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Dynamic Models of Pollution Penalities and Rewards with Time Delays MATSUMOTO, Akio SZIDAROVSZKY, Ferenc この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。 Non-point source pollution Ambient charge Time delays linear and hyperbolic demand Stability switching curve application/pdf In cases of non-point 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 highter 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. 中央大学経済研究所 2019-12-23 eng departmental bulletin paper VoR https://chuo-u.repo.nii.ac.jp/records/12473 経済研究所 Discussion Paper IERCU Discussion Paper 327 https://chuo-u.repo.nii.ac.jp/record/12473/files/DPno327.pdf application/pdf 172.3 kB 2020-08-21