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We develop a continuous-time model of incentives for carbon emissive firms to exit the market based on a compensation payment identical to all firms. In our model, firms enjoy profits from production modeled as a simple geometric Brownian…

General Economics · Economics 2025-05-08 René Aïd , Xiangying Pang , Xiaolu Tan

Emissions markets play a vital role in emissions reduction by incentivizing firms to minimize costs. However, their effectiveness heavily depends on the decisions of policymakers, future economic activity, and the availability of abatement…

General Finance · Quantitative Finance 2025-10-16 Stéphane Crépey , Mekonnen Tadese , Gauthier Vermandel

There is much disagreement concerning how best to control global carbon emissions. We explore quantitatively how different control schemes affect the collective emission dynamics of a population of emitting entities. We uncover a complex…

Physics and Society · Physics 2011-07-12 Zhenyuan Zhao , Dan Fenn , Pak Ming Hui , Neil F. Johnson

We study the problem of a profit maximizing electricity producer who has to pay carbon taxes and who decides on investments into technologies for the abatement of carbon emissions in an environment where carbon tax policy is random and…

Optimization and Control · Mathematics 2024-06-04 Katia Colaneri , Rüdiger Frey , Verena Köck

This paper explores stochastic control models in the context of decarbonization within the energy market. We study three progressively complex scenarios: (1) a single firm operating with two technologies-one polluting and one clean,(2)two…

General Finance · Quantitative Finance 2025-06-18 Benhao Du , Thomas Treillard , Francois Wang

The aim of this paper is to address the effect of the carbon emission allowance market on the production policy of a large polluter production firm. We investigate this effect in two cases; when the large polluter cannot affect the risk…

Optimization and Control · Mathematics 2023-12-07 Arash Fahim , Nizar Touzi

Governments are motivated to subsidize profit-driven firms that manufacture zero-emission vehicles to ensure they become price-competitive. This paper introduces a dynamic Stackelberg game to determine the government's optimal subsidy…

Optimization and Control · Mathematics 2025-10-21 Utsav Sadana , Georges Zaccour

We provide a theoretical framework to examine how carbon pricing policies influence inflation and to estimate the policy-driven impact on goods prices from achieving net-zero emissions. Firms control emissions by adjusting production,…

General Economics · Economics 2025-01-29 René Aïd , Maria Arduca , Sara Biagini , Luca Taschini

In this paper, I consider a simple heterogeneous agents model of a production economy with uncertain climate change and examine constrained efficient carbon taxation. If there are frictionless, complete financial markets, the simple model…

General Economics · Economics 2022-10-18 Felix Kübler

We consider the problem of stochastic optimal control, where the state-feedback control policies take the form of a probability distribution and where a penalty on the entropy is added. By viewing the cost function as a Kullback- Leibler…

Optimization and Control · Mathematics 2024-12-12 Marc Lambert , Francis Bach , Silvère Bonnabel

In this paper, we consider a company can simultaneously reduce its emissions and buy carbon allowances at any time. We establish an optimal control model involving two stochastic processes with two control variables, which is a singular…

Optimization and Control · Mathematics 2024-07-12 Xinfu Chen , Yuchao Dong , Wenlin Huang , Jin Liang

We propose a novel approach to modeling advertising dynamics for a firm operating over distributed market domain based on controlled partial differential equations of diffusion type. Using our model, we consider a general type of…

Optimization and Control · Mathematics 2007-05-23 Carlo Marinelli , Sergei Savin

Wholesale price contracts are known to be associated with double marginalization effects, which prevents supply chains from achieving their true market share. In a dynamic setting under information asymmetry, these inefficiencies manifest…

Optimization and Control · Mathematics 2025-05-13 Madhu Dhiman , Atul Maurya , Veeraruna Kavitha , Priyank Sinha

We develop a financial market model in which a large population of firms chooses dynamic emission strategies under climate transition risk, interacting with both environmentally concerned and neutral investors. Firms face a trade-off…

Mathematical Finance · Quantitative Finance 2026-02-24 Pierre Lavigne , Peter Tankov

Greenhouse gas emissions from the residential sector represent a significant fraction of global emissions. Governments and utilities have designed incentives to stimulate the adoption of decarbonization technologies such as rooftop PV and…

Computers and Society · Computer Science 2025-02-14 Anupama Sitaraman , Adam Lechowicz , Noman Bashir , Xutong Liu , Mohammad Hajiesmaili , Prashant Shenoy

Achieving net-zero carbon emissions requires a transformation of energy systems, industrial processes, and consumption patterns. In particular, a transition towards that goal involves a gradual reduction of excess carbon emissions that are…

Optimization and Control · Mathematics 2026-01-19 Hansjoerg Albrecher , Nora Muler

We consider a general class of dynamic resource allocation problems within a stochastic optimal control framework. This class of problems arises in a wide variety of applications, each of which intrinsically involves resources of different…

Optimization and Control · Mathematics 2018-01-08 Xuefeng Gao , Yingdong Lu , Mayank Sharma , Mark S. Squillante , Joost W. Bosman

The problem of dynamic pricing of electricity in a retail market is considered. A Stackelberg game is used to model interactions between a retailer and its customers; the retailer sets the day-ahead hourly price of electricity and consumers…

Optimization and Control · Mathematics 2016-03-01 Liyan Jia , Lang Tong

We develop a model based on mean-field games of competitive firms producing similar goods according to a standard AK model with a depreciation rate of capital generating pollution as a byproduct. Our analysis focuses on the widely-used…

Mathematical Finance · Quantitative Finance 2024-07-18 Gianmarco Del Sarto , Marta Leocata , Giulia Livieri

The most serious threat to ecosystems is the global climate change fueled by the uncontrolled increase in carbon emissions. In this project, we use mean field control and mean field game models to analyze and inform the decisions of…

Optimization and Control · Mathematics 2021-07-06 Rene Carmona , Gokce Dayanikli , Mathieu Lauriere
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