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The "Eating up Assumption", Transversality Conditions, and Steady States for Discrete Time Infinite Horizon Problems

2013/10/04 by Dapeng Cai, Cai, Dapeng, Takashi Nitta +1
Computer Science · Economics, Econometrics and Finance · Engineering · #Economic theories and models #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Spacecraft Dynamics and Control

paper · pdf · doi:10.48550/arxiv.1310.1180

openalex publication_date 2013/10/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider how to construct the optimal solutions for a general discrete time infinite horizon optimal control problem. We establish necessary and sufficient conditions for optimality in the sense of a modified optimality criterion. We also consider how transversality conditions are related to steady states. The results are applied to two examples to demonstrate how the new transversality conditions derived in this paper differ from those given in the previous literature.

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