Network-Based Optimal Control of Pollution Growth

Fuente: arXiv
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Main Authors: Gozzi, Fausto, Leocata, Marta, Pucci, Giulia
Format: Preprint
Published: 2024
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author Gozzi, Fausto
Leocata, Marta
Pucci, Giulia
author_facet Gozzi, Fausto
Leocata, Marta
Pucci, Giulia
contents This paper studies a model for the optimal control (by a centralized economic agent which we call the planner) of pollution diffusion over time and space. The controls are the investments in production and depollution and the goal is to maximize an intertemporal utility function. The main novelty is the fact that the spatial component has a network structure. Moreover, in such a time-space setting we also analyze the trade-off between the use of green or non-green technologies: this also seems to be a novelty in such a setting. Extending methods of previous papers, we can solve explicitly the problem in the case of linear costs of pollution.
format Preprint
id arxiv_https___arxiv_org_abs_2406_15338
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Network-Based Optimal Control of Pollution Growth
Gozzi, Fausto
Leocata, Marta
Pucci, Giulia
Theoretical Economics
Optimization and Control
This paper studies a model for the optimal control (by a centralized economic agent which we call the planner) of pollution diffusion over time and space. The controls are the investments in production and depollution and the goal is to maximize an intertemporal utility function. The main novelty is the fact that the spatial component has a network structure. Moreover, in such a time-space setting we also analyze the trade-off between the use of green or non-green technologies: this also seems to be a novelty in such a setting. Extending methods of previous papers, we can solve explicitly the problem in the case of linear costs of pollution.
title Network-Based Optimal Control of Pollution Growth
topic Theoretical Economics
Optimization and Control
url https://arxiv.org/abs/2406.15338