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Dynamic Models of Pollution Penalties and Rewards with Time Delays
Joint Authors
Szidarovszky, Ferenc
Matsumoto, Akio
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-06
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In cases of nonpoint pollution sources, the regulator can observe the total emission but unable to distinguish between the firms.
The regulator then selects an environmental standard.
If the total emission level is higher than the standard, then the firms are uniformly punished, and if lower, then uniformly awarded.
This environmental regulation is added to n-firm dynamic oligopolies, and the asymptotical behavior of the corresponding dynamic systems is examined.
Two particular models are considered with linear and hyperbolic price functions.
Without delays, the equilibrium is always (locally) asymptotically stable.
It is shown how the stability can be lost if time delays are introduced in the output quantities of the competitors as well as in the firms’ own output levels.
Complete stability analysis is presented for the resulting one- and two-delay models including the derivations of stability thresholds, stability switching curves, and directions of the stability switches.
American Psychological Association (APA)
Matsumoto, Akio& Szidarovszky, Ferenc. 2020. Dynamic Models of Pollution Penalties and Rewards with Time Delays. Abstract and Applied Analysis،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1119875
Modern Language Association (MLA)
Matsumoto, Akio& Szidarovszky, Ferenc. Dynamic Models of Pollution Penalties and Rewards with Time Delays. Abstract and Applied Analysis No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1119875
American Medical Association (AMA)
Matsumoto, Akio& Szidarovszky, Ferenc. Dynamic Models of Pollution Penalties and Rewards with Time Delays. Abstract and Applied Analysis. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1119875
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119875