Given non-negative integers m,n,h and k with m≥h>1 and n≥k>1,an (h,k)-bipartite hypertournament on m+n vertices is a triple(U,V,A),where U and V are two sets of vertices with |U|=m and |V|=n,and A is a set of(h+k)-tuples of vertices, called arcs,with at most h vertices from U and at most k vertices from V,such that for any h+k subsets U_1∪V_1 of U∪V,A contains exactly one of the(h+k)!(h+k)-tuples whose entries belong to U_1∪V_1.Necessary and sufficient conditions for a pair of non-decreasing sequences of non-negative integers to be the losing score lists or score lists of some(h,k)-bipartite hypertournament are obtained.
