Squared Scoring in Games

February 22nd, 2012
games
Many games have squared scoring, like the Palace Guard in Guillotine:

Each Palace Guard is worth a number of points equal to the number of Palace Guards in your score pile (including this one)
In Seven Wonders the science cards work like the same way. In Dominion the "Duke/Duchy" combination is similar but more complex. [1] I've always thought just "oh, they're really good if you have a lot, but not so good if you only have a few". This is reasonable for the beginning of the game, but towards the end when deciding whether to take one of these or something else you need to look at the marginal benefits. How much better is one more? I made a table:
cards total value marginal value
1 1 1
2 4 3
3 9 5
4 16 7
5 25 9
6 36 11
7 49 13


[1] Each Duchy is 3 points. Each Duke is a point for each Duchy you have.

Comment via: google plus, facebook, substack

Recent posts on blogs I like:

Ozy at LessOnline!

I will once again be a guest at LessOnline, alongside many other writers whom you no doubt like less than you like me: Scott Alexander, dynomight, Georgia Ray, David Friedman, Nicholas Decker, Jacob Falkovich, Kelsey Piper, Alicorn, Aella, etc.

via Thing of Things March 23, 2026

Daycares and the Brown School

As someone in Somerville I notice that there are quite high prices regarding childcare. The average family in Somerville pays $1,100 to $3,500 for daycare per month, and I want to make the costs more affordable. I have also noticed that housing is quite …

via Lily Wise's Blog Posts March 22, 2026

2025-26 New Year review

This is an annual post reviewing the last year and setting intentions for next year. I look over different life areas (work, health, parenting, effectiveness, etc) and analyze my life tracking data. Highlights include a minimal group house, the usefulness…

via Victoria Krakovna January 19, 2026

more     (via openring)