  We present the effect of mergers in the dynamics of the three-agent model
studied by Ben-Naim, Kahng and Kim and by Rador and Mungan. Mergers are
possible in three-agent games because two agents can combine forces against the
third player and thus increase their probability to win a competition. We
implement mergers in this three-agent model via resolving merger and no-merger
units of competition in terms of a two-agent unit. This way one needs only a
single parameter which we have called the competitiveness parameter. We have
presented an analytical solution in the fully competitive limit. In this limit
the score distribution of agents is stratified and self-similar.
