Hicks neutrality and homotheticity in technologies with multiple inputs and multiple outputs

• Input homotheticity is equivalent with output under the α -returns to scale technology. Hicks neutrality neutral technical change α-returns The Malmquist and Hicks-Moorsteen productivity indexes can coincide if technology either input homothetic or homothetic. neutral. We analyze two popular notions in production theory: notion of Both these are characterized by radial expansions contractions relevant isoquants, yet different ways. In case multiple-input multiple-output, an isoquant combinations. Thus, for each notions, there types conditions: one based on isoquants other isoquants. show that notion, conditions From this result, we also derive several implications properties well-known indexes, such as index index.