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How do we rank the following 10 firms for litigation in Chicago?

K&E, Sidley, Mayer, Jenner, MWE, Skadden, Latham, Jones, Katten, Schiff

If we are going in tiers, seems K&E is alone up top. I am having a hard time splitting up the firms after that.

It depends. For appellate lit Mayer is the only game in town.

Bro chambers already does this. If its not fine-grain enough for you, then ask yourself if you aren't looking for distinctions that don't exist.