I understand more theories are the last thing we probably need right now
but oh well.
Let me make a chart for reference.
A and B B and C C and A
--------- --------- ---------
VJ Rada L. Cuddles
Margaux Corona Aris
PSS Trigon Murphy
G. twg ATMunn
In the rule "Round Robin", it is stated that Slate A players cannot win
if Slate B players can.
One interpretation (the "set" interpretation) of this is that the set of
Slate A players cannot win if there is a mechanism for Slate B players
to. In this case, all Slate A players can announce that they win, but it
might not work if you're criminal.
Another interpretation (the "individual" interpretation) of this is that
each the set of Slate A players cannot win if all the Slate B players can.
That's one thing we need to figure out. The other is how the overlap works.
One interpretation of this argument (the "exclusive" interpretation) is
that if the set of Slate N players, where N is a valid slate, cannot
win, and a person's set of slates includes N, e may not win since one of
eir slates cannot win. The other interpretation (the "inclusive"
interpretation) would be that as long as one of a player's slates can
win, e can win.
Okay, so now we have two factors. The next step is clearly to create a
table. The set of pairs in each square is who can win.
set individual
------------- -------------------
exclusive (B,C) (A,B),(B,C),(C,A)
inclusive (A,B),(B,C) (A,B),(B,C),(C,A)
This is as clearly as I can think to describe the situation.
On 10/9/2018 6:44 PM, Kerim Aydin wrote:
Ok, Here's my catalog of events. Want to see if we can condense cases
before figuring out what raft of CFJs are needed.
Corona, Trigon, VJ Rada start out with Blots, therefore CANNOT win.
Announcements made (including Slates of announcers):
Trigon (B, C): I cause the Slate B players to win, if possible.
- Dunno if a person can announce on behalf of others.
- Some of Slate B have Blots, dunno if this makes the non-blotted
win or fails as a whole unit.
twg (B, C): I win the game.
CuddleBeam (A, C): I win the game too.
D. Margaux (A, B): I win the game too.
Trigon (B, C): I win the game.
Trigon (B, C): I expunge one blot from myself and win the game.
G. (A, B) : I win the game.
ATMunn (A, C): I win the game.
D. Margaux (A,B): 498 iterations of "I win the game by Round Robin." /
"I win per Round Robin." except 1 in the middle was
a Different Thing.
D. Margaux (A,B): I win by Round Robin.
For people in (A,B), does the fact that they cannot (due to Slate A)
stop them from winning (as part of Slate B)? Probably not, due to
Rule 2240 (No Cretans Need Apply) - the "Slate B wins" is later.
For people in (A, C), does the fact that not everyone in B can win
(due to blots) means that being in A means you can win?
If so, for someone in B, that means someone in (A, C) can win, which
means someone in (C) can win, does this block people in (B) from
winning?
Should the Herald just Give Up and Cry?
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Trigon
