Unsolved exercises and problems

[lekhovitsky]

• Exercise Set 5, Exercise 36 (show that all DSIC auctions that are not surplus maximizing suck at some valuation profiles)
• Exercise Set 6, Exercise 54 (find an example of POA 2.5 in atomic selfish routing game with three players)
• Exercise Set 7, Exercise 59 (CE: equivalence of "interim" original definition, and "ex-ante" with revelation mechanism)
• Exercise Set 9, Exercise 78 (I don't get the problem, it holds for a general product distribution, doesn't it?)
• Problem Set 1, Problem 4 (d) and (f) + find numerical examples for (c) and (e)
• Problem Set 1, Problem 6 (c) (a lot of fuckery here, starting from the fact that $b_i = \frac{n-1}{n} v_i$ is no longer BNE bidding strategy)
• Problem Set 2, Problem 11 (b)
• Problem Set 2, Problem 13 (haven't attempted it yet)

[lekhovitsky]

For those interested in 4 (d), take a look at https://dl.acm.org/doi/10.1137/090772988

Still trying to derive it on my own tho

[pratt3000]

What about the other problem sets? ps3, ps4?

[lekhovitsky]

What about the other problem sets? ps3, ps4?

I'll get there eventually, but it's kinda time-intensive and there're a bit more important things to focus on rn.

You are of course free to suggest the solutions to some of them to complete the picture.