  Oriented matroids can serve as a tool of modeling of collective
decision-making processes in contradictory problems of pattern recognition. We
present a generalization of the committee techniques of pattern recognition to
oriented matroids. A tope committee for an oriented matroid is a subset of its
maximal covectors such that every positive halfspace contains more than half of
the maximal covectors from this subset. For a large subfamily of oriented
matroids their committee structure is quite rich; for example, any maximal
chains in their tope posets provide one with information sufficient to
construct a committee.
