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This paper proposes a methodology to solve generation expansion equilibrium problems by using a predictive model to represent the equilibrium in a simplified network constrained electricity market. The investment problem for each generation…

Systems and Control · Electrical Eng. & Systems 2024-07-03 Sourabh Dalvi , David Biagioni , Muhammad Bashar Anwar , Gord Stephen , Bethany Frew

In this paper, we consider the gradual-impulse control problem of continuous-time Markov decision processes, where the system performance is measured by the expectation of the exponential utility of the total cost. We prove, under very…

Optimization and Control · Mathematics 2023-11-16 Xin Guo , Aiko Kurushima , Alexey Piunovskiy , Yi Zhang

The premise of industrial symbiosis IS is that advancing a circular economy that reuses byproducts as inputs in production is valuable for the environment. We challenge this premise in a simple model. Ceteris paribus, IS is an…

Theoretical Economics · Economics 2024-11-14 Limor Hatsor , Artyom Jelnov

We discuss stochastic dynamics of populations of individuals playing games. Our models possess two evolutionarily stable strategies: an efficient one, where a population is in a state with the maximal payoff (fitness) and a risk-dominant…

Populations and Evolution · Quantitative Biology 2007-05-23 Jacek Miekisz

We construct Nash equilibria in feedback form for a class of two-person stochastic games of singular control with absorption, arising from a stylized model for corporate finance. More precisely, the paper focusses on a strategic dynamic…

Optimization and Control · Mathematics 2025-07-04 Tiziano De Angelis , Fabien Gensbittel , Stéphane Villeneuve

This paper considers a class of stochastic control problems with implicitly defined objective functions, which are the sources of time-inconsistency. We study the closed-loop equilibrium solutions in a general controlled diffusion…

Optimization and Control · Mathematics 2023-12-29 Zongxia Liang , Jianming Xia , Keyu Zhang

Optimal control of large particle systems with collective dynamics by few agents is a subject of high practical importance (e.g. in evacuation dynamics), but still limited mathematical basis. In particular the transition from discrete…

Optimization and Control · Mathematics 2016-10-06 Martin Burger , René Pinnau , Andreas Roth , Claudia Totzeck , Oliver Tse

Models of spatial firm competition assume that customers are distributed in space and transportation costs are associated with their purchases of products from a small number of firms that are also placed at definite locations. It has been…

Trading and Market Microstructure · Quantitative Finance 2017-02-22 Alan Roncoroni , Matus Medo

We consider the general problem of determining the steady state of stochastic nonequilibrium systems such as those that have been used to model (among other things) biological transport and traffic flow. We begin with a broad overview of…

Statistical Mechanics · Physics 2009-11-13 R. A. Blythe , M. R. Evans

The paper considers the optimal control problem of inventory of a discrete product in regeneration scheme with a Poisson flow of customer requirements. In the system deferred demand is allowed, the volume of which is limited by a given…

Optimization and Control · Mathematics 2020-01-31 P. V. Shnurkov , N. A. Vakhtanov

Predicting the occurrence, level and duration of high air pollution concentrations exceeding a given critical level enables researchers to study the health impact of road traffic on local air quality and to inform public policy action.…

Applications · Statistics 2017-05-30 János Gyarmati-Szabó , Leonid V. Bogachev , Haibo Chen

The new method is considered for identifying the perfect (optimal) scenario of climate engineering operations based on the optimal control theory. The application of this approach is demonstrated using zero-dimensional energy-balance…

Atmospheric and Oceanic Physics · Physics 2017-09-19 Sergei Soldatenko , Rafael Yusupov

The article constructs a game-theoretic model of preventive measures for the antagonistic game with nature, that is such a model in which two participants take part, one of which is a regulating body (government) that makes legislative…

Optimization and Control · Mathematics 2024-01-23 O. A. Malafeyev , M. A. Suvorov

We propose a new approach to utilities that is consistent with state-dependent utilities. In our model utilities reflect the level of consumption satisfaction of flows of cash in future times as they are valued when the economic agents are…

Probability · Mathematics 2008-12-10 Jaime A. Londoño

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior under heterogeneous spatial economic conditions is reviewed. A birth-death lattice gas model taking into account the influence of an economic…

Statistical Mechanics · Physics 2009-11-10 Marcel Ausloos , Paulette Clippe , Janusz Miśkiewicz , Andrzej Pekalski

Air pollution poses a serious threat to sustainable environmental conditions in the 21st century. Its importance in determining the health and living standards in urban settings is only expected to increase with time. Various factors…

Machine Learning · Computer Science 2022-06-16 Mayukh Bhattacharyya , Sayan Nag , Udita Ghosh

We consider a stochastic control problem where the set of strict (classical) controls is not necessarily convex and the the variable control has two components, the first being absolutely continuous and the second singular. The system is…

Probability · Mathematics 2008-12-20 Seid Bahlali

The objective of this paper is to give a rigorous analysis of a stochastic spatial model of producer-consumer systems that has been recently introduced by Kang and the author to understand the role of space in ecological communities in…

Probability · Mathematics 2013-01-03 Nicolas Lanchier

It is widely assumed that increases in economic productivity necessarily lead to economic growth. In this paper, it is shown that this is not always the case. An idealized model of an economy is presented in which a new technology allows…

General Economics · Economics 2024-11-26 Casey O. Barkan

Power system operators and electric utility companies often impose a coincident peak demand charge on customers when the aggregate system demand reaches its maximum. This charge incentivizes customers to strategically shift their peak usage…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Liudong Chen , Jay Sethuraman , Bolun Xu