So I'm writing a term paper for my introductory syntax class on Larson's and Jackendoff's theories of the structure of double object verbs. Jackendoff argues for a more linear, tertiary branching structure, and Larson argues for more complex a hierarchical, binary branching structure that involves movement.
In the two papers I've read there's nothing about extending the theories to verbs with more objects (perhaps because they are rare). So I was wondering if there's a reason that verbs with more than two complements/arguments are so rare and also if there's any way that this phenomena could be explained by structural constraints following from the theories proposed by Jackendoff and Larson. Also, if anyone has suggestions for other articles/papers that discuss syntactic theories of verbs that take more than two arguments that would be great too.
Edit: Does Greg Lee's answer address the following sentences?: "John gave the book to Mary" "I bet you five dollars that I will win the race"