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In this paper, we consider a stochastic recursive optimal control problem under model uncertainty. In this framework, the cost function is described by solutions of a family of backward stochastic differential equations. With the help of…

Probability · Mathematics 2020-04-16 Mingshang Hu , Falei Wang

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

This research considers the ranking and selection with input uncertainty. The objective is to maximize the posterior probability of correctly selecting the best alternative under a fixed simulation budget, where each alternative is measured…

Optimization and Control · Mathematics 2023-05-15 Hui Xiao , Zhihong Wei

A two-stage multi-period mixed-integer linear stochastic programming model is proposed to assist qualified operators in long-term generation and transmission expansion planning of electricity and gas systems to meet policy objectives. The…

Optimization and Control · Mathematics 2025-05-22 Giovanni Micheli , Maria Teresa Vespucci , Alessia Cortazzi , Cinzia Puglisi

In electricity markets with a dual-pricing scheme for balancing energy, controllable production units typically participate in the balancing market as "active" actors by offering regulating energy to the system, while renewable stochastic…

Optimization and Control · Mathematics 2018-12-20 Nicolò Mazzi , Alessio Trivella , Juan M. Morales

This paper studies a model for the optimal control (by a centralized economic agent which we call the planner) of pollution diffusion over time and space. The controls are the investments in production and depollution and the goal is to…

Theoretical Economics · Economics 2026-01-09 Fausto Gozzi , Marta Leocata , Giulia Pucci

Economic model predictive control has been proposed as a means for solving the unit loading and unit allocation problem in multi-chiller cooling plants. The adjective economic stems from the use of financial cost due to electricity…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Manuel G. Satué , Manuel R. Arahal , Luis F. Acedo , Manuel G. Ortega

Efficiently accommodating uncertain renewable resources in wholesale electricity markets is among the foremost priorities of market regulators in the US, UK and EU nations. However, existing deterministic market designs fail to internalize…

Systems and Control · Electrical Eng. & Systems 2019-12-19 Yury Dvorkin

In this work we provide explicit conditions on the existence of optimal feedback controls for stochastic processes with regime-switching. We use the compactification method which needs less regularity conditions on the coefficients of the…

Optimization and Control · Mathematics 2020-01-14 Jinghai Shao

To decarbonize the economy, many governments have set targets for the use of renewable energy sources. These are often formulated as relative shares of electricity demand or supply. Implementing respective constraints in energy models is a…

General Economics · Economics 2024-11-05 Martin Kittel , Wolf-Peter Schill

This paper develops incentive mechanisms for promoting eco-driving with the overarching goal of minimizing emissions in transportation networks. The system operator provides drivers with energy-efficient driving guidance throughout their…

Computer Science and Game Theory · Computer Science 2025-10-15 M. Umar B. Niazi , Jung-Hoon Cho , Munther A. Dahleh , Roy Dong , Cathy Wu

We consider an economy made of competing firms which are heterogeneous in their capital and use several inputs for producing goods. Their consumption policy is fixed rationally by maximizing a utility and their capital cannot fall below a…

Analysis of PDEs · Mathematics 2022-07-13 Yves Achdou , Guillaume Carlier , Quentin Petit , Daniela Tonon

A smart grid connects wind or solar or storage farms, fossil fuel plants, industrialor commercial loads, or load serving entities, modeled as stochastic dynamical systems. In each time period, they consume or supply electrical energy, with…

Optimization and Control · Mathematics 2016-06-30 Rahul Singh , P. R. Kumar , Le Xie

We study the utility maximization problem for power utility random fields in a semimartingale financial market, with and without intermediate consumption. The notion of an opportunity process is introduced as a reduced form of the value…

Portfolio Management · Quantitative Finance 2010-11-03 Marcel Nutz

We investigate constrained optimal control problems for linear stochastic dynamical systems evolving in discrete time. We consider minimization of an expected value cost over a finite horizon. Hard constraints are introduced first, and then…

Optimization and Control · Mathematics 2011-07-07 Eugenio Cinquemani , Mayank Agarwal , Debasish Chatterjee , John Lygeros

We study the design of functional incentive mechanisms for dynamical systems, in which a leader designs a fixed incentive function to motivate a self-interested follower to actuate the system beneficially over an extended horizon, without…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Jonas G. Matt , Saverio Bolognani , Florian Dörfler

In a market system, regulations are designed to prevent or rectify market failures that inhibit fair exchange, such as monopoly or transactions with hidden costs. Because regulations reduce profits to those possessing unfair advantage,…

General Finance · Quantitative Finance 2013-10-02 Dominic K. Albino , Anzi Hu , Yaneer Bar-Yam

Due to the established energy production methods contribution to the climate crisis, renewable energy is to replace a substantial part of coal or nuclear plants to prevent greenhouse gases or toxic waste entering the atmosphere. This…

Other Computer Science · Computer Science 2022-04-05 Vincent Meilinger

Recent technology advances have enabled firms to flexibly process and analyze sophisticated employee performance data at a reduced and yet significant cost. We develop a theory of optimal incentive contracting where the monitoring…

Theoretical Economics · Economics 2019-11-22 Anqi Li , Ming Yang

In this paper we provide a complete theoretical analysis of a two-dimensional degenerate non convex singular stochastic control problem. The optimisation is motivated by a storage-consumption model in an electricity market, and features a…

Optimization and Control · Mathematics 2015-10-29 Tiziano De Angelis , Giorgio Ferrari , John Moriarty
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