In this paper, a new fairness notion is proposed for languages with mu
lti-party interactions as the sole interprocess synchronization and co
mmunication primitive. The main advantage of this fairness notion is t
he elimination of starvation occurring solely due to race conditions (
i.e., ordering of independent actions). Also, this is the first fairne
ss notion for such languages which is fully adequate with respect to t
he criteria presented in [2]. The paper defines the notion, proves its
properties, and presents examples of its usefulness.