Dynamic Three-Dimensional Game about Advertisement,Service and Price
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摘要: 根据动态多维博弈理论,建立了两个企业在市场上关于产品广告、服务和价格选择的完全信息动态多维博弈模型,并求得了最优均衡解.设所得的均衡解中相应的参数为零,即可得到关于广告-价格或服务-价格的二维博弈的均衡.均衡解表明,静态和动态多维博弈均衡解的特征与一维博弈解的特征具有一致性.Abstract: According to the characteristics of dynamic multidimensional game,a model of dynamic multidimensional game with complete information between two firms about product pricing and expenditures on advertisement and services was established,and its equilibrium solution was obtained.The two-dimensional equilibrium for advertisement-price or service-price games can also be easily obtained by setting the corresponding parameter in the solved equilibrium to zero.The equilibrium indicates that the characteristic of equilibrium solutions to static and dynamic multidimensional game accords with that to one-dimensional game.
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Key words:
- multid imensional game /
- complete information /
- dynam ic,equilibrium /
- advertisement /
- service /
- price /
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谭德庆,胡培.Bertrand双寡头多维博弈模型及均衡[J].西南交通大学学报,2002,37(6):698-702.TAN Deqing,HU Pei.A multidimensional game model and its equilibrium in bertrand duopoly[J].Journal of Southwest Jiongtong University,2002,39(6):698-702.[2] 谭德庆,胡培.广告和服务投入及价格选择的多维博弈分析[J].西南交通大学学报,2005,40(1):82-84.TAN Deqing,HU Pei.Multidimensional game analysis of pricing and Inputs of advertisement and services[J] Journal of Southwest Jiongtong University,2005,40(1):82-84.[3] 施锡铨.博弈论[M].上海财经大学出版社,2000:118-124.[4] NASH J R.Essays on game theory[M].Edward Elgar Publishers,1966:45-52.
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