Sync player name (Networking)

I’m using the new networking system and I can’t really figure out how to display each player’s name for all clients. The problem is that each client does not see the other clients name. I’m using these methods:

public string playerName;

public override void OnStartLocalPlayer() 
{
    playerName = PlayerPrefs.GetString("PlayerName");

    // Give the server my name
    CmdProvideName(playerName);
}

[Command]
void CmdProvideName(string name)
{
    playerName = name;

    // Broadcast to all clients
    RpcPlayerName(name);
}

[ClientRpc]
void RpcPlayerName(string name)
{
    playerNameUI.GetComponent<Text>().text = name;
}

void Update()
{
    // Keep the name updated for incoming connections
    RpcPlayerName(playerName);
}

What’s a good way to approach this? Thanks in advance!

like the way color is synced here:

http://forum.unity3d.com/threads/synchronizing-colors.334944/#post-2168080