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By assuming one person is [[Scum]] and analyzing each player's inspection, you can clear that person if three people would have to assume only two roles.  Assume John is scum.  Therefore:
By assuming one person is [[Scum]] and analyzing each player's inspection, you can clear that person if three people would have to assume only two roles.  Assume John is scum.  Therefore:


* Dave = [[Insane]]/[[Paranoid]]
* Dave = [[Inverse]]/[[Cynical]]
* Mike = [[Sane]]/[[Naive]]
* Mike = [[Reliable]]/[[Naive]]
* Nick = Sane/Paranoid
* Nick = Reliable/Cynical
* Tony = Sane/Naive
* Tony = Reliable/Naive


While at first glance you would see this as possibly clearing John, it is still workable.
While at first glance you would see this as possibly clearing John, it is still workable.


* Dave = Insane
* Dave = Inverse
* Mike = Sane/Naive
* Mike = Reliable/Naive
* Nick = Paranoid
* Nick = Cynical
* Tony = Sane/Naive
* Tony = Reliable/Naive


Therefore, John is not clear.  Assume Dave is scum.  Therefore:
Therefore, John is not clear.  Assume Dave is scum.  Therefore:


* John = Insane/Paranoid
* John = Inverse/Cynical
* Mike = Sane/Naive
* Mike = Reliable/Naive
* Nick = Insane/Paranoid
* Nick = Inverse/Cynical
* Tony = Sane/Naive
* Tony = Reliable/Naive


Dave, at this point, cannot be cleared.  The above is what usually happens using this method. Assume Mike is Scum.  Therefore:
Dave, at this point, cannot be cleared.  The above is what usually happens using this method. Assume Mike is Scum.  Therefore:


* John = Sane/Paranoid
* John = Reliable/Cynical
* Dave = Sane/Paranoid
* Dave = Reliable/Cynical
* Nick = Insane/Paranoid
* Nick = Inverse/Cynical
* Tony = Sane/Naive
* Tony = Reliable/Naive


It's still workable.
It's still workable.


* John = Sane/Paranoid
* John = Reliable/Cynical
* Dave = Sane/Paranoid
* Dave = Reliable/Cynical
* Nick = Insane
* Nick = Inverse
* Tony = Naive
* Tony = Naive


Therefore, Mike is not cleared.  Assume Nick is Scum. Therefore:
Therefore, Mike is not cleared.  Assume Nick is Scum. Therefore:


* John = Insane/Paranoid
* John = Inverse/Cynical
* Dave = Insane/Paranoid
* Dave = Inverse/Cynical
* Mike = Sane/Naive
* Mike = Reliable/Naive
* Tony = Sane/Naive
* Tony = Reliable/Naive


Your typical analysis.  Nick is not cleared.  You may be wondering how this works, so let's assume Tony is scum:
Your typical analysis.  Nick is not cleared.  You may be wondering how this works, so let's assume Tony is scum:


* John = Insane/Paranoid
* John = Inverse/Cynical
* Dave = Insane/Paranoid
* Dave = Inverse/Cynical
* Mike = Sane/Naive
* Mike = Reliable/Naive
* Nick = Insane/Paranoid
* Nick = Inverse/Cynical


Since John, Dave, and Nick would all have to be either Insane or Paranoid for Tony to be Mafia, and there is only one of each role in the game, Tony is cleared as Town and can be trusted for the remainder of the game.   
Since John, Dave, and Nick would all have to be either Inverse or Cynical for Tony to be Mafia, and there is only one of each role in the game, Tony is cleared as Town and can be trusted for the remainder of the game.   


Now the town has a decision to make, whether or not to try an elimination.  There are two schools of thought on this.  However, statistically, once one person is cleared as town, the town has an equally good chance of winning Day 2 with a Day 1 elimination than without it, and if you can happen to eliminate the Mafia on Day 1, so much the better.  Assume the town decides to eliminate.  The higher percentage play is eliminating the person with the lone Innocent or Guilty result, aside from those cleared.  In this case that would be Mike, who is strung up and revealed as town.  The next day, John also turns up dead.  The players reveal as follows:
Now the town has a decision to make, whether or not to try an elimination.  There are two schools of thought on this.  However, statistically, once one person is cleared as town, the town has an equally good chance of winning Day 2 with a Day 1 elimination than without it, and if you can happen to eliminate the Mafia on Day 1, so much the better.  Assume the town decides to eliminate.  The higher percentage play is eliminating the person with the lone Innocent or Guilty result, aside from those cleared.  In this case that would be Mike, who is strung up and revealed as town.  The next day, John also turns up dead.  The players reveal as follows:
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* Tony: Dave = Innocent
* Tony: Dave = Innocent


Dave's result flipped; it got one result one day and another result the next.  Therefore Dave is either Sane, Insane, or Scum.  Since his first investigation (Guilty) turned up town, Dave is either Insane or Scum.
Dave's result flipped; it got one result one day and another result the next.  Therefore Dave is either Reliable, Inverse, or Scum.  Since his first investigation (Guilty) turned up town, Dave is either Inverse or Scum.


Nick's result did not flip.  Since there is only one mafia in the game Nick is either Paranoid or Scum.
Nick's result did not flip.  Since there is only one mafia in the game Nick is either Cynical or Scum.


Tony's result also stayed the same. Since he investigated both players still alive, and he's confirmed town, Tony is Naive.
Tony's result also stayed the same. Since he investigated both players still alive, and he's confirmed town, Tony is Naive.


From this, we can also infer that Mike, the elimination, was Sane since he found Tony Innocent. John, who died in the night, was therefore either Paranoid or Insane.
From this, we can also infer that Mike, the elimination, was Reliable since he found Tony Innocent. John, who died in the night, was therefore either Cynical or Inverse.


At this point, Nick votes Dave, Dave votes Nick, and Tony, believing the Insane over the Paranoid, votes Nick, who was the mafioso.
At this point, Nick votes Dave, Dave votes Nick, and Tony, believing the Inverse over the Cynical, votes Nick, who was the mafioso.


See also [[Dethy/Example]]
See also [[Dethy/Example]]


[[Category:Theory]]
[[Category:Theory]]

Latest revision as of 08:18, 4 July 2024

Dethwing_Classic, or Dethy, is a game that becomes much easier with the use of logic. While the following is not a Breaking Strategy, it will go far. Assume the following for the purpose of this piece, which is a walkthrough game:

  • There is a game of Dethy being played with 5 people, John, Dave, Mike, Nick, and Tony.
  • The game uses Cop Head Start, as is the norm.
  • All players inspect someone other than themselves.

On Day 1, all players should reveal the results of their investigations. For the purpose of example, let's say it goes like this:

  • John: Mike = Guilty
  • Dave: Mike = Guilty
  • Mike: Tony = Innocent
  • Nick: John = Guilty
  • Tony: Nick = Innocent

By assuming one person is Scum and analyzing each player's inspection, you can clear that person if three people would have to assume only two roles. Assume John is scum. Therefore:

While at first glance you would see this as possibly clearing John, it is still workable.

  • Dave = Inverse
  • Mike = Reliable/Naive
  • Nick = Cynical
  • Tony = Reliable/Naive

Therefore, John is not clear. Assume Dave is scum. Therefore:

  • John = Inverse/Cynical
  • Mike = Reliable/Naive
  • Nick = Inverse/Cynical
  • Tony = Reliable/Naive

Dave, at this point, cannot be cleared. The above is what usually happens using this method. Assume Mike is Scum. Therefore:

  • John = Reliable/Cynical
  • Dave = Reliable/Cynical
  • Nick = Inverse/Cynical
  • Tony = Reliable/Naive

It's still workable.

  • John = Reliable/Cynical
  • Dave = Reliable/Cynical
  • Nick = Inverse
  • Tony = Naive

Therefore, Mike is not cleared. Assume Nick is Scum. Therefore:

  • John = Inverse/Cynical
  • Dave = Inverse/Cynical
  • Mike = Reliable/Naive
  • Tony = Reliable/Naive

Your typical analysis. Nick is not cleared. You may be wondering how this works, so let's assume Tony is scum:

  • John = Inverse/Cynical
  • Dave = Inverse/Cynical
  • Mike = Reliable/Naive
  • Nick = Inverse/Cynical

Since John, Dave, and Nick would all have to be either Inverse or Cynical for Tony to be Mafia, and there is only one of each role in the game, Tony is cleared as Town and can be trusted for the remainder of the game.

Now the town has a decision to make, whether or not to try an elimination. There are two schools of thought on this. However, statistically, once one person is cleared as town, the town has an equally good chance of winning Day 2 with a Day 1 elimination than without it, and if you can happen to eliminate the Mafia on Day 1, so much the better. Assume the town decides to eliminate. The higher percentage play is eliminating the person with the lone Innocent or Guilty result, aside from those cleared. In this case that would be Mike, who is strung up and revealed as town. The next day, John also turns up dead. The players reveal as follows:

  • Dave: Nick = Innocent
  • Nick: Dave = Guilty
  • Tony: Dave = Innocent

Dave's result flipped; it got one result one day and another result the next. Therefore Dave is either Reliable, Inverse, or Scum. Since his first investigation (Guilty) turned up town, Dave is either Inverse or Scum.

Nick's result did not flip. Since there is only one mafia in the game Nick is either Cynical or Scum.

Tony's result also stayed the same. Since he investigated both players still alive, and he's confirmed town, Tony is Naive.

From this, we can also infer that Mike, the elimination, was Reliable since he found Tony Innocent. John, who died in the night, was therefore either Cynical or Inverse.

At this point, Nick votes Dave, Dave votes Nick, and Tony, believing the Inverse over the Cynical, votes Nick, who was the mafioso.

See also Dethy/Example