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- W4367000483 abstract "The Bass diffusion equation is a well-known and established modeling approach for describing new product adoption in a competitive market. This model also describes diffusion phenomena in various contexts: infectious disease spread modeling and estimation, rumor spread on social networks, prediction of renewable energy technology markets, among others. Most of these models, however, consider a deterministic trajectory of the associated state variable (e.g., market-share). In reality, the diffusion process is subject to noise, and a stochastic component must be added to the state dynamics. The stochastic Bass model has also been studied in many areas, such as energy markets and marketing. Exploring the stochastic version of the Bass diffusion model, we propose in this work an approximation of (stochastic) optimal control surfaces for a continuous-time problem arising from a $2times2$ skew symmetric evolutionary game, providing the stochastic counter-part of the Fourier-based optimal control approximation already existent in the literature." @default.
- W4367000483 created "2023-04-27" @default.
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- W4367000483 date "2023-04-24" @default.
- W4367000483 modified "2023-10-01" @default.
- W4367000483 title "Approximation of Optimal Control Surfaces for the Bass Model with Stochastic Dynamics" @default.
- W4367000483 doi "https://doi.org/10.48550/arxiv.2304.12265" @default.
- W4367000483 hasPublicationYear "2023" @default.
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