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Urban Welfare Maximization and Housing Market Equilibrium in a Random Utility Setting

Bibliographic Data

ID4138637
AuthorsL-G Mattsson (Research Group for Urban and Regional Planning, Department of Mathematics, The Royal Institute of Technology, S-100 44 Stockholm, Sweden, corresponding author)
Year1987
Volume19
Issue2
Pages247-261
Publication date1987-02-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueEnvironment and Planning A Economy and Space (JOURNAL)
Journal identifiersISSN: 0308-518X • E-ISSN: 1472-3409
PublisherSAGE Publications Inc (PUBLISHER)
DOI10.1068/a190247
OpenAlexW2125501848
LanguageEN
Citations received3
References cited16

A welfare-maximization framework for the allocation of a given housing supply to urban submarkets is formulated. The approach is founded on a stochastic equilibrium model for the housing submarkets, the demands of which are based on generalized extreme value choice models. This allows the random utilities associated with different submarkets to be statistically dependent. The deterministic part of the utilities includes the submarket rent levels together with disutility measures related to the local population densities. This latter aspect can be regarded as a kind of spatial externality usually neglected in urban modelling. The optimization is performed with respect to a welfare criterion derived as the aggregated expected utility accruing to utility-maximizing households at normalized equilibrium rents. Since these rents are implicit functions of the policy variables, that is, the submarket housing supplies, the welfare maximization is not straightforward. However, as a main result it is shown that if the population density disutilities satisfy a convexity condition, the unique welfare-maximizing housing allocation can be found by solving a dual unconstrained convex minimization problem. Finally, the relationship with entropy maximization is clarified and the applicability of the framework to the joint choice of residential location and travel mode is demonstrated. Two examples of nested multinomial logit models illustrate the potential use of the approach

Convexity · Econometrics · Economics · Entropy maximization · Mathematical economics · Mathematical optimization · Maximization · Microeconomics · Population · Principle of maximum entropy · Statistics · Utility maximization · Utility maximization problem · Welfare · Housing Market and Economics · Mathematics · Transportation Planning and Optimization · Urban Transport and Accessibility

  • Stochastic Equilibrium Concepts in Additive Random Utility Models

    Open Access•Erik Anders Eriksson, Per Olov Lindberg•Papers of the Regional Science…•1989

  • Stochastic equilibrium concepts in additive random utility models

    Open Access•Erik Anders Eriksson, Per Olov Lindberg•Papers of the Regional Science…•1989

  • An integrated model of residential and employment location in a metropolitan region

    Open Access•Christer Anderstig, Lars‐Göran Mattsson et al.•Papers of the Regional Science…•1991

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    Kenneth A Small, Harvey S Rosen•Econometrica•1981

  • Some applications of welfare maximization approaches to residential location

    Open Access•Lars‐Göran Mattsson•Papers of the Regional Science…•1984

  • Spatial allocation of housing programmes

    Open Access•Magnus Holm, Lars Lundqvist•Papers of the Regional Science…•1977

  • On the design of land use plans through locational surplus maximisation

    Open Access•J D Coelho, Huw C W L Williams•Papers of the Regional Science…•1978

  • On the Formation of Travel Demand Models and Economic Evaluation Measures of User Benefit

    Open Access•Huw C W L Williams•Environment and Planning A…•1977

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    Open Access•Elia Werczberger, Joseph Berechman•Environment and Planning A…•1988

Unique citing works3
Citations per year0,08
Citation span1989 - 1991 (3)
Citation velocityhistorical
Highly citedNo
Citation typesNeutral: 2

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