Housing Market Quantity Constrained Equilibrium Linear Programming Unimodularity
Issue Date:
1998
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 12, No 1, (1998), 51p-56p
Abstract:
Some generalization of the housing market models published by Herbert and Stevens
[4], Gustafsson et al. [2], and Wiesmeth [7] is suggested. The set of short-term
equilibria in a housing market in the sense of Wiesmeth [7] 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.
