Time-Inconsistent Discrete-Time Stochastic Linear-Quadratic Optimal Control : Time-consistent Solutions

@inproceedings{Li2015TimeInconsistentDS,
  title={Time-Inconsistent Discrete-Time Stochastic Linear-Quadratic Optimal Control : Time-consistent Solutions},
  author={Xun Li and Yuan-Hua Ni and J. Zhang},
  year={2015}
}
In this paper, the time-consistent solutions of a timeinconsistent discrete-time stochastic linear-quadratic optimal control are investigated. Different from the existing literature, the definiteness constraint is not posed on the state and the control weight matrices of the cost functional. Necessary and sufficient conditions are, respectively, obtained to the existence of the open-loop time-consistent equilibrium control and the closedloop time-consistent equilibrium strategy, which contain… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 19 references

Deterministic time-inconsistent optimal control problems— an essentially cooperative approach

J. M. Yong
Acta Appl. Math. Sinica • 2012
View 4 Excerpts
Highly Influenced

Time-Inconsistent Stochastic Linear-Quadratic Control

SIAM J. Control and Optimization • 2012
View 4 Excerpts
Highly Influenced

A deterministic linear quadratic time-inconsitent optimal control problem

J. M. Yong
Mathematical Control and Related Rields • 2011
View 5 Excerpts
Highly Influenced

Time-inconsistent preferences in Adam Smith and Davis Hume

I. Palacios-Huerta
History of Political Economy • 2003
View 1 Excerpt

Sovability and asymptotic behavior of generalized Riccati equations arising in indefinite stochastic LQ controls

M. Ait Rami, J. B. Moore, X. Y Zhou
IEEE transations on Automatic Control • 2001
View 3 Excerpts

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