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We propose a simple model for genetic adaptation to a changing environment, describing a fitness landscape characterized by two maxima. One is associated with "specialist" individuals that are adapted to the environment; this maximum moves…

Populations and Evolution · Quantitative Biology 2013-04-24 Andrea Baronchelli , Nick Chater , Morten H. Christiansen , Romualdo Pastor-Satorras

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

Wonderland, a compact, integrated economic, demographic and environmental model is investigated using methods developed for studying critical phenomena. Simulation results show the parameter space separates into two phases, one of which…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 G. A. Kohring

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

We consider a diffusion approximation to an insurance risk model where an external driver models a stochastic environment. The insurer can buy reinsurance. Moreover, investment in a financial market is possible. The financial market is also…

Mathematical Finance · Quantitative Finance 2019-04-01 Matteo Brachetta , Hanspeter Schmidli

The management of irrigation water systems has become increasingly complex due to competing demands for agricultural production, groundwater sustainability, and environmental flow requirements, particularly under hydrologic variability and…

Optimization and Control · Mathematics 2026-01-28 Nahid Sultana , M M Rizvi , Indu Wadhawan

We study a model of a corporation which has the possibility to choose various production/business policies with different expected profits and risks. In the model there are restrictions on the dividend distribution rates as well as…

Probability · Mathematics 2008-12-10 Tahir Choulli , Michael Taksar , Xun Yu Zhou

We present an economics-based method for deciding the optimal rates at which vehicles are allowed to enter a highway. The method exploits the naturally occuring fluctuations of traffic flow and is flexible enough to adapt in real time to…

Statistical Mechanics · Physics 2007-05-23 Bernardo A. Huberman , Dirk Helbing

While wind and solar power contribute to sustainability, their intermittent nature poses challenges when integrated into the grid. To mitigate these issues, renewable energy can be combined with coal fired power and hydropower sources to…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Manling Hu , Manqi Xu , Dunnan Liu

We study the optimal sustainable harvesting of a population that lives in a random environment. The novelty of our setting is that we maximize the asymptotic harvesting yield, both in an expected value and almost sure sense, for a large…

Probability · Mathematics 2019-04-02 Luis H. R. Alvarez E. , Alexandru Hening

We examine the relationship among photovoltaic (PV) investments, energy production, and environmental impact using a dynamic optimization model. Our findings show that increasing investment in renewables supports both energy generation and…

General Economics · Economics 2025-03-11 L. Becchetti , N. Solferino , M. E. Tessitore

We propose a stylized model of a complex economy to explore the economic tradeoffs imposed by the so called "green transition" -- the shift towards more sustainable production paradigms -- using tools from the Statistical Mechanics of…

Physics and Society · Physics 2025-08-06 Filippo Marcuccini , Giacomo Livan

We consider the dividend maximization problem including a ruin penalty in a diffusion environment. The additional penalty term is motivated by a constraint on dividend strategies. Intentionally, we use different discount rates for the…

Optimization and Control · Mathematics 2022-04-20 Josef Anton Strini , Stefan Thonhauser

A growing number of applications involve settings where, in order to infer heterogeneous effects, a researcher compares various units. Examples of research designs include children moving between different neighborhoods, workers moving…

Econometrics · Economics 2024-04-03 Stephane Bonhomme , Angela Denis

Plant breeding and variety trials are usually conducted in multiple environments sampled from a defined target population of environments in order to characterize the performance of breeding lines or varieties. When the population is large…

Applications · Statistics 2026-05-01 Maryna Prus , Lenka Filová , Hans-Peter Piepho , Waqas Ahmed Malik

We consider a diffusive model for optimally distributing dividends, while allowing for Knightian model ambiguity concerning the drift of the surplus process. We show that the value function is the unique solution of a non-linear…

Optimization and Control · Mathematics 2021-09-21 Prakash Chakraborty , Asaf Cohen , Virginia R. Young

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

We analyze the household savings problem in a general setting where returns on assets, non-financial income and impatience are all state dependent and fluctuate over time. All three processes can be serially correlated and mutually…

Theoretical Economics · Economics 2020-08-07 Qingyin Ma , John Stachurski , Alexis Akira Toda

Energy system optimization models (ESOMs) are designed to examine the potential effects of a proposed policy, but often represent energy-efficient technologies and policies in an overly simplified way. Most ESOMs include different end-use…

Load shifting by commercial and industrial power consumers reduces costs and Scope 2 emissions for the consumer and the grid. Incentivizing this behavior requires tools for valuing flexibility amidst the heterogeneity in load…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Akshay K. Rao , Fletcher T. Chapin , Erin Musabandesu , Adhithyan Sakthivelu , Carson Tucker , Daly Wettermark , Meagan S. Mauter