Decentralized / Distributed Private Key Generation between Untrusted Parties?

Question

I found an interesting concept in this paper, page 13, (Link to the paper) called "Decentralized private key generation", as follows:

"Decentralized private key generation – Multiple Enigma nodes locally create a segment of the key, whereas the full key is only ever assembled by the user. No trail of evidence is left anywhere."

I want to implement such an approach and I need to know the process step by step.

Assuming:

1. We have n untrusted parties in a network.
2. Parties are identified only their public keys.
3. The target is to generate a single new private key across these parties.
4. Only one of these parties eventually can access to this private key. We call this party as "winner".
5. This winner party will be selected by a random process.
6. This winner party will be selected as a "voter", such that any party holding that private key will be able to vote using this private key and the rest parties will accept this vote.
7. So, verifying this vote is crucial and the rest of parties will be only related public key of that private key.

Is this process possible using a distributed private key generation ? And if yes, what is the steps?

If you need any more detailed information about the scenario, please let me know.