badger comments on Decision Auctions aka "How to fairly assign chores, or decide who gets the last cookie" - Less Wrong

35 [deleted] 21 January 2014 09:13PM

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Comment author: badger 22 January 2014 02:16:18AM 9 points [-]

Hmm, if Dan or Bethany happen to be reading this, why split the surplus proportional to the bids when making a joint purchase rather than split it equally? An equal split seems fairer at first glance, and that mechanism definitely hits the Myerson-Satterthewaite bound in equilibrium if both people act non-cooperatively. The proportional split mechanism is messy enough I can't see the equilibrium immediately, so I'm curious if there is some advantage to it I'm not seeing.

Comment author: dreeves 22 January 2014 06:56:15AM 4 points [-]

Great question, and upon reflection (I actually looked this up in my PhD dissertation just now!) I agree. I actually can't remember the last time Bethany and I used a joint purchase auction. For some reason it never comes up -- we just each buy things and don't worry about joint ownership. If we did disagree about whether to buy a household item we'd probably just straight up yootle for whether to buy it (with the cost split 50/50 if we did).

Comment author: dhoe 22 January 2014 03:30:40PM *  3 points [-]

If this is something that can be looked up in your PhD dissertation, where can I get a copy?

Edit: here (pdf)