Replicator dynamics with mutations for games with a continuous strategy   space
  A partial differential equation is derived, describing the replicator dynamics with mutations of games with a continuous strategy space. This equation is then applied to continuous versions of symmetric 2x2 games, such as the Prisoners Dilemma, Hawk-Dove and Coordination games, and to the Ultimatum Game. In the latter case, we find that adding even a small mutation term to the replicator equation leads to a solution where the average offer is significantly larger than zero. 
M. Ruijgrok, T.W. Ruijgrok