We study two forms of a symmetric cooperative game played by three players,
one classical and other quantum. In its classical form making a coalition gives
advantage to players and they are motivated to do so. However in its quantum
form the advantage is lost and players are left with no motivation to make a
coalition.Comment: Revised in the light of referee's comments. Submitted to Physics
Letters A. LaTex, 9 pages, 1 figure. Parts of this paper are rewritte