G2TT
来源类型Discussion paper
规范类型论文
来源IDDP141
DP141 How Should Control Theory be Used by a Time-Consistent Government?
Daniel Cohen; Philippe Michel
发表日期1986-12-01
出版年1986
语种英语
摘要It has been recognized that the optimal strategy of a government is generally time-inconsistent: optimality requires that the government take into account expectations effects in the formulation of its policy and to ignore these effects when applying the policy. In order to analyse the problem, we study different solutions to a simple one-dimensional linear quadratic game. The optimal but time-inconsistent solution appears to be paradoxical: in the long term, the government plays against its objective function, in order to induce the private sector to take early corrective measures. The time-consistent solution, by contrast, is defined as a solution to the Hamilton-Jacobi-Bellman equation, i.e. as a policy where the government has no-precommitment capability. We demonstrate that this solution can be obtained by imposing the assumption that the government does not take into account the private sector's first order conditions but instead takes as given an equilibrium feedback rule. This solution is compared to a policy where the government has an "instantaneous" precommitment, to a Cournot-Nash equilibrium and to an optimal policy rule. In each case, we show how control theory should or should not be applied to calculate the equilibrium.
主题International Macroeconomics
关键词Control theory Differential games Government policy Nash equilibrium Optimal control Time consistency
URLhttps://cepr.org/publications/dp141
来源智库Centre for Economic Policy Research (United Kingdom)
资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/529297
推荐引用方式
GB/T 7714
Daniel Cohen,Philippe Michel. DP141 How Should Control Theory be Used by a Time-Consistent Government?. 1986.
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