We extend Jackson and Watts's (2002) result on the coincidence of S-stochastically stable and core stable networks from … marriage problems to roommate problems. In particular, we show that the existence of a side-optimal core stable network, on …

We prove the non-emptiness of the core of an NTU game satisfying a condition of payoff-dependent balancedness, based on … transfer rate mappings. We also define a new equilibrium condition on transfer rates and we prove the existence of core payoff … vectors satisfying this condition. The additional requirement of transfer rate equilibrium refines the core concept and allows …