You can't apply cake slicing logic because in that scenario everyone likes the (implied homogeneous) cake equally. With gerrymandering, how we slice the cake de

You can't apply cake slicing logic because in that scenario everyone likes the (implied homogeneous) cake equally. With gerrymandering, how we slice the cake determines how appealing it is to each party involved, so the gerrymandering slicer could slice a district that would never appeal to the other party. The other party would of course reject it, so you'll at best be in a deadlock. Whatever solution you might implement to avoid a deadlock can't detect which party is being "unreasonable" in causing the deadlock, so you would need to have another different way of drawing districts, and whatever method that is is likely to be affected by gerrymanderers too. Even something basic like using a uniform 2D grid would likely bias one party or the other, giving an incentive for that party to desire a deadlock for any reason, as they would then win by default.