Hey, thanks for giving the game a shot and for the feedback! We're looking to improve how to communicate the intricacies of the game so thanks for leaving a comment about that!
The idea we had is that each card has an immediate and "background" effect. The immediate effect comes from picking a case winner while the minor effect manipulates different societal values. Those societal values at the end of each day will also affect your rep and give you an idea of what's going on in the town of Geneva for each faction. Think the game starts with 1 Policing and 1 Labor for the Peasants so they aren't being treated too well at the beginning of the game (hence the possible decreases in early-game peasant rep). I think that might be why the peasant rep kept going down after each day, but do let me know if it was another case.
Either way, appreciate the time you spent trying our game!
- S. "Essay"