On the Existence of Markov-Consistent Plans under Production Uncertainty
研究偏好随时间变化的决策者如何选择一致计划,证明在有限期问题中引入平滑的生产不确定性后,马尔可夫一致计划总是存在。
Strotz (1956) and Pollak (1968) were among the first to study the behaviour of an economic agent whose preferences change over time. They suggested that such an agent would choose a "consistent plan" which they described as "the best plan that he would actually follow". A Markov-consistent plan has a particularly simple structure: current decisions are independent of past decisions, except insofar as past decisions affect the current values of state variables. Unfortunately, Markov-consistent plans do not generally exist. In this paper, we demonstrate that the existence problem dissappears for finite horizon problems when one introduces even a small amount of smooth uncertainty into production.