Strong, weak and Farrell efficient frontiers of technologies satisfying different production assumptions

The literature on data envelopment analysis (DEA) and, more broadly, production theory employs different notions of efficiency for the characterization boundary points technologies. These include strong and weak (Pareto) efficiency, Farrell input output efficiency. For conventional constant variable returns-to-scale technologies, relationship between has been explored in is well understood now. In this paper we show that, general case, which includes many recently developed no longer valid. We that such depends properties a particular technology as convexity, disposability characteristics. Our results are applicable to new technologies methods their testing have not fully explored.