  We consider multi-variable reductions of the dispersionless DKP hierarchy
(the dispersionless limit of the Pfaff lattice) in the elliptic
parametrization. The reduction is given by a system of elliptic L\"owner
equations supplemented by a system of partial differential equations of
hydrodynamic type. The compatibility conditions for the elliptic L\"owner
equations are derived. They are elliptic analogues of the Gibbons-Tsarev
equations. We prove solvability of the hydrodynamic type system by means of the
generalized hodograph method. The associated diagonal metric is proved to be of
the Egorov type.
