  In this paper we study the selection principle of closed discrete selection,
first researched by Tkachuk in [13] and strengthened by Clontz, Holshouser in
[3], in set-open topologies on the space of continuous real-valued functions.
  Adapting the techniques involving point-picking games on \(X\) and
\(C_p(X)\), the current authors showed similar equivalences in [1] involving
the compact subsets of \(X\) and \(C_k(X)\).
  By pursuing a bitopological setting, we have touched upon a unifying
framework which involves three basic techniques: general game duality via
reflections (Clontz), general game equivalence via topological connections, and
strengthening of strategies (Pawlikowski and Tkachuk).
  Moreover, we develop a framework which identifies topological notions to
match with generalized versions of the point-open game.
