Optimal control in linear-quadratic stochastic advertising models with memory
Author
Abstract
Suggested Citation
DOI: 10.1007/s10203-023-00409-x
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- F. Gozzi & C. Marinelli & S. Savin, 2009. "On Controlled Linear Diffusions with Delay in a Model of Optimal Advertising under Uncertainty with Memory Effects," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 291-321, August.
- Christa Cuchiero & Josef Teichmann, 2019. "Markovian lifts of positive semidefinite affine Volterra-type processes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(2), pages 407-448, December.
- Fabbri Giorgio, 2017. "Stochastic optimal control in infinite dimension with non-regular value function via dynamic programming," Post-Print hal-02095008, HAL.
- Christa Cuchiero & Josef Teichmann, 2019. "Markovian lifts of positive semidefinite affine Volterra type processes," Papers 1907.01917, arXiv.org, revised Sep 2019.
- Nacira Agram & Bernt Øksendal, 2015. "Malliavin Calculus and Optimal Control of Stochastic Volterra Equations," Journal of Optimization Theory and Applications, Springer, vol. 167(3), pages 1070-1094, December.
- Yong, Jiongmin, 2006. "Backward stochastic Volterra integral equations and some related problems," Stochastic Processes and their Applications, Elsevier, vol. 116(5), pages 779-795, May.
- Giorgio Fabbri & Francesco Russo, 2017.
"HJB equations in infinite dimension and optimal control of stochastic evolution equations via generalized Fukushima decomposition,"
LIDAM Discussion Papers IRES
2017003, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Fabbri, G. & Russo, F., 2017. "HJB equations in infinite dimension and optimal control of stochastic evolution equations via generalized Fukushima decomposition," Working Papers 2017-07, Grenoble Applied Economics Laboratory (GAEL).
- Giorgio Fabbri & Francesco Russo, 2017. "HJB Equations in Infinite Dimension and Optimal Control of Stochastic Evolution Equations via Generalized Fukushima Decomposition," AMSE Working Papers 1704, Aix-Marseille School of Economics, France.
- Ram C. Rao, 1986. "Estimating Continuous Time Advertising-Sales Models," Marketing Science, INFORMS, vol. 5(2), pages 125-142.
- Gustav Feichtinger & Richard F. Hartl & Suresh P. Sethi, 1994. "Dynamic Optimal Control Models in Advertising: Recent Developments," Management Science, INFORMS, vol. 40(2), pages 195-226, February.
- Giorgio Fabbri & Fausto Gozzi & Andrzej Swiech, 2017. "Stochastic Optimal Control in Infinite Dimensions - Dynamic Programming and HJB Equations," Post-Print hal-01505767, HAL.
- Robert P. Leone, 1995. "Generalizing What Is Known About Temporal Aggregation and Advertising Carryover," Marketing Science, INFORMS, vol. 14(3_supplem), pages 141-150.
- Azmoodeh, Ehsan & Sottinen, Tommi & Viitasaari, Lauri & Yazigi, Adil, 2014. "Necessary and sufficient conditions for Hölder continuity of Gaussian processes," Statistics & Probability Letters, Elsevier, vol. 94(C), pages 230-235.
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.- Fausto Gozzi & Federica Masiero & Mauro Rosestolato, 2024. "An optimal advertising model with carryover effect and mean field terms," Mathematics and Financial Economics, Springer, volume 18, number 9, February.
- Huang, Jian & Leng, Mingming & Liang, Liping, 2012. "Recent developments in dynamic advertising research," European Journal of Operational Research, Elsevier, vol. 220(3), pages 591-609.
- Eduardo Abi Jaber, 2022. "The characteristic function of Gaussian stochastic volatility models: an analytic expression," Working Papers hal-02946146, HAL.
- Elisa Alòs & Maria Elvira Mancino & Tai-Ho Wang, 2019. "Volatility and volatility-linked derivatives: estimation, modeling, and pricing," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(2), pages 321-349, December.
- Eduardo Abi Jaber, 2022. "The characteristic function of Gaussian stochastic volatility models: an analytic expression," Finance and Stochastics, Springer, vol. 26(4), pages 733-769, October.
- Prasad A. Naik & Murali K. Mantrala & Alan G. Sawyer, 1998. "Planning Media Schedules in the Presence of Dynamic Advertising Quality," Marketing Science, INFORMS, vol. 17(3), pages 214-235.
- Chan, Tat Y. & Narasimhan, Chakravarthi & Yoon, Yeujun, 2017. "Advertising and price competition in a manufacturer-retailer channel," International Journal of Research in Marketing, Elsevier, vol. 34(3), pages 694-716.
- Eduardo Abi Jaber, 2020. "The Laplace transform of the integrated Volterra Wishart process," Working Papers hal-02367200, HAL.
- M'ed'eric Motte & Huy^en Pham, 2021. "Optimal bidding strategies for digital advertising," Papers 2111.08311, arXiv.org.
- Olivier Rubel & Prasad A. Naik & Shuba Srinivasan, 2011. "Optimal Advertising When Envisioning a Product-Harm Crisis," Marketing Science, INFORMS, vol. 30(6), pages 1048-1065, November.
- F. Gozzi & C. Marinelli & S. Savin, 2009. "On Controlled Linear Diffusions with Delay in a Model of Optimal Advertising under Uncertainty with Memory Effects," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 291-321, August.
- Christa Cuchiero & Sara Svaluto-Ferro, 2021. "Infinite-dimensional polynomial processes," Finance and Stochastics, Springer, vol. 25(2), pages 383-426, April.
- Christa Cuchiero & Sara Svaluto-Ferro, 2019. "Infinite dimensional polynomial processes," Papers 1911.02614, arXiv.org.
- Eduardo Abi Jaber, 2019. "The Laplace transform of the integrated Volterra Wishart process," Papers 1911.07719, arXiv.org, revised Jul 2024.
- Fabbri Giorgio & Federico Salvatore, 2014.
"On the Infinite-Dimensional Representation of Stochastic Controlled Systems with Delayed Control in the Diffusion Term,"
Mathematical Economics Letters, De Gruyter, vol. 2(3-4), pages 33-43, November.
- Giorgio Fabbri & Salvatore Federico, 2014. "On the infinite-dimensional representation of stochastic controlled systems with delayed control in the diffusion term," Post-Print hal-01038088, HAL.
- Giorgio Fabbri & Salvatore Federico, 2014. "On the infinite-dimensional representation of stochastic controlled systems with delayed control in the diffusion term," Documents de recherche 14-06, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
- Frédéric Zumer & Jacques Le Cacheux & Marc Flandreau, 1998.
"Stability without a pact? Lessons from the European Gold Standard, 1880-1913,"
Sciences Po publications
n°98-01, Sciences Po.
- Giorgio Fabbri & Salvatore Federico, 2014. "On the infinite-dimensional representation of stochastic controlled systems with delayed control in the diffusion term," Working Papers hal-01038088, HAL.
- Kiygi Calli, M. & Weverbergh, M. & Franses, Ph.H.B.F., 2010. "To Aggregate or Not to Aggregate: Should decisions and models have the same frequency?," ERIM Report Series Research in Management ERS-2010-046-MKT, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
- Fabbri, Giorgio, 2017.
"International borrowing without commitment and informational lags: Choice under uncertainty,"
Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 103-114.
- Giorgio Fabbri, 2014. "International Borrowing without Commitment and Informational Lags: Choice under Uncertainty," Documents de recherche 14-10, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
- Giorgio Fabbri, 2015. "International Borrowing Without Commitment and Informational Lags: Choice under Uncertainty," AMSE Working Papers 1534, Aix-Marseille School of Economics, France.
- Giorgio Fabbri, 2017. "International borrowing without commitment and informational lags: Choice under uncertainty," Post-Print hal-01505771, HAL.
- Giorgio Fabbri, 2015. "International Borrowing Without Commitment and Informational Lags: Choice under Uncertainty," Working Papers halshs-01191796, HAL.
- Eduardo Abi Jaber, 2022. "The Laplace transform of the integrated Volterra Wishart process," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-02367200, HAL.
- Christa Cuchiero & Philipp Schmocker & Josef Teichmann, 2023. "Global universal approximation of functional input maps on weighted spaces," Papers 2306.03303, arXiv.org, revised Feb 2024.
More about this item
Keywords
Dynamic programming; Volterra Ornstein-Uhlenbeck process; Infinite-dimensional Bellman equations; Optimal advertising;All these keywords.
Statistics
Access and download statisticsCorrections
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:spr:decfin:v:47:y:2024:i:1:d:10.1007_s10203-023-00409-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.