| Project/Area Number |
11630024
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
経済理論
|
|---|
| Research Institution | Fukuoka University |
|---|
Principal Investigator |
HAYASHI Moto (2001) Faculty of Ecomomics, Fukuoka University, Professor, 経済学部, 教授 (10090789)
藤本 浩明 (1999) 福岡大学, 経済学部, 助教授 (50209102)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
FUJIMOTO Hiroaki Faculty of Ecomomics, Fukuoka University, Associate Professor, 経済学部, 助教授 (50209102)
林 基 福岡大学, 経済学部, 教授 (10090789)
クラフチック マリウシュ・K 福岡大学, 経済学部, 助教授 (70299535)
須賀 晃一 福岡大学, 経済学部, 教授 (00171116)
|
|---|
| Project Period (FY) |
1999 – 2001
|
| Project Status |
Completed (Fiscal Year 2001)
|
| Budget Amount *help |
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2001: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2000: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1999: ¥1,100,000 (Direct Cost: ¥1,100,000)
|
|---|
| Keywords | Durable Good / Increasing Marginal Costs / Coase's Conjecture / LQ Control Problem / Reid's method / Matrix Defferential Equation of Riccati Type / Optimak Control Law / 行列リャプノフ関数 / リカッチ方程式 / レイド / プラウアー&ノエル / リャプノフ関数 / 動学的一般均衡分析 / 耐久財の供給独占 / 耐久財の動学モデル / 供給独占の動学モデル / 最適制御法 / 閉ループ解 |
|---|
| Research Abstract |
Say it is known that a monopoly firm produces a durable goad with increasing marginal costs, At what price will she sell the good to consumers? Coase (1972) conjectures with a static model that the price (and the total stock of the good owned by consumers) will move towards a competitive level rather than towards a monopolistic one unless she reduces the durability of the good. In this report, we would like to show with a dynamic model of a so-called LQ (linear quadratic) control problem, in which the model has a system of 2 linear differential equations of the price and stock and a quadratic evaluation functional of her profit, that what determines the Coase s conjecture and how she should control a rate of output of the good. We employ the Reid s method in order to resolve a matrix differential equation of Riccati type and obtain the firm s optimal control law, which does not depend upon initial states of the price and stock, for her profit maximization problem of the durable good.
|
