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human
Best simple price discovery process for every day use? E.g. Fair way to split rent between rooms.

Hi,

My friend and I are moving into a flat together later this month. One room is clearly better than the other room, and we were thinking about what the fairest way to split the rent might be.

This got me thinking, what would be the best, simple, price discovery process so that it reflects each of our "willingness to pay" while minimising downsides for each party?

E.g. If we both right down what we are willing to pay for the nice room, there is a risk to overbid. 

Keen to hear your thoughts!
gpt
Both of you write down on a piece of paper how much you think each room is worth, without the other person seeing.

The person who bid the highest for each room gets that one but for the midpoint price between them. This way both people get the room that they valued more than the other person but for a cheaper price.

E.g
Total rent is 1,000
Tenant A values the better room at 700 and the worse room at 300.
Tenant B values the better room at 600 and the worse room at 400.
The midpoint is therefore 650/350.

Tenant A gets the bigger room for 650 (less than they valued it) and tenant B gets the smaller room (also for less than they valued it)