Judgments of the International Court of Justice (ICJ) and awards of ad hoc arbitration tribunals carry special weight in international maritime boundary law. On its face, the international maritime boundary law codified in the 1982 Convention on the Law of the Sea is indeterminate. For the continental shelf and the exclusive economic zone, the legal obligation of coastal states is to delimit the boundary “by agreement on the basis of international law, as referred to in Article 38 of the Statute of the International Court of Justice, in order to achieve an equitable solution.” The article on the delimitation of maritime boundaries in the territorial sea is no more determinative despite the fact that it makes direct references to the equidistant line, special circumstances and historic title. In spite of this indeterminacy, if not because of it, coastal states have found that third-party dispute settlement procedures can effectively resolve maritime boundary delimitation disputes. As a consequence, there are more judgments and awards on maritime boundary disputes than on any other subject of international law, and this trend is continuing.