2026-03-08T04:44:23Z https://chuo-u.repo.nii.ac.jp/oai

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Discrete and Continuous Dynamics in Nonlinear Monopolies MATSUMOTO, Akio SZIDAROVSKY, 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。 Time delay Inertia Gradient dynamics Continuous and discrete dynamics Bounded rationality Monopoly application/pdf Dynamic monopolies are investigated with discrete and continuous time scales by assuming general forms of the price and cost functions. The existence of the unique profi…t maximizing output level is proved. The discrete model is then constructed with gradient adjustment. It is shown that the steady state is locally asymptotically stable if the speed of adjustment is small enough and it goes to chaos through period-doubling cascade as the speed becomes larger. The non-negativity condition that prevents time trajectories from being negative is derived. The discrete model is converted into the continuous model augmented with time delay and inertia. It is then demonstrated that stability can be switched to instability and complex dynamics emerges as the length of the delay increases and that instability can be switched to stability as the inertia coefficient becomes larger. Therefore the delay has the destabilizing effect while the inertia has the stabilizing effect. 中央大学経済研究所 2013-09-01 eng departmental bulletin paper VoR https://chuo-u.repo.nii.ac.jp/records/6095 経済研究所 Discussion Paper IERCU Discussion Paper 210 https://chuo-u.repo.nii.ac.jp/record/6095/files/IERCU~~210~1.pdf application/pdf 233.1 kB 2019-04-22