Indicate who you can trade with before everything is locked in
Simple idea:
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When you are both hovering (or have locked in) a champion that you can trade with each other, display the "Trade" icon next to them.
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If the either player can't use the champion the other is hovering, show the Trade icon faded. Mouse it over for a tooltip explaining. (ex. This player does not own your champion) Possibly even click on it to show their champion list.
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And if neither of you owns the other's champion, the icon will be faded with a lock on it. (hover tooltip and click for list as above)
The reasoning behind this I believe falls in line with some of the purpose of the new champion select; team synergy and communication without needing to do a lot of talking, or being familiar with each other already.
When you want to get that Jhin locked in (for example) but you aren't first pick, you might be much better off having the first pick grab it and trade it to you. But then he picks it and it turns out you don't even own the champion he wanted! Or maybe he wasn't very communicative and he didn't own it, so the enemy ends up with it when you would've rather banned it away.
Let me know if I missed something or could improve on it (I'll just edit it in). If you never want to trade with someone, that's ok, just try to think about those that do find it useful for strategic pick order.
