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On the solution of the variational optimisation in the rational inattention framework

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  • Nigar Hashimzade

Abstract

I analyse the solution method for the variational optimisation problem in the rational inattention framework proposed by Christopher A. Sims. The solution, in general, does not exist, although it may exist in exceptional cases. I show that the solution does not exist for the quadratic and the logarithmic objective functions analysed by Sims (2003, 2006). For a linear-quadratic objective function a solution can be constructed under restrictions on all but one of its parameters. This approach is, therefore, unlikely to be applicable to a wider set of economic models.

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  • Nigar Hashimzade, 2018. "On the solution of the variational optimisation in the rational inattention framework," Papers 1802.09869, arXiv.org, revised Jul 2018.
    • Handle: RePEc:arx:papers:1802.09869
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    References listed on IDEAS

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    1. Sims, Christopher A., 2005. "Rational inattention: a research agenda," Discussion Paper Series 1: Economic Studies 2005,34, Deutsche Bundesbank.
    2. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    3. Christopher A. Sims, 2006. "Rational Inattention: Beyond the Linear-Quadratic Case," American Economic Review, American Economic Association, vol. 96(2), pages 158-163, May.
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