| 随机意义下的古诺模型 |
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| 引用本文： | 喻开志. 随机意义下的古诺模型[J]. 贵州师范大学学报(自然科学版), 2002, 20(2): 4-6 |
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| 作者姓名： | 喻开志 |
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| 作者单位： | 重庆师范学院数学与计算机系,400047,重庆 |
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| 基金项目： | 国家自然科学基金项目 (79770 10 5 )，重庆市科委资助项目 (5 5 6 9) |
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| 摘 要： | 把经济学中的古诺模型推广为随机需求———总需求为一个齐次Poisson过程 ,进而由需求函数构造随机价格 ,最后利用期望的概念给出了利润最大化的条件、厂商的反应函数和均衡解。而且还给出了厂商达到均衡的时间。
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| 关 键 词： | 经济学 古诺模型 Poisson过程 期望 方差 均衡解 反应函数 |
| 文章编号： | 1007-5570(2002)02-0004-03 |
| 修稿时间： | 2001-12-30 |
Cournot model with stochastic demand |
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| YU Kai zhi. Cournot model with stochastic demand[J]. Journal of Guizhou Normal University(Natural Sciences), 2002, 20(2): 4-6 |
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| Authors: | YU Kai zhi |
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| Abstract: | We shall extend the concept of the demand function in Cournot model to cover the stochastic.In this model,assume that a consumer reaches to buy the mineral water produced by firm A or B in accordance with a homogeneous Poisson process having a known rate λ.And assume that the amount by the consumer in t) is a stochastic process.In this paper,we provide the reaction function of the firms and the equilibrium solution in stochastic sense.We also provide the estimation of the reaction function and equilibrium solution in expectation sense.What is more,the equilibrium time is first provided. |
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| Keywords: | economics Cournot model Poisson process expectation variance equilibrium solution reaction function |
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