THE DYNAMIC STABILITY OF COALITIONIST BEHAVIOUR FOR TWO-STRATEGY BIMATRIX GAMES

摘要

In this paper replicator dynamics are introduced to describe the propagation of coalitionist behaviour in conflicts given by a two-strategy bimatrix games. In the proposed approach non-coalitionists play either Nash strategies or choose one of two pure strategies. In the first case it is proved that non-coalitionists are asymptotically eliminated. In the second case coalitionists can propagate without eliminating all non-coalitionists.