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I generally like this idea, although I think calling it, "mentoring", might attach an unnecessary connotation. I'm also not sure what else you would call it, so that might just be my own bias talking. I'm interested in working out the logistics of using Shapley Values to distribute profits fairly in a cooperative company and want to work through some messy, real-world examples. If this sounds like fun, let me know and I'll sign up. Thanks for doing this!
To be honest I wasn't very happy with the word "mentoring" either. What I really wanted was some word with a semantic meaning between "mentoring", "consulting" and "office hours"? But I liked that "mentoring" emphasizes broader issues. I don't like that "mentoring" sounds arrogant, but I decided that was a silly reason not to use the word and I'll just take the reputational hit.
Re your project: I feel honor-bound to stick to my promise to only consider information in the application!