Optimal Consumption and Investment with Energy-Efficiency Adoption

Fuente: arXiv
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Main Authors: Britto, Anthony, Oliveira, Carlos, Kleinebrahm, Max
Format: Preprint
Published: 2026
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author Britto, Anthony
Oliveira, Carlos
Kleinebrahm, Max
author_facet Britto, Anthony
Oliveira, Carlos
Kleinebrahm, Max
contents Despite many decades of research, economically grounded models that analyse energy consumption and energy-efficiency adoption within a unified framework remain underdeveloped. This article addresses this gap by proposing a model of consumption, investment, and energy-efficiency adoption under uncertainty. It develops new definitions of the rebound and backfire effects, and integrates their welfare implications into a model of optimal subsidy design. Macro-level technology diffusion and energy consumption across heterogeneous agents are also formalised. Explicit results for core objects are derived, including the adoption threshold and post-adoption strategies, and these are shown to depend on agent wealth, introducing a novel channel through which financial conditions influence technology-adoption decisions. An approximation scheme is proposed to estimate welfare implications explicitly. Adoption of energy efficiency is shown to be welfare improving in the main. A detailed case study of a representative German single-family home illustrates the theoretical results. Numerical analysis indicates that the subsidy policy effectively steers aggregate energy consumption.
format Preprint
id arxiv_https___arxiv_org_abs_2604_28052
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Optimal Consumption and Investment with Energy-Efficiency Adoption
Britto, Anthony
Oliveira, Carlos
Kleinebrahm, Max
General Economics
Economics
Despite many decades of research, economically grounded models that analyse energy consumption and energy-efficiency adoption within a unified framework remain underdeveloped. This article addresses this gap by proposing a model of consumption, investment, and energy-efficiency adoption under uncertainty. It develops new definitions of the rebound and backfire effects, and integrates their welfare implications into a model of optimal subsidy design. Macro-level technology diffusion and energy consumption across heterogeneous agents are also formalised. Explicit results for core objects are derived, including the adoption threshold and post-adoption strategies, and these are shown to depend on agent wealth, introducing a novel channel through which financial conditions influence technology-adoption decisions. An approximation scheme is proposed to estimate welfare implications explicitly. Adoption of energy efficiency is shown to be welfare improving in the main. A detailed case study of a representative German single-family home illustrates the theoretical results. Numerical analysis indicates that the subsidy policy effectively steers aggregate energy consumption.
title Optimal Consumption and Investment with Energy-Efficiency Adoption
topic General Economics
Economics
url https://arxiv.org/abs/2604.28052