Game theoretic analysis of the toilet seat problem

February 7th, 2006

Here’s a practical, scientific result.

A Game Theoretic Approach to the Toilet Seat Problem, Richard Harter, Science Creative Quarterly, number four, January 2006.

The toilet seat problem has been the subject of much controversey. In this paper we consider a simplified model of the toilet seat problem. We shall show that for this model there is an inherent conflict of interest which can be resolved by a equity solution.

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.