ISSN:
1467-9787
Source:
Blackwell Publishing Journal Backfiles 1879-2005
Topics:
Geography
,
Economics
Notes:
A wide variety of existing models of spatial agglomeration postulate additive-interaction effects among agents. In this paper, a synthesis of such models is achieved by establishing certain mathematical equivalences between them. In particular, it is shown that Rockafellar's conjugacy theory of concave functions yields a symmetric one-to-one correspondence between three classes of existing models, here designated as spatial-accessibility models, endogenous-contact models, and fixed-contact models. These correspondences not only allow the transference of results between models, but also suggest new economic interpretations of each model in terms of its conjugate model. A series of examples are drawn from the literature to illustrate these results.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1111/j.1467-9787.1990.tb00080.x
