Nonlinear semigroups and infinite horizon optimization

Solvability in infinite horizon optimization

Operations Research Letters ◽

10.1016/j.orl.2015.07.003 ◽

2015 ◽

Vol 43 (5) ◽

pp. 498-503 ◽

Cited By ~ 1

Author(s):

Timothy D. Lortz ◽

Irina S. Dolinskaya ◽

Archis Ghate ◽

Robert L. Smith

Keyword(s):

Infinite Horizon ◽

Infinite Horizon Optimization

Limit of the solutions for the finite horizon problems as the optimal solution to the infinite horizon optimization problems

The Journal of Difference Equations and Applications ◽

10.1080/10236190902953763 ◽

2011 ◽

Vol 17 (3) ◽

pp. 359-373 ◽

Cited By ~ 2

Author(s):

Dapeng Cai ◽

Takashi Gyoshin Nitta

Keyword(s):

Optimization Problems ◽

Infinite Horizon ◽

Optimal Solution ◽

Finite Horizon ◽

Infinite Horizon Optimization ◽

Horizon Problems

Value and Policy Function Approximations in Infinite-Horizon Optimization Problems

Journal of Dynamical Systems and Geometric Theories ◽

10.1080/1726037x.2008.10698552 ◽

2008 ◽

Vol 6 (2) ◽

pp. 123-147 ◽

Cited By ~ 1

Author(s):

Giorgio Gnecco ◽

Marcello Sanguineti

Keyword(s):

Optimization Problems ◽

Infinite Horizon ◽

Infinite Horizon Optimization ◽

Function Approximations ◽

Policy Function

Infinite horizon optimization for finite state Markov chain

10.1109/cdc.1987.272947 ◽

1987 ◽

Author(s):

Arie Leizarowitz

Keyword(s):

Markov Chain ◽

Infinite Horizon ◽

Infinite Horizon Optimization ◽

Finite State

Discrete-Time Finite Horizon Approximation of Infinite Horizon Optimization Problems with Steady-State Invariance

Econometrica ◽

10.2307/2951661 ◽

1994 ◽

Vol 62 (3) ◽

pp. 635 ◽

Cited By ~ 43

Author(s):

Jean Mercenier ◽

Philippe Michel

Keyword(s):

Steady State ◽

Discrete Time ◽

Optimization Problems ◽

Infinite Horizon ◽

Finite Horizon ◽

Infinite Horizon Optimization

Existence of efficient solutions in infinite horizon optimization under continuous and discrete controls

Operations Research Letters ◽

10.1016/j.orl.2004.04.005 ◽

2005 ◽

Vol 33 (1) ◽

pp. 97-104 ◽

Cited By ~ 2

Author(s):

Irwin E. Schochetman ◽

Robert L. Smith

Keyword(s):

Infinite Horizon ◽

Efficient Solutions ◽

Infinite Horizon Optimization

A Tie-Breaking Rule for Discrete Infinite Horizon Optimization

Operations Research ◽

10.1287/opre.40.1.s117 ◽

1992 ◽

Vol 40 (1-supplement-1) ◽

pp. S117-S126 ◽

Cited By ~ 14

Author(s):

Sarah M. Ryan ◽

James C. Bean ◽

Robert L. Smith

Keyword(s):

Infinite Horizon ◽

Infinite Horizon Optimization

Existence and Discovery of Average Optimal Solutions in Deterministic Infinite Horizon Optimization

Mathematics of Operations Research ◽

10.1287/moor.23.2.416 ◽

1998 ◽

Vol 23 (2) ◽

pp. 416-432 ◽

Cited By ~ 7

Author(s):

Irwin E. Schochetman ◽

Robert L. Smith

Keyword(s):

Infinite Horizon ◽

Optimal Solutions ◽

Infinite Horizon Optimization

A generalization of Fatou’s lemma for extended real-valued functions on σ-finite measure spaces: with an application to infinite-horizon optimization in discrete time

Journal of Inequalities and Applications ◽

10.1186/s13660-016-1288-5 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 3

Author(s):

Takashi Kamihigashi

Keyword(s):

Discrete Time ◽

Infinite Horizon ◽

Finite Measure ◽

Infinite Horizon Optimization ◽

Measure Spaces ◽

Fatou’S Lemma ◽

Fatou's Lemma

NECESSARY AND SUFFICIENT CONDITIONS FOR DYNAMIC OPTIMIZATION

Macroeconomic Dynamics ◽

10.1017/s1365100514000546 ◽

2014 ◽

Vol 20 (3) ◽

pp. 667-684 ◽

Cited By ~ 2

Author(s):

A. Kerem Coşar ◽

Edward J. Green

Keyword(s):

Optimization Problems ◽

Infinite Horizon ◽

Sufficient Conditions ◽

Transversality Condition ◽

Necessary And Sufficient Conditions ◽

Infinite Horizon Optimization ◽

Sufficient Conditions For Optimality ◽

The Government ◽

Duality Approach ◽

Necessary And Sufficient

We characterize the necessary and sufficient conditions for optimality in discrete-time, infinite-horizon optimization problems with a state space of finite or infinite dimension. It is well known that the challenging task in this problem is to prove the necessity of the transversality condition. To do this, we follow a duality approach in an abstract linear space. Our proof resembles that of Kamihigashi (2003), but does not explicitly use results from real analysis. As an application, we formalize Sims's argument that the no-Ponzi constraint on the government budget follows from the necessity of the tranversality condition for optimal consumption.