made things too easy to cheat on
What do you mean "cheat"? Presumably you want to buy a house you like, not just the one that checks the most boxes in a spreadsheet.
So I ended up just taking the total unweighted but normalized rank scores for each house, and supplementing that with a separate count of the negatives
That doesn't look like a reasonable procedure to me. So whether a house has exterior steps gets to be as important as the price? One of the reasons such utility tables have limited utility is precisely the weights. They are hard to specify but naive approaches like making everything equal-weighted don't look to lead to good outcomes.
Effectively you need to figure out the trade-offs involved (e.g. "am I willing to pay $20K more for a bigger yard? How about $40K?") and equal weights for ranks are rather unhelpful.
I agree that making a list of things you need and value in a house is a very useful exercise. But you can't get to the level of completeness needed to make the whole thing work the way you want it to work. You mention updating this table on the basis of your perceptions and experience, but if your ranks are equal-weighted anyway, what do you update?
With respect to the houses serially appearing before you, a simplified abstraction of this problem has an optimal solution.
Thanks much for the link to the Secretary Problem solution. That's will serve perfectly. Even if I don't know the total number of houses that will be candidates for serious consideration, I do know there's an average, which is (IIRC) six houses visited before a purchase.
As for cheating ... what I mean by that is deluding myself about some aspects of the property I'm looking at so that I believe "this is the one" and make an offer just to stop the emotional turmoil of changing homes and spending a zillion dollars that I don't happen to possess. &...
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