Determining market areas captured by competitive facilities: a continuous equilibrium modeling approach
Article Abstract:
The equilibrium choice behavior of customers for a given set of competitive facilities over a heterogeneous two-dimensional geographical space is analyzed using a continuum optimization model. The model is devised as a calculus of variations problem and its optimality conditions are observed to be similar to the spatial customer-choice equilibrium conditions. To illustrate the proposed deterministic equilibrium model and the finite-element method based algorithm, a useful numerical technique is presented.
Publication Name: Journal of Regional Science
Subject: Social sciences
ISSN: 0022-4146
Year: 1999
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Bayesian smoothing of rates in small geographic areas
Article Abstract:
A Bayesian model has been developed to obtain accurate geographic distribution of socio-economic and public health data rates. The model, which relies on a statistical method of smoothing raw rates, accounts for heterogeneity and heteroskedasticity by using a restricted maximum likelihood estimators. Its reliability has been demonstrated in the analysis of a data set on undercoverage in the 1980 US Census.
Publication Name: Journal of Regional Science
Subject: Social sciences
ISSN: 0022-4146
Year: 1995
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The Economic Law of Market Areas: a further discussion
Article Abstract:
The Economic Law of Market Areas assumes that the market-area boundary between two competing producers consists of a line along which the variation in the unit transportation costs from the two centers offsets the price difference at these centers. However, more thorough analyses indicate that this concept is only accurate when used on a case-to-case basis.
Publication Name: Journal of Regional Science
Subject: Social sciences
ISSN: 0022-4146
Year: 1995
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