Abstract
Radner’s solution of the static team decision problem is revisited. A careful and complete statement of the static decentralized optimization problem, also referred to as the team decision problem, is given. Decentralized optimization is considered in the framework of nonzero-sum game theory, and the impact of the partial information pattern on the structure of the optimal strategies is analyzed. The complete solution of the static decentralized multivariate Quadratic Gaussian (QG) optimization problem is obtained.
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Radner, R.: “Team Decision Problems”, Annals of Mathematical Statistics, Vol. 33, No. 3, September 1962, pp. 857–881.
H. S. Witsenhausen: “A Counterexample in Stochastic Optimal Control”, SIAM Journal of Control, Vol. 6, No 1, pp. 131–147, 1968.
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© 2013 Springer Science+Business Media New York
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Pachter, M., Pham, K. (2013). Static Teams and Stochastic Games. In: Sorokin, A., Pardalos, P. (eds) Dynamics of Information Systems: Algorithmic Approaches. Springer Proceedings in Mathematics & Statistics, vol 51. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7582-8_5
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DOI: https://doi.org/10.1007/978-1-4614-7582-8_5
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