A Note on Arrow-Enthoven’s Sufficiency Theorem on Quasi-Concave Programming: Corrigendum to: Quasi-Concave Programming

In this note, we reconsider Arrow–Enthoven’s (1961) Sufficiency Theorem 1 on quasi-concave programming [Econometrica, 29(4), p. 783]. One example illustrates the fact that condition (c) of their Theorem 1 should include the twice continuous differentiability of the quasi-concave objective function so that the conditions of the theorem are sufficient to identify global optima.