Absolute advantage
Absolute advantage is the ability to produce more of a good than others using the same resources.
The simplest reason to trade is that someone makes a thing better or cheaper than you do. That is absolute advantage, and on its own it is a poor guide to who should make what.
Absolute advantage is the ability to produce a good more efficiently, using fewer resources, than another party. It is the intuitive basis for trade, you make what you are best at, but it is comparative advantage, not absolute advantage, that actually determines who should produce what.
The intuitive but incomplete idea
Absolute advantage answers a natural question: who is better at producing this? If one country can make cloth with less labour than another, it has an absolute advantage in cloth. The idea, traced to Adam Smith, captures something real about specialisation, that it pays to let the more efficient producer make the thing, and it explains gains from trade when each party is best at something different.
Why it is not enough
Absolute advantage runs into trouble when one party is better at everything. By its logic, the more efficient country should make everything and the less efficient country nothing, which would leave no basis for trade. This is plainly wrong, and the resolution is comparative advantage: what matters is relative efficiency, the opportunity cost of producing one good in terms of another, not absolute efficiency. Even a party with no absolute advantage in anything still has a comparative advantage in something.
Keeping the two straight
Confusing absolute and comparative advantage is one of the most common errors in thinking about trade. The instinct that a country should protect industries where it is less efficient, or that being out-produced in everything means trade cannot help, rests on focusing on absolute advantage and missing the comparative logic. Absolute advantage tells you who is more efficient; comparative advantage tells you who should specialise in what, and the second is the one that determines the pattern and gains of trade.
Absolute advantage is the starting intuition that Smith made famous, valuable as far as it goes. Its importance today is largely as the foil for comparative advantage, the deeper idea that corrects it and explains why trade benefits even those who are best, or worst, at everything.