Empirical research has discovered that experimental subjects in ultima
tum bargaining situations generally fail to play the decision-theoreti
c optimum strategy, and instead play something between that strategy a
nd a fair split. In evolutionary dynamics, fair division and nearly fa
ir division strategies often go to fixation and weakly dominated strat
egies can do quite well. Computer simulations were done using three di
fferent ultimatum bargaining games as determinates of fitness. (1) No
tendency toward the elimination of weakly dominated strategies was obs
erved, with or without mutation. (2) Strategies making fair demands ha
d sizable basins of attraction. (3) In a system where five different d
emands can be made, demands closest to (approximately) 91% had the lar
gest basins of attraction. (4) If the strategies have thresholds for a
cceptable demands, rather than individuated responses to each demand,
the apparent optimum demand may be quite low: 64% for one set of trial
s.