I think I like scheme 1a most right now. My analysis of it: A goodwill is given to P1, P2, P3 if CT1, CT2, CT3 are good respectively. A goodwill is given to P4 if (all 3 of {P6, P7, P8} are good) or (2 of {P6, P7, P8} are good and (at least one of {P4, CT1, CT2, CT3, DA} is bad)) A goodwill is given to P5 if DA is good and ((at least 1 of {P6, P7, P8} are bad and P4 is good) or (at least 2 of {P6, P7, P8} are bad) or 1 of {CT1, CT2, CT3} are bad)) A goodwill is given to KP if KP is good and ((at least 3 of the following: CT1 is bad; CT2 is bad; CT3 is bad; DA is bad; at least 2 of {P6, P7, P8} are bad) or ((at exactly 2 of the following: CT1 is bad; CT2 is bad; CT3 is bad; DA is bad; at least 2 of {P6, P7, P8} are bad) and (1 KP is bad or at least 1 KP is a culprit))) A goodwill is given to K if K is good and (at least 4 of the following: CT1 is bad; CT2 is bad; CT3 is bad; DA is bad; at least 2 of {P6, P7, P8} are bad; KP1 is bad; KP2 is bad) or ((at exactly 2 of the following: CT1 is bad; CT2 is bad; CT3 is bad; DA is bad; at least 2 of {P6, P7, P8} are bad) and all KP are good and all KP are not culprits) Also, letting Troy choose the assigning the labels P1-P8 to the psychiatrists and CT1-CT3 to the conspiracy theorists is a good idea.
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