The core and the steady bargaining set for convex games

Within the class of superadditive cooperative games with transferable utility, the convexity of a game is characterized by the coincidence of its core and the steady bargaining set. As a consequence it is also proved that convexity can also be characterized by the coincidence of the core of a game and the modi ed Zhou bargaining set (Shimomura, 1997

The core and the steady bargaining set for convex games

Within the class of superadditive cooperative games with transferable utility, the convexity of a game is characterized by the coincidence of its core and the steady bargaining set. As a consequence it is also proved that convexity can also be characterized by the coincidence of the core of a game and the modi ed Zhou bargaining set (Shimomura, 1997