"Conspiracy Points" are used to determine the influence of Delta Green Agents.  Basically, every agent starts with 50 points at character creation and every friendly starts with 25 (pays to be an agent).  This is an abstract representing Delta Green's influence, the agent/friendly's status within his own organization and the like. 

They can then spend these points to gain "favors" from the government system.  It costs less points to get something out of your own organization and the more important a request, the more it costs.  So if an FBI agent wants to gain the assistance of an FBI Task Force for support in an investigation, it might cost 25 points.  If he wanted CIA documents concerning the KGB's paranormal investigations, it might be 30 points.  Big stuff, like air strikes, Waco-style raids, and even large-scale military interventions can be had but the cost runs into the hundreds, even thousands. 

This is balanced out by what I call the "Paper Trail" rating.  Not only does everything cost points but has a percentage chance that it will be uncovered.  Simple stuff, such as seeing some old documents or getting some equipment would be low (5% chance).  The big stuff has very high ratings (70%+).  Fail the roll and people take notice of your misappropriation of government resources.  This might be a simple reprimand for the small stuff or some unwanted media attention up to Majestic sanction, release of a "Pentagon Papers" expose of DG, or the ongoing court battles and conspiracy theories that surround events like Waco.

If the player wants something that can either reasonably be gotten from his agency or through good role-playing, there is no need to charge the points.  If an FBI agent wants evidence analyzed for a case that has been covered up as a legitimate FBI operation, don't charge the points.  Same if the players are pinned down by assault rifle-carrying zombies and they call for regular police back-up.  The points are there for the unusual requests needed and all expenditures are subject to a GM's ruling for cost and if the request will be honored.

At character creation the players also get a number of points to spend on building initial contacts.  This represents the base of people they know when starting that can be of some service.  The better the contact, the more points it costs.  That way, the players can build up a network of informants, service buddies and so on.  They could get a bunch of low-level snitches on the street: not very reliable, have to bribe them for their information and they won't help you out on a raid but can provide tons of gossip on the street.  They might get fewer but more reliable buddies (like Agent Darren's ex-SEAL buddies in ROE) who can provide some support and maybe an extra body or two.  They could by fewer high level contacts, patrons who can provide more extensive support but at greater risk (like Skinner in the X-Files).  The players can customize them for reliability, connection to the player and so on.  The players get some support for ops (without being able to claim tons of contacts that might be unrealistic and unbalancing) and the Keeper gets several NPCs that are essentially done for him and if not used as simple cannon fodder, can provide scenario hooks and role-playing experiences.