No Agency - ISDA Provision
You might like our articles about principal and agents, undisclosed agents, undisclosed principals and all that good stuff.
In practice, many ISDA Master Agreements are entered by agents - investment managers and asset managers - on behalf of multiple underlying principals. Asset managers often enter transactions in aggregate and only allocate them to underlying principals later in the day. This means that the broker will have a nervous few hours before it knows whom it is allowed to sue, though general principles (geddit??) of agency — in particular liability for an undisclosed principal —mean the agent is not quite so footloose and fancy-free as many seem to believe.
In a nutshell it is not the end of the world if your counterpart refuses to renounce all agency, as long as you set up the accounts correctly with the underlying principals, and the firm has a robust approach to trade allocation.