| 来源类型 | Article
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| 规范类型 | 其他
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| DOI | 10.1007/BF02207772
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| Differential game model of the dynastic cycle: 3D-canonical system with a stable limit cycle. |
| Feichtinger G; Novak A
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| 发表日期 | 1994
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| 出处 | Journal of Optimization Theory and Applications 80 (3): 407-423
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| 出版年 | 1994
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| 语种 | 英语
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| 摘要 | Ancient Chinese history reveals many examples of a cyclical pattern of social development connected with the rise and the decline of dynasties. In this paper, a possible explanation of the periodic alternation between despotism and anarchy by a dynamic game between the rulers and the bandits is offered. The third part of the society, the farmers, are dealt with as a renewable resource which is exploited by both players in a different manner. It is shown that the Nash solution of this one-state differential game may be a persistent cycle. Although we restrict the analysis to open-loop solutions, this result is of interest for at least two reasons. First, it provides one of the few existing dynamic economic games with periodic solutions. Second, and more important, the model is an example of a three-dimensional canonical system (one state, two costates) with a stable limit cycle as solution. As far as we see, our model provides up to now the simplest (i.e., lowest dimensional) case of a persistent periodic solution of an intertemporal decision problem. |
| 主题 | World Population (POP)
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| 关键词 | Differential games
Open-loop Nash solutions
Hopf bifurcations
Stable limit cycles
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| URL | http://pure.iiasa.ac.at/id/eprint/3862/
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| 来源智库 | International Institute for Applied Systems Analysis (Austria)
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| 引用统计 |
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| 资源类型 | 智库出版物
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| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/127253
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推荐引用方式
GB/T 7714 |
Feichtinger G,Novak A. Differential game model of the dynastic cycle: 3D-canonical system with a stable limit cycle.. 1994.
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