A classic death by a thousand cuts sort of deck -- the overall goal is just to snipe away at a few cards at a time from the runner until they just have no choice but to lay down and die. 'net damage' is basically when the Corp gets to snatch a card out of the Runner's hand and toss it; if you do more net damage than the Runner has cards in their hand, they die and you win the game. Not every Netrunner game is about scoring agendas. ;)
So cards like House of Knives, Snare, Breached Done, DNA Tracker and the like are all designed to make it really painful to run your servers; use them wisely. if you have too many agendas in your hand and nowhere to put them, use Special Report to shuffle them back into your deck. Put Ben Musashi in the server you plan to score agendas out in; with him, runners have to sacrifice 3 cards to even steal an agenda. If they have Film Critic in their deck (a card that can really ruin decks like these), use Voter Intimidation to trash it if they got it.
Money: Use Celebrity Gift, Hedge Fund, Biased Reporting, and IPO for that, and click for credits when you can; this deck can run a bit poor, but if you save enough money you can set up a really spicy gauntlet for them to run.