Did you check the first game to see what they tried before developing this?In post 10, ssbm_Kyouko wrote: >Leash everyone in game to 2 products
>leave the third product for the Tomboy Daughter to ship
>Town individually and randomly chooses which of the 2 leashed products to ship
>Port Authority individually and randomly chooses which of the 2 leashed products to inspect
>Expected 2.5 town per product: (10 players total -2 for PRs -2 for scum -1 for D1 elimination)/2 = 2.5
>Note that if scum are eliminated D1 we move straight to their guessing game
Scenario 1: The shipment is free of tea. 2 smugglers are off shipment amongst the other (expected) 6.5 players, and scum has a 1/3.5 chance of guessing the Tomboy Daughter if we mislim on D2 from amongst the expected 6.5.
Scenario 2: The shipment contains tea.
>1 scum on the shipment means 1/3.5 players are scum on the shipment. The odds of finding the TD for scum are still 1/3.5 here (3.5 on shipment means 5.5 off, one of which is scum and one of which may be mislimmed on D2.
>2 scum on the shipment means 2/4.5 players are scum on the shipment. The odds of finding the TD for scum are the same as in scenario 1.
I think this produces good expected results without risking revealing the TD in any way
I looked but it's 17 players and 105 pages and I don't have time to read it.