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A novel mathematical framework is proposed to describe the ecological and evolutionary consequences of consumer--resource interactions. Both the consumer and resource are assumed to consist of several (sub)species, which interact between…

Populations and Evolution · Quantitative Biology 2025-11-11 Alexander S. Bratus , Sergei V. Drozhzhin , Artem S. Novozhilov

The resource quality and the temporal generation pattern of variable renewable energy sources vary significantly across Europe. In this paper spatial distributions of renewable assets are explored which exploit this heterogeneity to lower…

Physics and Society · Physics 2017-06-05 Emil H. Eriksen , Leon J. Schwenk-Nebbe , Bo Tranberg , Tom Brown , Martin Greiner

In electricity systems supplied by renewable energy sources (RES), storage operators shift energy across time, helping maintain system adequacy. However, characterizing their strategic role and identifying the conditions under which…

General Economics · Economics 2025-11-18 Arega Getaneh Abate , Dogan Keles , Salim Hassi , Xiufeng Liu , Xiao-Bing Zhang

How does dynamic price information flow among Northern European electricity spot prices and prices of major electricity generation fuel sources? We use time series models combined with new advances in causal inference to answer these…

Applications · Statistics 2011-10-26 Egil Ferkingstad , Anders Løland , Mathilde Wilhelmsen

We explore the nonlinear dynamics of a macroeconomic model with resource constraints. The dynamics is derived from a production function that considers capital and a generalized form of energy as inputs. Energy, the new variable, is…

Theoretical Economics · Economics 2024-08-30 Frank Schweitzer , Giona Casiraghi

Given an endogenous timescale set by invasion in a constant environment, we introduced periodic temporal variation in competitive superiority by alternating the species' propagation rates. By manipulating habitat size and introduction rate,…

Populations and Evolution · Quantitative Biology 2011-05-10 Lauren O'Malley , G. Korniss , Sai Satya Praveen Mungara , Thomas Caraco

We revisit the classic Cournot model and extend it to a two-echelon supply chain with an upstream supplier who operates under demand uncertainty and multiple downstream retailers who compete over quantity. The supplier's belief about retail…

Computer Science and Game Theory · Computer Science 2021-07-19 Constandina Koki , Stefanos Leonardos , Costis Melolidakis

We study the effects of endogenous cost formation in the classic Cournot oligopoly through an extended two-stage game. The competing Cournot firms produce low-cost but limited quantities of a single homogeneous product. For additional…

Optimization and Control · Mathematics 2021-07-19 Stefanos Leonardos , Costis Melolidakis

Wind and solar power are known to be highly influenced by weather events and may ramp up or down abruptly. Such events in the power production influence not only the availability of energy, but also the stability of the entire power grid.…

Data Analysis, Statistics and Probability · Physics 2016-07-20 M. Anvari , G. Lohmann , M. Wächter , P. Milan , E. Lorenz , D. Heinemann , M. Reza Rahimi Tabar , Joachim Peinke

Motivated by various random variations of Hegselmann-Krause model for opinion dynamics and gossip algorithm in an endogenously changing environment, we propose a general framework for the study of endogenously varying random averaging…

Optimization and Control · Mathematics 2014-01-15 Behrouz Touri , Cedric Langbort

We develop a general equilibrium model in which, at each instant, a short-run competitive equilibrium arises. Heterogeneity in factor allocation generates differential profit rates across sectors, prompting firms to move between them under…

Theoretical Economics · Economics 2025-08-21 Giorgio Fabbri , Davide Fiaschi , Cristiano Ricci

We study optimal and strategic extraction of a renewable resource that is distributed over a network, migrates mass-conservatively across nodes, and evolves under nonlinear (concave) growth. A subset of nodes hosts extractors while the…

Optimization and Control · Mathematics 2025-10-30 Filippo de Feo , Giorgio Fabbri , Silvia Faggian , Giuseppe Freni

This paper is concerned with the determination of pricing strategies for a firm that in each period of a finite horizon receives replenishment quantities of a single product which it sells in two markets, e.g., a long-distance market and an…

Optimization and Control · Mathematics 2015-09-25 Wen , Chen , Adam Fleischhacker , Michael N. Katehakis

We consider the resource allocation problem and its numerical solution. The following constructions are demonstrated: 1) Walrasian price-adjustment mechanism for determining the equilibrium; 2) Decentralized role of the prices; 3) Slater's…

Optimization and Control · Mathematics 2020-03-27 Anastasiya Ivanova , Alexander Gasnikov , Evgeni Nurminski , Evgeniya Vorontsova

In this paper, we consider contextual stochastic optimization problems under endogenous uncertainty, where decisions affect the underlying distributions. To implement such decisions in practice, it is crucial to ensure that their outcomes…

Optimization and Control · Mathematics 2025-10-16 Jasone Ramírez-Ayerbe , Emma Frejinger

Proceeding from the concept of rational expectations, a new dynamic model of supply and demand in a single market with one supplier, one buyer, and one kind of commodity is developed. Unlike the cob-web dynamic theories with adaptive…

General Physics · Physics 2007-05-23 V. Granik , A. Granik

This paper presents an analysis of competition between generators when incentive-based demand response is employed in an electricity market. Thermal and hydropower generation are considered in the model. A smooth inverse demand function is…

Computer Science and Game Theory · Computer Science 2018-02-23 José Vuelvas , Fredy Ruiz

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 paper investigations by the same authors on environmental issues concerning the control of the pollution produced by human activities have been extended to include costs related to environmental interventions. The proposed model…

Numerical Analysis · Mathematics 2025-11-03 Sebastian Anita , Vincenzo Capasso , Simone Scacchi

High shares of variable renewable energy necessitate substantial energy storage capacity. However, it remains unclear how to design a market that, on the one hand, ensures a stable and sufficient income for storage firms, and, on the other…

Systems and Control · Electrical Eng. & Systems 2024-02-06 Aviad Navon , Juri Belikov , Ariel Orda , Yoash Levron