This paper shows how uncertainty aversion can resolve ties in extensive gam
es of perfect information, and thereby refine subgame-perfection in such ga
mes. This is done by assuming that (a) players are rational with multi-prio
r expected utility functions of Gilboa and Schmeidler (1989), (Journal of E
conomic Theory 48, 221-237); and (b) a player's plan of the game correspond
s to set-valued acts at each of his decision nodes, the so-called strategy
system, in contrast to single-valued act as specified in the traditional no
tion of strategy profile. The effects of pre-communication channels among p
layers are studied, and are reflected in each of the three proposed solutio
ns. Finally, existence of equilibria are established for each proposed solu
tion concept as well as comparisons with other existing solutions. (C) 2000
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