  The Stable Marriage Problem (SMP) has been extremely discussed in the
literature and it is useful to a number of real-world applications. We propose
a generalized version of the SMP in which numbers of the matching groups are
different as in [9]. However, we go further to make a percentage of each group
behave as active message senders. As such, the special case in which all Males
are active messengers (beta = 1) and all Females are not active (alpha = 0)
replicates the results in [9]. Moreover, we use numerical simulation to present
three cases (and their extremes) in which we vary the percentage of active
messengers in each group. Whereas we are able to replicate previous work, our
numerical simulations also suggest that socially optimal comes only when the
groups are homogeneous. More real-world like results are presented when members
from both groups are active message senders.
