摘要: The hypothesis of non-jointness in input quantities (separate production functions) is well-known, and it plays an important role many areas economics. In this paper we define three additional forms which have received little or no attention the literature, might be relevant for firm as well representation aggregate technology. We characterize all terms variable profit joint cost functions. This yields a number restrictions are testable empirically. assumption that non-joint functions, inputs allocated between different processes) crucial economic theory. need only think international trade theory, public finance, macroeconomics, growth theory traded-non-traded good models finance. fact, safe to say more often than not assumed multiple-output models. Little work has been done test empirical validity quantities. Samuelson (1966) studies characterization technologies transformation function. As pointed out by Hall (1973), however, Samuelson's results do seem very useful econometric work. function; leads can easily imposed tested for, were used Burgess (1976) Kohli (1981). Lau (1972, 1978), finally, characterizes Besides quantities, also examines case output (when "cracked" into several outputs). two cases non-jointness, them function (or normalized restricted) new may describe at level firm, and, even so, level; some concepts other economics well, such consumer By distinguishing various one obtains on corresponding