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 think it should work almost like a Pokemon trade. 1. Trade screen appears in center of screen. 2. Players have a view of each others inventories. 3. Each player moves an item from his own inventory into the offer bubble. 4. When both players select "confirm trade" they switch the offered items.