You were describing CoinJoin, not JoinMarket. There were generally 4 types of CoinJoin implementations/proposals:
- Blockchain.info’s SharedCoin
- ZeroLink’s Chaumian CoinJoin
- JoinMarket
- CoinShuffle

From this list, only CoinShuffle is fully decentralized. JoinMarket is a hybrid, due to the participants are conducting their communications on a central IRC server.

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