Analysis of The Toilet Seat Problem
A Game Theoretic Approach to the Toilet Seat Problem must be the best analysis of the problem I have ever seen.
This article shows an in depth approach complete with probability calculations and cost measures. The verdict:
In the morning John leaves the seat up after performing #1.
In the evening he puts it down.
This rule may not be precise but it is simple and approximately equitable; moreover the use of a definite rule sets expectations. The seat is put down in the evening to avoid the notorious “middle of the night surprise”.
I still think the best approach is "look before you sit down". I have no clue how can women find this methodology so difficult to implement.
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