Structural properties in the diffusion of the solar photovoltaic in Italy: individual people/householder vs firms

Franco Flandoli, Marta Leocata, Giulia Livieri, Silvia Morlacchi, Fausto Corvino and Alberto Pirni

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

Abstract: 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 Markov model of interacting particle systems. The second one, instead, is a MeanField 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.

Keywords: green energy transition; individual based modeling; Markov model; mean-field games; procrastination; solar photovoltaic (search for similar items in EconPapers)
JEL-codes: C1 (search for similar items in EconPapers)
Pages: 27 pages
Date: 2025-07-29
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Published in Decisions in Economics and Finance, 29, July, 2025. ISSN: 1593-8883

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