Existence and uniqueness in Cournot models with cost externalities

Chiarella, C; Szidarovsky, F

Existence and uniqueness in Cournot models with cost externalities

Chiarella, C Szidarovsky, F

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Publisher:: Mathematical Institute of the Hungarian Academy of Sciences
Publication Type:: Journal Article
Citation:: Mathematica Pannonica, 2009, 20 (1), pp. 17 - 25
Issue Date:: 2009-01

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Field	Value	Language
dc.contributor.author	Chiarella, C	en_US
dc.contributor.author	Szidarovsky, F	en_US
dc.date.issued	2009-01	en_US
dc.identifier.citation	Mathematica Pannonica, 2009, 20 (1), pp. 17 - 25	en_US
dc.identifier.issn	0865-2090	en_US
dc.identifier.uri	http://hdl.handle.net/10453/9981
dc.description.abstract	In this paper we examine single product Cournot oligopolies, with- out product differentiation, under the assumption that the cost of each firm depends on its own output and also on the output of the rest of the industry. The competition of the firms on the secondary market for manpower, capital, energy, and so forth as well as the spillover effect of the R&D investments of the firms can be taken into account with this more general cost structure. The existence of a unique NashCournot equilibrium is proved under realistic conditions. Our result is a straightforward generalization of the well-known existence and uniqueness theorem of concave oligopolies.	en_US
dc.publisher	Mathematical Institute of the Hungarian Academy of Sciences	en_US
dc.relation.ispartof	Mathematica Pannonica	en_US
dc.relation.isbasedon	10.1016/S0960-0779(01)00006-6	en_US
dc.title	Existence and uniqueness in Cournot models with cost externalities	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	20	en_US
utslib.for	0101 Pure Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Business
utslib.copyright.status	closed_access
pubs.consider-herdc	true	en_US
pubs.issue	1	en_US
pubs.volume	20	en_US

Abstract:

In this paper we examine single product Cournot oligopolies, with- out product differentiation, under the assumption that the cost of each firm depends on its own output and also on the output of the rest of the industry. The competition of the firms on the secondary market for manpower, capital, energy, and so forth as well as the spillover effect of the R&D investments of the firms can be taken into account with this more general cost structure. The existence of a unique NashCournot equilibrium is proved under realistic conditions. Our result is a straightforward generalization of the well-known existence and uniqueness theorem of concave oligopolies.

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http://hdl.handle.net/10453/9981