  The aim of this work is to put together two novel concepts from the theory of
integrable billiards: billiard ordered games and confocal billiard books.
Billiard books appeared recently in the work of Fomenko's school, in particular
of V. Vedyushkina. These more complex billiard domains are obtained by gluing
planar sets bounded by arcs of confocal conics along common edges. Such domains
are used in this paper to construct the configuration space for billiard
ordered games. We analyse dynamical and topological properties of the systems
obtained in that way.
