One of the most interesting things I have heard about Destiny is it's ability to connect people and allow players to randomly meet each other playing campaign, multiplayer, etc. Social interaction definitely seems to be important but I really think this game should allow players to be able to actively trade with each other.
Lets say you find a cool weapon somewhere and someone else wants it, you could trade for a new cool weapon. Lets say you are pinned down and out of ammo, maybe your co-op buddy can give you ammo. Maybe you could even trade things like armor or in-game unlocks/currency.
It should work in that players can go to a trade menu and view the offers for the trade. They then can agree or make a counter offer by asking for other items or offering new items. (Maybe like Borderlands).
I think that allowing players to actively give and trade items would be a MAJOR addition to the game and foster even greater social interaction among roaming players who come across other players.
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I've said it before and I'll say it again: Bungie.net app or mobile app with a marketplace to buy (with in-game money) or trade (with in-game items) for weapons, armor, items, etc. It'd be a great way to integrate more than one device into Destiny. Being able to play a game with more than one controller in a way that I'll get to a stopping point, put down the controller, go on my iPhone or laptop, purchase something in the marketplace, and then go retrieve it from some mailbox thing somewhere would be amazing. Think WoW's Auction House made into an iPhone app.