Mechanic are little lacking because it will because it is hard to find other viziers secret also playing King seems bit dull because they only declare dilemma and the player to solve it. Would be bit more interesting if anyone can choose to give a solution.

Setting and story vice this is good. King can make dilemmas that don't directly fit to anyone's branch forcing lateral thinking. Only thing is that the theme is not really shining in this one.

I dig this one a lot because it's incentive framework and player interaction emulates the story it wants to tell: the King is arbiter of terms and judger of success for these wily Viziers, but must be careful to moderate their excesses and stoke their jealousy of each other lest one is allowed to grow too ambitious in the end-game.  DENUNCIATION gives leeway for character assassination against another Vizier and drive interaction around the Secrets.  And the final lightning round only ends once the King "has heard enough" which is basically a pitch-perfect roleplaying cue.

While I appreciate the expansion of success to be 67% versus 50%, I don't like the idea of forcing the King to do anything based on die rolls. A similar game has a similar mechanic that allows a more "Apples to Apples" decision.

However, the die rolls do make it easier for the King to decide. So in this there my be exception. I also appreciate the recollection of ancient myth in your selection of names. Good job!