Housing market short-term equilibriums maximizing linear utility functions

摘要

Some generalization of the housing market models published by Herbert and Stevens (1960), Gustafsson et al. (1980). Housing policy and housing market models-some disaggregated analyses, Document D16: 1980, Swedish Council for Building Research, Stockholm] and Wiesmeth (1985) is suggested. The set of short-term equilibriums in a housing market in the sense of Wiesmeth (1985) is parameterized by Pareto-maximal integral points of some polyhedron. The problem of maximization of a linear utility function over the set of short-term equilibriums is studied. The problem is proved to be reducible (under some natural assumptions) to a linear programming problem (LPP), or to finite number of the LPPs in general case. The possible applications of the results and some related problems are pointed out.