  In this article we present several results concerning uniqueness of
$C$-viscosity and $L_{p}$-viscosity solutions for fully nonlinear parabolic
equations. In case of the Isaacs equations we allow lower order terms to have
just measurable bounded coefficients. Higher-order coefficients are assumed to
be H\"older continuous in $x$ with exponent slightly less than $1/2$. This case
is treated by using stability of maximal and minimal $L_{p}$-viscosity
solutions.
