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Optimal information acquisition for a linear quadratic control problem

Author

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  • Lindset, Snorre
  • Lund, Arne-Christian
  • Matsen, Egil

Abstract

This paper develops a generalization of the linear quadratic control problem with partial information. As in the standard partial information setting, it is assumed that the state variable is only observed with noise. The idea in this paper is that the information level may be chosen optimally. In real life information is costly to acquire. It is therefore a trade off between the costs of getting detailed information and the increased value this information gives. We believe that the technique we present should have potential for application within both economics and engineering.

Suggested Citation

  • Lindset, Snorre & Lund, Arne-Christian & Matsen, Egil, 2009. "Optimal information acquisition for a linear quadratic control problem," European Journal of Operational Research, Elsevier, vol. 199(2), pages 435-441, December.
    • Handle: RePEc:eee:ejores:v:199:y:2009:i:2:p:435-441
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    References listed on IDEAS

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    1. Pautsch, Gregory R. & Babcock, Bruce A. & Breidt, F. Jay, 1999. "Optimal Information Acquisition Under A Geostatistical Model," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 24(2), pages 1-25, December.
    2. Kihlstrom, Richard E, 1974. "A Bayesian Model of Demand for Information About Product Quality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 99-118, February.
    3. Stephen M. Pollock, 1967. "Minimum-Cost Checking Using Imperfect Information," Management Science, INFORMS, vol. 13(7), pages 454-465, March.
    4. Giuseppe Moscarini & Lones Smith, 2002. "The Law of Large Demand for Information," Econometrica, Econometric Society, vol. 70(6), pages 2351-2366, November.
    5. Stephen M. Pollock, 1970. "A Simple Model of Search for a Moving Target," Operations Research, INFORMS, vol. 18(5), pages 883-903, October.
    6. James M. Dobbie, 1974. "A Two-Cell Model of Search for a Moving Target," Operations Research, INFORMS, vol. 22(1), pages 79-92, February.
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    Cited by:

    1. Yusheng Zhou & Zaihua Wang, 2014. "Optimal Feedback Control for Linear Systems with Input Delays Revisited," Journal of Optimization Theory and Applications, Springer, vol. 163(3), pages 989-1017, December.
    2. Weber, Thomas A. & Nguyen, Viet Anh, 2018. "A linear-quadratic Gaussian approach to dynamic information acquisition," European Journal of Operational Research, Elsevier, vol. 270(1), pages 260-281.

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