A nonparametric analysis of the Cournot model

An observer makes a number of observations of an industry producing a homogeneous good. Each observation consists of the market price, the output of individual firms and perhaps information on each firm's production cost. We provide various tests (typically, linear programs) with which the ob...

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Hlavní autoři: Quah, J, Carvajal, A
Médium: Working paper
Vydáno: University of Oxford 2009
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author Quah, J
Carvajal, A
author_facet Quah, J
Carvajal, A
author_sort Quah, J
collection OXFORD
description An observer makes a number of observations of an industry producing a homogeneous good. Each observation consists of the market price, the output of individual firms and perhaps information on each firm's production cost. We provide various tests (typically, linear programs) with which the observer can determine if the data set is consistent with the hypothesis that firms in this industry are playing a Cournot game at each observation. When cost information is wholly or partially unavailable, these tests could potentially be used to derive cost information on the firms. This paper is a contribution to the literature that aims to characterize (in various contexts) the restrictions that a data set must satisfy for it to be consistent with Nash outcomes in a game. It is also inspired by the seminal result of Afriat (and the subsequent literature) which addresses similar issues in the context of consumer demand, though one important technical difference from most of these results is that the objective functions of firms in a Cournot game are not necessarily quasiconcave.
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spelling oxford-uuid:ebdf7c75-23c4-4be9-97fc-1649795ddbc82022-03-27T11:13:11ZA nonparametric analysis of the Cournot modelWorking paperhttp://purl.org/coar/resource_type/c_8042uuid:ebdf7c75-23c4-4be9-97fc-1649795ddbc8Symplectic ElementsBulk import via SwordUniversity of Oxford2009Quah, JCarvajal, AAn observer makes a number of observations of an industry producing a homogeneous good. Each observation consists of the market price, the output of individual firms and perhaps information on each firm's production cost. We provide various tests (typically, linear programs) with which the observer can determine if the data set is consistent with the hypothesis that firms in this industry are playing a Cournot game at each observation. When cost information is wholly or partially unavailable, these tests could potentially be used to derive cost information on the firms. This paper is a contribution to the literature that aims to characterize (in various contexts) the restrictions that a data set must satisfy for it to be consistent with Nash outcomes in a game. It is also inspired by the seminal result of Afriat (and the subsequent literature) which addresses similar issues in the context of consumer demand, though one important technical difference from most of these results is that the objective functions of firms in a Cournot game are not necessarily quasiconcave.
spellingShingle Quah, J
Carvajal, A
A nonparametric analysis of the Cournot model
title A nonparametric analysis of the Cournot model
title_full A nonparametric analysis of the Cournot model
title_fullStr A nonparametric analysis of the Cournot model
title_full_unstemmed A nonparametric analysis of the Cournot model
title_short A nonparametric analysis of the Cournot model
title_sort nonparametric analysis of the cournot model
work_keys_str_mv AT quahj anonparametricanalysisofthecournotmodel
AT carvajala anonparametricanalysisofthecournotmodel
AT quahj nonparametricanalysisofthecournotmodel
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