Summer of Math Exposition

Nice, well-motivated article. The Venn diagrams really do make the concept much clearer. Two small criticisms: first, when you introduced the characteristic and synergy functions, that begs the question of how to calculate the second from the first. It would have been nice to see this worked out. Second, the description of linearity in the concluding notes confused me for a minute: if you were to open a second lemonade stand, then presumably the profits wouldn't actually be additive, because each worker would have to multitask. This could be clarified a bit; for example, by imagining the two enterprises running one after the other.

Very readable, accessible, and interesting. Would have been even better if it didn’t pre suppose some interest in Shapely values. But that’s okay, since that was made clear from the outset.

The article does offer better data visualization using Venn diagrams, but does not offer much novelty with respect to some deep math explanation.

great initial setup - I really wanted to know the solution to how to split the profits fairly, and it wasn't obvious to me - the idea of "synergy bonus" with the venn diagram was really an aha moment for me! - after seeing the wikipedia page I think your work is really well motivated cause the wikipedia page would've been much harder to understand

Really cool article. I never knew about Shapley values before. I thought your overall structure of the article was great and your writing style was concise while also being informative. Keep it up!

This was amazing. Quick, fun and clear. Thank you so much. I even sent this article to a friend!

Simply explained !

Motivation: Good. While the lemonade stand example excelled in speaking to a broad audience, a few words before the formalities about more realistic scenarios might be an improvement for the more practically-minded. Clarity: Exceptional in the intuition section, adequate beyond that. As a memorable example, it took me a bit to notice that in the "more compact notation" the sum is over S rather than i; introducing some notation for the Shapely value might have helped. Novelty: I can't speak to this. But with the breadth of audience that the article attempted to reach (successfully!), I suspect many folks will have my reaction and enjoy this introduction to a different way of thinking. Memorability: On the downside, once we got past the intuition section, there wasn't a lot for me to take away, even as someone fairly comfortable with interpreting formulas. The "concluding notes" were probably intended to be that takeaway, but they hadn't been signposted up to that point. On the upside, the Venn diagram with the three linear cuts is a very elegant image. That will definitely pop into my head when I hear "Shapely values" in the future.

I think the explaination of the Shapley values with the venn diagram was quite illustrative and easy for people to get a hold of the basic concept on why Shapley values are a fair distribution system and the basic properties are described elegantly by it. I would have liked a bit detail on how Shapley values could be abstracted into a more complex example, where we start to use the math to be able to visualize more complex objects.

Clear and concise. I'm taking off some points for novelty but love the focus.

Good, short, simple, clear, useful. Thanks!