IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1802.09869.html

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

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1802.09869
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lucidi, Francesco Simone & Semmler, Willi, 2023. "Long-run scarring effects of meltdowns in a small-scale nonlinear quadratic model," Journal of Macroeconomics, Elsevier, vol. 75(C).
    2. Altantsetseg Batchuluun & Yulei Luo & Eric R. Young, 2019. "Portfolio Choice with Information-Processing Limits," Annals of Economics and Finance, Society for AEF, vol. 20(1), pages 137-162, May.
    3. Ellis Scharfenaker, 2015. "A Quantal Response Model of Firm Competition," Working Papers 1507, New School for Social Research, Department of Economics.
    4. Atahan Afsar; José Elías Gallegos; Richard Jaimes; Edgar Silgado Gómez & Jos� El�as Gallegos & Richard Jaimes & Edgar Silgado G�mez, 2020. "Reconciling Empirics and Theory: The Behavioral Hybrid New Keynesian Model," Vniversitas Económica, Universidad Javeriana - Bogotá, vol. 0(0), pages 1-41.
    5. Lindbeck, Assar & Weibull, Jörgen, 2020. "Delegation of investment decisions, and optimal remuneration of agents," European Economic Review, Elsevier, vol. 129(C).
    6. Luigi Paciello & Mirko Wiederholt, 2014. "Exogenous Information, Endogenous Information, and Optimal Monetary Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(1), pages 356-388.
    7. Bartosz Maćkowiak & Filip Matějka & Mirko Wiederholt, 2023. "Rational Inattention: A Review," Journal of Economic Literature, American Economic Association, vol. 61(1), pages 226-273, March.
    8. Olafsson, Arna & Gathergood, John, 2020. "The Co-holding Puzzle: New Evidence from Transaction-Level Data," CEPR Discussion Papers 14799, C.E.P.R. Discussion Papers.
    9. Yochanan Shachmurove & Reuel Shinnar (Deceased), 2012. "Do Chemical Reactors Hold the Solution for Global Economic Crises?," PIER Working Paper Archive 12-010, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    10. Giovanni Angelini & Luca Fanelli, 2016. "Misspecification and Expectations Correction in New Keynesian DSGE Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 78(5), pages 623-649, October.
    11. Ellison, Martin & Macaulay, Alistair, 2021. "A rational inattention unemployment trap," Journal of Economic Dynamics and Control, Elsevier, vol. 131(C).
    12. Florian Gauer & Christoph Kuzmics, 2020. "Cognitive Empathy In Conflict Situations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(4), pages 1659-1678, November.
    13. Gabriele Galati & Peter Heemeijer & Richhild Moessner, 2011. "How do inflation expectations form? New insights from a high-frequency survey," BIS Working Papers 349, Bank for International Settlements.
    14. Stephanie L. Chan, 2021. "The Social Value of Public Information When Not Everyone is Privately Informed," Working Papers 2021-09-18, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    15. Andreas C Drichoutis & Rodolfo M Nayga, 2020. "Economic Rationality under Cognitive Load," The Economic Journal, Royal Economic Society, vol. 130(632), pages 2382-2409.
    16. Dasgupta, Kunal & Mondria, Jordi, 2018. "Inattentive importers," Journal of International Economics, Elsevier, vol. 112(C), pages 150-165.
    17. Pasten, Ernesto & Schoenle, Raphael, 2016. "Rational inattention, multi-product firms and the neutrality of money," Journal of Monetary Economics, Elsevier, vol. 80(C), pages 1-16.
    18. Ming-Che Hu & Alex YiHou Huang & Yanzhi Wang & Dan-Liou Yu, 2024. "Book-to-market effect and product life cycle," Review of Quantitative Finance and Accounting, Springer, vol. 63(2), pages 551-577, August.
    19. Macaulay, Alistair, 2021. "The attention trap: Rational inattention, inequality, and fiscal policy," European Economic Review, Elsevier, vol. 135(C).
    20. Fernando Alvarez & Luigi Guiso & Francesco Lippi, 2012. "Durable Consumption and Asset Management with Transaction and Observation Costs," American Economic Review, American Economic Association, vol. 102(5), pages 2272-2300, August.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1802.09869. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.