Title
Housing Markets Through Graphs
Abstract
Housing market is a special type of exchange economy where each agent is endowed with one unit of an indivisible good (house) and wants to end up again with one unit, possibly the best one according to his preferences. If the endowments of all agents are pairwise different, an equilibrium as well as a core allocation always exist. However, for markets in which some agents’ houses are equivalent, the existence problem for the economic equilibrium is NP-complete. In this paper we show that the hardness result is not valid if the preferences of all agents are strict, but it remains true in markets with trichotomous preferences. Further, we extend some known results about housing markets to the case with equivalent houses using graph-theoretical methods.
Year
DOI
Venue
2010
10.1007/s00453-009-9347-7
Algorithmica
Keywords
Field
DocType
Housing market,Core,Pareto optimality,Economic equilibrium,Algorithm,NP-completeness
Graph theory,Graph,Pairwise comparison,NP-complete,Mathematical economics,Exchange economy,Mathematics,Economic equilibrium
Journal
Volume
Issue
ISSN
58
1
0178-4617
Citations 
PageRank 
References 
3
0.55
7
Authors
2
Name
Order
Citations
PageRank
Katarína Cechlárová122628.02
Tamás Fleiner224127.45