  The Rock-Scissors-Paper game has been studied to account for cyclic behaviour
under various game dynamics. We use a two-person parametrised version of this
game. The cyclic behaviour is observed near a heteroclinic cycle, in a
heteroclinic network, with two nodes such that, at each node, players alternate
in winning and losing. This cycle is shown to be as stable as possible for a
wide range of parameter values. The parameters are related to the players'
payoff when a tie occurs.
