My Dovahkin found an unconventional way to play tag. Sophie and Lucia seem to enjoy taking turns trying to extort him for expensive gifts every time he sets foot in HH. Sophie is passive aggressive whenever she asks for presents. But I've discovered Lucia is far more materialistic and flat out demanding. One time I sent him to Whiterun on a side quest. I forgot to make him buy the customary presents for the girls on his trip there. So it was only natural that he tried to avoid Lucia from ambushing him in the front lobby when he entered the dining room.
I had him run up stairs, around the 2nd floor, and back down the other stairs. Just so he could avoid her. But she followed him---and then actually began pursuing him around the whole house for the next 10 mins or so real time!

I swear she'd have done this indefinitely if he hadn't run out of steam. All thanks to a score of stamina potions he was chugging as he ran around the whole house

Then when the poor bugger finally ran out of steam, she coolly walked up to him, gave him what I swear was a positively exasperated look, and then was like "Ok Papa, can I get my weekly allowance now??" So it was only logical that my giant toe eating, DB & TG Dovahakin ended up sheepishly handing over some 1,000 septims she was extorting him for. But I guess she sort of deserved it for the crazy cardiovascular work out that she just put him through

Daaamn. That kid really needs to be on a cross country varsity track team.

There's just got to be one in Skyrim somewhere......