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Information Patterns in Discrete-Time Linear-Quadratic Dynamic Games

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Sensors: Theory, Algorithms, and Applications

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 61))

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Abstract

Information – who knows what, when – plays a critical role in game theory, and, in particular, in dynamic games. Thus, dynamic game theory is an ideal vehicle for exploring the interplay of dynamics and information. We confine our attention to discrete-time Linear-Quadratic Dynamic Games (LQDGs) which have the distinct advantage of readily being amenable to analysis without having to overcome conceptual and technical difficulties, closed-form results are possible, and one is in tune with modern digital signal processing techniques. In this chapter a hierarchy of discrete-time LQDGs are characterized by a sequence of information patterns which increase in complexity is analyzed and an insight into the Dynamics of Information Systems is obtained.

The views expressed in this chapter are those of the author and do not reflect the official policy or position of the United States Air Force, Department of Defense, or US Government.

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Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Air Force Institute of Technology, Wright-Patterson AFB, OH, 45433, USA

    Meir Pachter

  2. Air Force Research Laboratory, Space Vehicles Directorate, Kirtland AFB, NM, 87117, USA

    Khanh D. Pham

Authors
  1. Meir Pachter
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  2. Khanh D. Pham
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Corresponding author

Correspondence to Meir Pachter .

Editor information

Editors and Affiliations

  1. Department of Industrial and Systems Eng, University of Florida, Weil Hall 303, Gainesville, 32611, Florida, 32611, USA

    Vladimir L. L. Boginski

  2. Munitions Directorate, Air Force Research Laboratory, Eglin Air Force Base, West Eglin Blvd 101, Eglin AFB, 32542, Florida, 32542, USA

    Clayton W. W. Commander

  3. Dept. Industrial & Systems, Engineering, University of Florida, Weil Hall 303, Gainesville, 32611-6595, Florida, 94305, USA

    Panos M. M. Pardalos

  4. School of Engineering, Department of Management Science and Eng, Stanford University, Via Ortega 475, Stanford, 94305, California, USA

    Yinyu Ye

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Pachter, M., Pham, K.D. (2012). Information Patterns in Discrete-Time Linear-Quadratic Dynamic Games. In: Boginski, V.L., Commander, C.W., Pardalos, P.M., Ye, Y. (eds) Sensors: Theory, Algorithms, and Applications. Springer Optimization and Its Applications(), vol 61. Springer, New York, NY. https://doi.org/10.1007/978-0-387-88619-0_5

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