  The Quantum Kolkata restaurant problem is a multiple-choice version of the
quantum minority game, where a set of n non-communicating players have to chose
between one of m choices. A payoff is granted to the players that make a unique
choice. It has previously been shown that shared entanglement and quantum
operations can aid the players to coordinate their actions and acquire higher
payoffs than is possible with classical randomization. In this paper the
initial quantum state is expanded to a family of GHZ-type states and strategies
are discussed in terms of possible final outcomes. It is shown that the players
individually seek outcomes that maximize the collective good.
