An inner core equivalence theorem

Two remarks on the inner core

“…The inner core is thus non empty. Convergence and equivalence results for the core can be immediately extended to the inner core (see Qin, 1994a).…”

An axiomatization of the inner core using appropriate reduced games

“…It is worth noting that competitive equilibria always belong to the inner core in exchange economies with concave utility functions. The inner core being a subset of the core, the converge and equivalence results established for the core also apply to the inner core (Qin, 1994;de Clippel and Minelli, 2005).…”