  In this work the properties of multi choice minority games are studied by
means of extensive computational simulations. We have considered several ways
of rewarding the strategies of the players and compared the resulting
behaviours of the ensemble. It is shown that introducing a reward for the
second place can improve the overall performance significantly. Our new but
still very simple architecture of stategies shows interesting properties. In
the version of the multi choice minority game which also rewards second best
choice the unordered phase is strongly suppressed and the global performance of
the ensemble is significantly improved. The efficiency of this model can come
close to the one of standard minority games that use adaptive genetic
algorithms for searching good strategies.
