  In this paper, we study reflected backward stochastic differential equation
(reflected BSDE in abbreviation) with rank-based data in a Markovian framework;
that is, the solution to the reflected BSDE is above a prescribed boundary
process in a minimal fashion and the generator and terminal value of the
reflected BSDE depend on the solution of another stochastic differential
equation (SDE in abbreviation) with rank-based drift and diffusion
coefficients. We derive regularity properties of the solution to such reflected
BSDE, and show that the solution at the initial starting time $t$ and position
$x$, which is a deterministic function, is the unique viscosity solution to
some obstacle problem (or variational inequality) for the corresponding
parabolic partial differential equation.
