A couple people here had a misunderstanding.
Assuming that any of the parties do not agree on anything , everything is frozen.
The money gets deposited in the shared wallet after both parties have provided collateral.
If they have a dispute , such as 1000$ is not received , both parties have their collateral stuck along with the 1 BTC stuck in the shared wallet.
Surely , the bitcoin seller has a bigger loss in this case , but the buyer has a loss too.
This only works if the price for BTC is stable.
At the time of the trade, 1 BTC is 1000 USD.
Alice buys 1 BTC, freezes 0.1 BTC, sends 1k USD honestly.
Bob sells 1 BTC, freezes 1.1 BTC, receives 1k USD but never reports on it.
Once these 1.1 BTC are worth LESS than 1k USD, Bob was smart.
Staying honest when selling with this scheme just depends on how low you think the price would go.
Collateral should be greater than amount in exchange. If they exchange $1000 for 1 BTC, collateral should be 2 BTC. So when Bob receives $1000 it's cheaper for him to unlock collateral (2 BTC) than to keep 1 BTC worth of product (cash in this case).
Only if he believes the price won't tank more than 2-fold until he gets the money. Also he has now a much higher risk that someone locks up 2 BTC to lock up 3 of his. Potentially forever.
Would you sell me 1 BTC right now via bank transfer if we both need to lock up 50 BTC for that?