AKA: Wait at the Altar
You make / force your counter-party to make the first offer. The disadvantage is that he now has the opportunity to anchor the discussion around his high value opening position. The advantage is that you now have his opening position on which to base your negotiation. You are getting information, but not without cost. Once he anchors the tendency is for you to accept his proposal as the benchmark. You are giving up power.
Intent: Gain information; force him to commit to a value range.
Style: Varied. It seems Avoiding and Competitive, but often ends up being Accommodative. One you give him the power to market he first offer, you are playing defense (if you aren't careful).
Counter: Anchor by going first, or re-anchor with a new proposal. You can also take a break (or recess), but you run the risk or accepting some version of his offer. If you can’t get him to climb down from an aggressive opening offer, you may end up walking away and finding another counter-party.
Note: Sometimes people will use this technique when they don’t know the market or are insecure about their opening valuation and erroneously conclude that the safest option is to force the other side to make the first offer. This is a VERY expensive form of research. If you don't know the range of values you are negotiating for, you are not ready to make a deal. If I am trying to figure out a new market, I may use this technique -- but I always plan on pausing the negotiation before I make a final offer.
One justification I often hear for using After You is that the counter-party may offer you a better deal than your most optimistic offer. While this has probably happened to someone, somewhere, it is not a good strategy to plan on stumbling across a foolish counter-party with valuable assets.
Final word: Whether you plan on going first (anchoring) or waiting for him to make the first offer, you still have to know what a WIN looks like.