[BitD] Mechanics for Resolving Character vs Character?

Hi There,

I was wondering if anyone has experience with how to resolve Character versus Character interactions in Blades in the Dark? I'm looking for mechanics that felt satisfying or fun.

In the book it asks the GM to pause the game, check in with the players, propose a mechanic that will decide it, and make sure to get players to agree before continuing. This certainly took care of the interpersonal concerns, but the mechanics I would make up on the spot would sometimes be unsatisfying, like if one player rolls and wins, the losing player might not get a chance to roll dice. Also, the default mechanics in Blades tend to have both sides win at a cost, which might not always be what is wanted.

I wonder if folks with more experience with this genre of RPG draw inspiration from other games?

What mechanics do you find works well for this?