What is the benefit of decentralized exchange?

[bizul]

When we say it is decentralized, it means no one is in control of it. It may sound dangerous since we are used to being control, but actually for the first time, we would like to bring change. We should not let our government control us all the time.

Decentralization is not dangerous if it is implemented correctly to use Proof of Work (PoS) and a reasonable number of confirmations... instead, it is more secure.
It is however dangerous if you are unlocking your funds in an un-safe environment (mobile device, vulnerable OS or compromised malicious application that will log your passphrase and steal your funds).

[ahmad21]

The biggest benefit of decentralized exchange is that it leads to the elimination of unwanted intermediaries. This means there is no need of any central authority which controls and regulates everything. This in turn enables the users of such an exchange to stay anonymous and the price is also affected by the users only and there is no regulation and manipulation. Even the withdrawals and deposits fees are just the network fees which is too cheap. But as they are not regulated so the interface too is a bit laggy.

[deevan]

The benefit of decentralized exchange is that sometimes ICO took a long time to list their token on centralized exchanges but there are people who eagerly wants to sell their tokens so people can trade their ERC20 tokens on decentralized exchanges by just entering a smart contract address of a token. Usually, you can also get the token at a very cheap price on decentralized exchanges if the token is not listed on centralized exchanges. Some good decentralized exchanges are forkdelta & IdeX. Avoid Etherdelta as it was hacked in past.