Patience in some non-additive models

Our aim is to give an axiomatization of preferences over infinite consumptionstreams. At first we adopt the additive case, and give a characterization of pref-erences which satisfy patience (Marinacci (1998)) or equivalently what Diamond(1965) named equal treatment of all generations. We then focus on station-ary additive preferences. It appears that this class of functionals contains thediscounting functionals axiomatized in Koopmans (1972) and what is knownas Banach-Mazur limit functionals. Extending the patience condition to naivepatience gives an impossibility theorem and this motivates an extension to non-additives preferences.