Saturday, 16 June 2012

A game theoretic approach to the toilet seat problem


Bringing the full weight of maths to bear on the toilet seat...



Consider a bathroom with one omnipurpose toilet (also known as a WC) which is used for two toilet operations which we shall designate as #1 and #2. The toilet has an attachment which we shall refer to as the seat (but see remark 1 below) which may be in either of two positions which we shall designate as up and down.



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