The equivalence of convex and concave transport cost in a circular spatial model with and without zoning

This article depicts a location game in a circular market. The equivalence results between a convex and a concave transport cost are reexamined by assuming an arbitrary length. In contrast to previous research the solution found shows that the equivalence relationship depends on the space length. Fu...

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Autores principales:	Hamoudi,Hamid, Rodríguez Iglesias,Isabel Mª, Sanz Martín-Bustamante,Marcos
Lenguaje:	English
Publicado:	Universidad de Chile. Departamento de Economía 2015
Materias:	Convexity concavity spatial competition circular model transport costs regulator
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-52862015000100001
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spelling	oai:scielo:S0718-528620150001000012015-09-24The equivalence of convex and concave transport cost in a circular spatial model with and without zoningHamoudi,HamidRodríguez Iglesias,Isabel MªSanz Martín-Bustamante,Marcos Convexity concavity spatial competition circular model transport costs regulator This article depicts a location game in a circular market. The equivalence results between a convex and a concave transport cost are reexamined by assuming an arbitrary length. In contrast to previous research the solution found shows that the equivalence relationship depends on the space length. Furthermore, the analysis is extended to a circular model with unitary length and zoning. In this case equivalence does not hold. Moreover, non-existence of equilibrium is shown under strictly linear quadratic functions. Surprisingly, equilibrium exists for a concave quadratic function but not for a convex quadratic function.info:eu-repo/semantics/openAccessUniversidad de Chile. Departamento de EconomíaEstudios de economía v.42 n.1 20152015-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-52862015000100001en10.4067/S0718-52862015000100001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Convexity concavity spatial competition circular model transport costs regulator
spellingShingle	Convexity concavity spatial competition circular model transport costs regulator Hamoudi,Hamid Rodríguez Iglesias,Isabel Mª Sanz Martín-Bustamante,Marcos The equivalence of convex and concave transport cost in a circular spatial model with and without zoning
description	This article depicts a location game in a circular market. The equivalence results between a convex and a concave transport cost are reexamined by assuming an arbitrary length. In contrast to previous research the solution found shows that the equivalence relationship depends on the space length. Furthermore, the analysis is extended to a circular model with unitary length and zoning. In this case equivalence does not hold. Moreover, non-existence of equilibrium is shown under strictly linear quadratic functions. Surprisingly, equilibrium exists for a concave quadratic function but not for a convex quadratic function.
author	Hamoudi,Hamid Rodríguez Iglesias,Isabel Mª Sanz Martín-Bustamante,Marcos
author_facet	Hamoudi,Hamid Rodríguez Iglesias,Isabel Mª Sanz Martín-Bustamante,Marcos
author_sort	Hamoudi,Hamid
title	The equivalence of convex and concave transport cost in a circular spatial model with and without zoning
title_short	The equivalence of convex and concave transport cost in a circular spatial model with and without zoning
title_full	The equivalence of convex and concave transport cost in a circular spatial model with and without zoning
title_fullStr	The equivalence of convex and concave transport cost in a circular spatial model with and without zoning
title_full_unstemmed	The equivalence of convex and concave transport cost in a circular spatial model with and without zoning
title_sort	equivalence of convex and concave transport cost in a circular spatial model with and without zoning
publisher	Universidad de Chile. Departamento de Economía
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-52862015000100001
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The equivalence of convex and concave transport cost in a circular spatial model with and without zoning

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