I'm going to come out and say I allow both to work and I actually like overlapping skills.
1) Allowing skills to overlap makes it more likely for a PC to use their good modifier, which makes them more likely to succeed, which generally moves the story forward better.
2) Allowing two different skills to achieve the same task lets different PCs highlight their different approaches (even if the end result is largely the same) which can help differentiate PCs and avoid cookie-cutter builds.
3) Allowing overlap means I don't have to spend as much time thinking about whether the skill is appropriate or explaining why the skill the player wants to use won't work in this case.
I mean I obviously draw the line somewhere and don't allow a PC to use a skill that doesn't make any sense for the task they are attempting. But if it does make sense, I don't sweat the possibility that some other skill might also make sense.
(Examples of overlaps I've seen: Perception vs. Investigation; Nature vs. Survival; Athletics vs. Acrobatics; Arcana vs. History vs. Religion, depending on the subject; Animal Handling vs. Vehicles(land); Deception vs. Intimidation, if your threat is a bluff; Investigation vs. Medicine for examining a body)
1) Allowing skills to overlap makes it more likely for a PC to use their good modifier, which makes them more likely to succeed, which generally moves the story forward better.
2) Allowing two different skills to achieve the same task lets different PCs highlight their different approaches (even if the end result is largely the same) which can help differentiate PCs and avoid cookie-cutter builds.
3) Allowing overlap means I don't have to spend as much time thinking about whether the skill is appropriate or explaining why the skill the player wants to use won't work in this case.
I mean I obviously draw the line somewhere and don't allow a PC to use a skill that doesn't make any sense for the task they are attempting. But if it does make sense, I don't sweat the possibility that some other skill might also make sense.
(Examples of overlaps I've seen: Perception vs. Investigation; Nature vs. Survival; Athletics vs. Acrobatics; Arcana vs. History vs. Religion, depending on the subject; Animal Handling vs. Vehicles(land); Deception vs. Intimidation, if your threat is a bluff; Investigation vs. Medicine for examining a body)