Nice analysis but flawed
since it considers the incremental cost of moving from living alone to cohabitation. However this time period is trivial compared to the overall length of time of cohabitation. Therefore it makes sense to minimize the cost to each partner of toilet seat manouverings. It's easy to see that this can be done by Martha putting the toilet seat back up after her toilet operations. I leave it as an exercise to the reader to prove this rigorously.
(, Fri 15 Jun 2012, 16:11, Reply)