Swarmkeeper
Hero
I never run another player's character for them when I DM, and I never let someone else run their character. Too much of that character's story could be controlled by someone else and could end in something that the player doesn't like.
I generally have something happen that requires the missing player's character to be temporarily unavailable, and just proceed with the available players as is. For example, they may get summoned away by someone important to them for help with something. I've also had a character get reduced in size by a shrink potion, and have the other characters carry them around in a backpack or something, mostly just ignoring them. Then, when the player is back, I let them quickly find a way to return the character to normal size and move on.
Yep, this is pretty much what I do if the PCs are in the middle of some quest from one session to the next. In the most recent example, the gnome wizard (whose player missed the prior session) popped out of another PC's saddle bag. He had been napping in there for the past few days!
In our West Marches style campaign (similar to [MENTION=97077]iserith[/MENTION] mentions above), this just isn't an issue as each session is a discrete adventure. Whoever can show up is the party for that session. The other PCs who are not on the adventure are just spending time in town doing non-adventurey things - perhaps even earning some downtime perks depending on how much game-world time has passed. PCs on the adventure are rewarded with XP for participating. No one is punished for not being there. (can opened... worms visible...)
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