Stable outcomes of the roommate game with transferable utility

We consider the TU version of Gale and Shapley's roommate game. We find sev eral results that: are analogous to known results for the NTU game, such as a characterization of stable outcomes by forbidden miners, a characterizat ion of the extreme points of the core, and a median property of stable outc omes. The TU roommate game is a special case of the TU partitioning game of Kaneko and Wooders. Bondareva and Shapley's balancedness condition for the core of such games is the starting point for our forbidden miners approach .