Prototype based languages use a variation on object oriented programming. Rather than use an inheritance hierarchy of classes, prototype based languages use the notion that an object can express just what makes it unique and then reference one or more "prototypes". These prototypes are just other objects. Give or take issues around initialization and mutation, a conventional class hierarchy can be approximated by expressing classes as prototypes themselves in a hierarchy, referenced by each instance. However, part of the appeal of the approach is that it is ideally more flexible than a traditional static class hierarchy, allowing for possibilities like "dynamic inheritance".
The original prototype based language (and probably its most pure form of expression) is the Self programming language. Everything in Self, down to activation frames for parameter passing is a collection of key value pairs in which special keys (marked with an asterisk *) are prototypes, which can be assigned a precedence. All parent trees are traversed when deciding how to resolve a key, if two equal precedence resolutions are possible, an error is thrown. This allows for multiple inheritance, with semi-sane conflict resolution.
NewtonScript, the programming language for the Apple Newton, was inspired by a desire to fit Self into the constraints of a 128KB device. Self like chaining was viewed as a way to compress the size of objects as well as a flexible implementation choice. One simplification made, was that rather than allowing an unlimited number of prototypes, two are allowed: _proto, _parent. _proto has a higher precedence than _parent. This allowed for _proto to fill a traditional inheritance role, and _parent to allow GUI widgets to propagate un-handled events up to their parent. Unlike Self, this would not allow direct simulation of multiple inheritance. Offhand it seems like the weaker notion of a set of standalone mix-ins might be possible, by creating a chain of mix-ins using _proto and _parent to build list chains, much like (car, cdr) to cons'es in Lisp. Strictly this could probably also approximate multiple inheritance generally, with the requirement that parent classes would have to have a strict precedence order.
I wonder if anyone has done a prototyping language which handles the prototype by calling an un-handled message slot with messages to delegate. Yea old Internet says Squeak Smalltalk can do this via ObjectTracer, but that sounds like a slow debugging type interface not something you'd want every message to pass through. I would imagine Self's "implicit" delegation was probably motivated by the many performance optimizations it can do, pointing to the same conclusion.