Exploiting separability in a multisectoral model of oligopolistic competition

Claude d'Aspremont; Rodolphe dos Santos Ferreira

doi:10.1016/j.mathsocsci.2020.01.009

Exploiting separability in a multisectoral model of oligopolistic competition

Claude d'Aspremont, Rodolphe dos Santos Ferreira^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The paper uses the most general version of a Dixit–Stiglitz economy and the concept of oligopolistic equilibrium, defined in previous work, with firms maximizing profits in prices and quantities under a market share and a market size constraint. The purpose here is to take even more advantage of separability so as to partition the oligopolistic sector into groups. Weak separability simplifies quantity conjectures and homothetic separability simplifies price conjectures. Oligopolistic equilibria can in addition be approximated by introducing group expenditure conjectures. Finally, the way different groups interact within the same industry is illustrated within the same framework.

Original language	English
Pages (from-to)	51-59
Number of pages	9
Journal	Mathematical Social Sciences
Volume	106
DOIs	https://doi.org/10.1016/j.mathsocsci.2020.01.009
Publication status	Published - Jul 2020

Keywords

Aggregation of price and quantity conjectures
Multisector economies
Oligopolistic competition

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10.1016/j.mathsocsci.2020.01.009

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title = "Exploiting separability in a multisectoral model of oligopolistic competition",

abstract = "The paper uses the most general version of a Dixit–Stiglitz economy and the concept of oligopolistic equilibrium, defined in previous work, with firms maximizing profits in prices and quantities under a market share and a market size constraint. The purpose here is to take even more advantage of separability so as to partition the oligopolistic sector into groups. Weak separability simplifies quantity conjectures and homothetic separability simplifies price conjectures. Oligopolistic equilibria can in addition be approximated by introducing group expenditure conjectures. Finally, the way different groups interact within the same industry is illustrated within the same framework.",

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AB - The paper uses the most general version of a Dixit–Stiglitz economy and the concept of oligopolistic equilibrium, defined in previous work, with firms maximizing profits in prices and quantities under a market share and a market size constraint. The purpose here is to take even more advantage of separability so as to partition the oligopolistic sector into groups. Weak separability simplifies quantity conjectures and homothetic separability simplifies price conjectures. Oligopolistic equilibria can in addition be approximated by introducing group expenditure conjectures. Finally, the way different groups interact within the same industry is illustrated within the same framework.

KW - Aggregation of price and quantity conjectures

KW - Multisector economies

KW - Oligopolistic competition

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SP - 51

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JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

ER -

Exploiting separability in a multisectoral model of oligopolistic competition

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Keywords

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CUBE: Católica Lisbon Research Unit in Business and Economics

Cite this

Exploiting separability in a multisectoral model of oligopolistic competition

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

CUBE: Católica Lisbon Research Unit in Business and Economics

Cite this