An imperfect competition on scale-free networks

Tomohiko Konno

doi:10.1016/j.physa.2013.06.017

An imperfect competition on scale-free networks

Tomohiko Konno^*

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

We study an imperfect quantity competition on networks that represent rivalry relationships among firms. We show that the more heterogeneous the underlying network is, the more the output and the price are. The output and the price on scale-free networks are counter-intuitively the same as those in the monopoly regardless of the number of rival firms. We also show that any inverse demand function represented by a network has the corresponding utility function, which justifies the inverse demand function.

Original language	English
Pages (from-to)	5453-5460
Number of pages	8
Journal	Physica A: Statistical Mechanics and its Applications
Volume	392
Issue number	21
DOIs	https://doi.org/10.1016/j.physa.2013.06.017
Publication status	Published - 2013 Nov 1
Externally published	Yes

Keywords

Imperfect competition
Monopoly solution
Network heterogeneity
Scale-free networks

ASJC Scopus subject areas

Condensed Matter Physics
Statistics and Probability

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10.1016/j.physa.2013.06.017

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AB - We study an imperfect quantity competition on networks that represent rivalry relationships among firms. We show that the more heterogeneous the underlying network is, the more the output and the price are. The output and the price on scale-free networks are counter-intuitively the same as those in the monopoly regardless of the number of rival firms. We also show that any inverse demand function represented by a network has the corresponding utility function, which justifies the inverse demand function.

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KW - Monopoly solution

KW - Network heterogeneity

KW - Scale-free networks

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An imperfect competition on scale-free networks

Abstract

Keywords

ASJC Scopus subject areas

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