Anticipation echoes in vintage capital models

نویسندگان

  • Natali Hritonenko
  • Yuri Yatsenko
چکیده

The paper analyzes the structure of optimal trajectories in the one-sector vintage capital model that optimizes the endogenous lifetime of age-structured capital under technological change. A new repetition pattern (anticipation echoes) is demonstrated in both optimal investment and optimal capital lifetime in the case of finite-horizon optimization. The anticipation echoes are caused by expectation of the future “no-investment” policy at the end of the planning horizon. It is shown that the anticipation echoes represent a general structural property of dynamic systems with endogenous delay. Mathematically, the problem under study is the optimal control of non-linear integral equations with unknowns in the integration limits. c © 2007 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Mathematical and Computer Modelling

دوره 48  شماره 

صفحات  -

تاریخ انتشار 2008