Spatial Equilibrium in the Dispersed City

Beckmann, Martin J.

doi:10.1007/978-3-642-45488-2_8

Cited by 91 publications

(93 citation statements)

References 3 publications

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“…It is noteworthy that the framework of Henderson (1981) is the same as that of social interaction models (e.g., Beckmann, 1976;Tabuchi, 1986), which study spatial agglomeration of economic activities. Beckmann (1976) led to numerous extensions and modifications (Fujita and Ogawa, 1982;Fujita, 1988;Berliant et al, 2002;Mossay and Picard, 2011;Akamatsu et al, 2014a) that provide approaches for characterizing equilibrium and social optimum.…”

Section: Related Literaturementioning

confidence: 99%

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Bottleneck congestion and distribution of work start times: The economics of staggered work hours revisited

Takayama

2015

Transportation Research Part B: Methodological

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Since the seminal work of Henderson (1981), a number of studies examined the effect of staggered work hours by analyzing models of work start time choice that consider the trade-off between negative congestion externalities and positive production externalities. However, these studies described traffic congestion using flow congestion models. This study develops a model of work start time choice with bottleneck congestion and discloses the intrinsic properties of the model. To this end, this study extends Henderson's model to incorporate bottleneck congestion. By utilizing the properties of a potential game, we characterize equilibrium and optimal distributions of work start times. We also show that Pigouvian tax/subsidy policies generally yield multiple equilibria and that the first-best optimum must be a stable equilibrium under Pigouvian policies, whereas the secondbest optimum in which policymakers cannot eliminate queuing congestion can be unstable.JEL classification: C62; C72; C73; D62; R41; R48

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Section: Related Literaturementioning

confidence: 99%

“…Beckmann (1976) led to numerous extensions and modifications (Fujita and Ogawa, 1982;Fujita, 1988;Berliant et al, 2002;Mossay and Picard, 2011;Akamatsu et al, 2014a) that provide approaches for characterizing equilibrium and social optimum.…”

Section: Related Literaturementioning

confidence: 99%

Bottleneck congestion and distribution of work start times: The economics of staggered work hours revisited

Takayama

2015

Transportation Research Part B: Methodological

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“…Hence, even when agents are uniformly distributed over space, those at border locations may search only among a smaller set of potential trading partners compared to those at central locations. Such a handicap confronting occupants of border locations is in addition to the usual classical endpoint effect in the location models considered by Beckmann (1976) and Borukhov and Hochman (1977), in which agents at border locations travel longer distances on average to reach others in a linear space.…”

Section: Model and Spatial Equilibriummentioning

confidence: 99%

“…The formal structure of the model is similar to that of models of the interaction of agents over space in Solow and Vickrey (1971), Beckmann (1976), and Borukhov and Hochman (1977). Assuming that everyone travels to interact with all others in a given locale, these models study the equilibrium location distribution of households and firms.…”

Section: Introductionmentioning

confidence: 99%

Thick market externalities in a spatial model

Tse

2010

Regional Science and Urban Economics

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It is natural to think of thick market externalities as spatial phenomena. When agents are in close physical proximity, potential trading partners are more numerous and less costly to reach. Counteracting such agglomeration benefits is the dispersion force due to land being an essential input in production. The distribution of economic activities over space is an outcome of how decisions on location, land demand, and the search strategy of agents interact in spatial equilibrium. More desirable locations are those that allow their occupants more abundant and less costly access to potential trading partners. In spatial equilibrium, these are the densest locations, the occupants of which benefit from the strongest thick market externalities.

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“…Considering the fact that face-to-face communications are important for understanding the mechanisms behind spatial distributions of economic activities, Beckmann (1976) presented a model in which people aiming to interact with others choose their area of location, referred to as a cell in this study. Although people can reduce the cost of interactions by locating close to one another, agglomeration can cause congestion, such as increases in housing prices.…”

Section: Introductionmentioning

confidence: 99%

Discrete-space agglomeration model with social interactions: Multiplicity, stability, and continuous limit of equilibria

Akamatsu

Fujishima

Takayama

2017

Journal of Mathematical Economics

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This study examines the properties of equilibrium, including the stability, of discretespace agglomeration models with social interactions. The findings reveal that while the corresponding continuous-space model has a unique equilibrium, the equilibrium in discrete space can be non-unique for any finite degree of discretization by characterizing the discrete-space model as a potential game. Furthermore, it indicates that despite the above result, any sequence of discrete-space models' equilibria converges to the continuous-space model's unique equilibrium as the discretization of space is refined.

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Spatial Equilibrium in the Dispersed City

Cited by 91 publications

References 3 publications

Bottleneck congestion and distribution of work start times: The economics of staggered work hours revisited

Bottleneck congestion and distribution of work start times: The economics of staggered work hours revisited

Thick market externalities in a spatial model

Discrete-space agglomeration model with social interactions: Multiplicity, stability, and continuous limit of equilibria

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