007 2:33 am UTC
Location: Multiple Places (only one now that you read this...)

### Re: Situational Logic Puzzle

There are some parts of this puzzle that are unclear. I mean, why does everyone get \$1M right off the bat? In the source material for this game it made sense, but if players actually die when they are in the majority, it doesn't make sense any longer. Plus, the "solution" from the source material doesn't work if players actually die. In order for it to work, you have to be able to lose without actually being harmed. That "solution" is below:

Spoiler:
Form a team of 8 players. Each round, have your team split their votes evenly. Worst-case scenario, from the start 8 of 22, your team becomes 4 of 10, then 2 of 4, then 1 of 1. This guarantees that only those in your team are able to win, increasing your chances from 1/22 to over 1/8. In the source material, the team of 8 would split the winnings, but that can't happen here.

That being said, people might agree to this plan simply because it increases their odds of winning. If so, the plan below, also from the source material, is possible:

Spoiler:
Divide the 21 other players up into 3 groups of 7, and form a team of 8 with each of them. Have each team follow the strategy from the previous spoiler. The player count will follow the worst-case scenario from the previous spoiler, and if everybody sticks to the plan, you are guaranteed to be the sole survivor.

However, that plan is very risky. If anybody discovers and/or reveals that plan, it will break down - I mean, that's what happened in the source material, and that wasn't life-or-death! Imagine how much more urgent it would be if a player discovers that following the plan will lead to their certain death!

Schrödinger's Wolves
Posts: 14
Joined: Fri Mar 24, 2017 3:28 am UTC

### Re: Situational Logic Puzzle

Oh yeah I remember this. It's from the Liar Game manga.

djangochained
Posts: 15
Joined: Mon Feb 27, 2017 1:01 pm UTC

### Re: Situational Logic Puzzle

Who decides the questions?

Schrödinger's Wolves
Posts: 14
Joined: Fri Mar 24, 2017 3:28 am UTC

### Re: Situational Logic Puzzle

djangochained wrote:Who decides the questions?

If the puzzle is true to the source material, then it doesn't matter who decides the questions because no one has to answer them truthfully.

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