This paper introduces a generalised idea of lottotype
competitive learning algorithm (LTCL) where
one or more winners exist. The winners are
divided into tiers, with each tier being rewarded
differently. Again, the losers are all penalised
equally. A set of dynamic LTCL equations is then
introduced to assist the study of the stability of the
generalised lotto-type competitive learning. It is
shown that if a K-orthant exists in the LTCL’s state
space, which is an attracting invariant set of the
network’s flow, it will converge to a fixed point