In this note we present a slightly altered version of the mini ultimatum ga
me of G. E. Bolton and R. Zwick (1995, Games Econ. Behav. 10, 95-121). More
specifically, we replaced exactly equal splits by nearly equal splits eith
er (slightly) favoring the proposer or the responder. Such a minor change s
hould not matter if behavior was robust. We find, however, a significant ch
ange in behavior: Fair offers occur less often when equal splits are replac
ed by nearly equal splits. (C) 2001 Academic Press.