  Recently Feinberg et al. [arXiv:1609.03990] established results on continuity
properties of minimax values and solution sets for a function of two variables
depending on a parameter. Such minimax problems appear in games with perfect
information, when the second player knows the move of the first one, in
turn-based games, and in robust optimization. Some of the results in
[arXiv:1609.03990] are proved under the assumption that the multifunction,
defining the domains of the second variable, is $A$-lower semi-continuous. The
$A$-lower semi-continuity property is stronger than lower semi-continuity, but
in several important cases these properties coincide. This note provides an
example demonstrating that in general the $A$-lower semi-continuity assumption
cannot be relaxed to lower semi-continuity.
