The strategy in the general Red/Blue Hat Problem is as follows:
Any strategy that minimizes the number of people making a choice is valid.
RULE: Only the person(s) that, from their standpoint is(are) belonging to the group with the smallest number of chosers should make a choice the others should pass.
From the available solutions the choser should take the solution with the highest multiplicity.
In the three persons case:
RRR 3 persons see two same colored hats
RRB 2 persons see two diff col hat 1 two same color
RBR 2 persons see two diff col hat 1 two same color
RBB 2 persons see two diff col hat 1 two same color
BRR 2 persons see two diff col hat 1 two same color
BRB 2 persons see two diff col hat 1 two same color
BBR 2 persons see two diff col hat 1 two same color
BBB 3 persons see two same colored hats
Following RULE only the person with sees the same color should choice.
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The strategy in the general Red/Blue Hat Problem is as follows:
Any strategy that minimizes the number of people making a choice is valid.
RULE: Only the person(s) that, from their standpoint is(are) belonging to the group with the smallest number of chosers should make a choice the others should pass.
From the available solutions the choser should take the solution with the highest multiplicity.
In the three persons case:
RRR 3 persons see two same colored hats
RRB 2 persons see two diff col hat 1 two same color
RBR 2 persons see two diff col hat 1 two same color
RBB 2 persons see two diff col hat 1 two same color
BRR 2 persons see two diff col hat 1 two same color
BRB 2 persons see two diff col hat 1 two same color
BBR 2 persons see two diff col hat 1 two same color
BBB 3 persons see two same colored hats
Following RULE only the person with sees the same color should choice.
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