Lots of transactions actually destroy value, they just do so in a way that externalizes this cost.
A good example is advertising: companies are incentivized to dump all available resources into marketing, because those who don't get out-competed by those who do. It is a winner-takes-all game where the strategy that maximizes global value is nowhere close to being a Nash equilibrium.
A more extreme example would be hiring someone to go rob a bank. No value is created (lots is destroyed) but both parties to the transaction come out ahead.
Doesn't this assume perfect information?
Edit: concrete example. https://en.wikipedia.org/wiki/Lemon_(automobile)
Edit2: metaphorical example. I have a very valuable bridge to sell you. Just hope the value you receive isn't different than the value you perceive at transaction time. https://en.wiktionary.org/wiki/I_have_a_bridge_to_sell_you