Progressive knowledge revealed preferences and sequential rationalizability

In this paper, we study the link between choices derived from monotonous set-dependent preferences and sequential rationalizability. This link is quite natural since choices derived from monotonous set-dependent preferences (introduced in [Houy, 2008b]) are characterized by a strong axiom of revealed preferences whereas sequentially rationalizable choice functions (introduced in [Manzini and Mariotti, 2007]) are characterized by a weak axiom of revealed preferences.