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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2212.01329 |
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| _version_ | 1866916876154568704 |
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| author | Flandoli, Franco Corvino, Fausto Leocata, Marta Livieri, Giulia Morlacchi, Silvia Pirni, Alberto Eugenio Ermenegildo |
| author_facet | Flandoli, Franco Corvino, Fausto Leocata, Marta Livieri, Giulia Morlacchi, Silvia Pirni, Alberto Eugenio Ermenegildo |
| contents | This paper develops two mathematical models to understand subjects' behavior in response to the urgency of a change and inputs from governments e.g., (subsides) in the context of the diffusion of the solar photovoltaic in Italy. The first model is a Markovian model of interacting particle systems. The second one, instead, is a Mean Field Game model. In both cases, we derive the scaling limit deterministic dynamics, and we compare the latter to the Italian solar photovoltaic data. We identify periods where the first model describes the behavior of domestic data well and a period where the second model captures a particular feature of data corresponding to companies. The comprehensive analysis, integrated with a philosophical inquiry focusing on the conceptual vocabulary and correlative implications, leads to the formulation of hypotheses about the efficacy of different forms of governmental subsidies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_01329 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Structural properties in the diffusion of the solar photovoltaic in Italy: individual people/householder vs firms Flandoli, Franco Corvino, Fausto Leocata, Marta Livieri, Giulia Morlacchi, Silvia Pirni, Alberto Eugenio Ermenegildo Physics and Society Probability 60K35, 91A16, 60J27 This paper develops two mathematical models to understand subjects' behavior in response to the urgency of a change and inputs from governments e.g., (subsides) in the context of the diffusion of the solar photovoltaic in Italy. The first model is a Markovian model of interacting particle systems. The second one, instead, is a Mean Field Game model. In both cases, we derive the scaling limit deterministic dynamics, and we compare the latter to the Italian solar photovoltaic data. We identify periods where the first model describes the behavior of domestic data well and a period where the second model captures a particular feature of data corresponding to companies. The comprehensive analysis, integrated with a philosophical inquiry focusing on the conceptual vocabulary and correlative implications, leads to the formulation of hypotheses about the efficacy of different forms of governmental subsidies. |
| title | Structural properties in the diffusion of the solar photovoltaic in Italy: individual people/householder vs firms |
| topic | Physics and Society Probability 60K35, 91A16, 60J27 |
| url | https://arxiv.org/abs/2212.01329 |