A monotonic core concept for convex games: The SD-prenucleolus

We prove that the SD-prenucleolus satisfies monotonicity in the class of convex games. The SD-prenucleolus is thus the only known continuous core concept that satisfies monotonicity for convex games. We also prove that for convex games the SD-prenucleolus and the SD-prekernel coincide.-Spanish Ministerio de Ciencia e Innovación under project ECO2012-31346.-Basque Government funding for Grupo Consolidado GIC07/146-IT-377-0