I still think trading should only be within the fireteam at end rewards screen for those who were involved in it so if I get say a exotic from the nightfall I can trade rewards from some1 in my fireteam however u must receive a reward to trade thus no running 15 people thru and stealing their rewards both party's must agree for the trade to happen
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Yours and original post are the best ideas. I would have a Hawkmoon by now with either of this ideas yours mostly.
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This is certainly another good idea for bungie to consider.