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In electricity markets, customers are increasingly constrained by their budgets. A budget constraint for a user is an upper bound on the price multiplied by the quantity. However, since prices are determined by the market equilibrium, the…

Computer Science and Game Theory · Computer Science 2026-03-24 Lila Perkins , Baosen Zhang

We consider the dynamics of a smart grid system characterized by widespread distributed generation and storage devices. We assume that agents are free to trade electric energy over the network and we focus on the emerging market dynamics.…

Pattern Formation and Solitons · Physics 2013-09-13 F. Sorrentino , D. Tolic , R. Fierro , J. R. Gordon , A. Mammoli

An economy-wide production network, manifested through monetary input-output coefficients, inherently destabilizes during the general equilibrium propagation of sectoral productivity shocks when substitution elasticities are non-neutral.…

Theoretical Economics · Economics 2025-12-29 Satoshi Nakano , Kazuhiko Nishimura

We address how the interplay between the finite availability and carrying capacity of particles at different parts of a spatially extended system can control the steady state currents and density profiles in the one-dimensional…

Statistical Mechanics · Physics 2024-08-05 Astik Haldar , Parna Roy , Erwin Frey , Abhik Basu

Dynamic pricing models often posit that a $\textbf{stream}$ of customer interactions occur sequentially, where customers' valuations are drawn independently. However, this model is not entirely reflective of the real world, as it overlooks…

Machine Learning · Computer Science 2024-06-10 Titing Cui , Su Jia , Thomas Lavastida

Research on the vulnerability of electric networks with a complex network approach has produced significant results in the last decade, especially for transmission networks. These studies have shown that there are causal relations between…

Physics and Society · Physics 2024-09-11 Bálint Hartmann , Tamás Soha , Michelle T. Cirunay , Tímea Erdei

Transport networks must balance viscous pumping losses with the energetic cost of maintaining an operative architecture. This paper formulates that trade-off as an entropy-per-information-cost (EPIC) extremum that prices structural upkeep…

Biological Physics · Physics 2025-11-19 Justin Bennett

This paper presents a comprehensive analytical study of two competitive cognitive operators' spectrum leasing and pricing strategies, taking into account operators' heterogeneity in leasing costs and users' heterogeneity in transmission…

Networking and Internet Architecture · Computer Science 2016-11-17 Lingjie Duan , Jianwei Huang , Biying Shou

In this paper, a flexibility-oriented microgrid optimal scheduling model is proposed to mitigate distribution network net load variability caused by large penetration distributed solar generation. The distributed solar generation…

Systems and Control · Computer Science 2016-08-17 Alireza Majzoobi , Amin Khodaei

Incentive-based coordination mechanisms for distributed energy consumption have shown promise in aligning individual user objectives with social welfare, especially under privacy constraints. Our prior work proposed a two-timescale adaptive…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Jiayi Li , Jiale Wei , Matthew Motoki , Yan Jiang , Baosen Zhang

Forecasting electricity prices is a challenging task and an active area of research since the 1990s and the deregulation of the traditionally monopolistic and government-controlled power sectors. Although it aims at predicting both spot and…

Statistical Finance · Quantitative Finance 2025-07-23 Katarzyna Maciejowska , Bartosz Uniejewski , Rafał Weron

The integration of renewable sources poses challenges at the operational and economic levels of the power grid. In terms of keeping the balance between supply and demand, the usual scheme of supply following load may not be appropriate for…

Systems and Control · Computer Science 2014-04-07 Ashutosh Nayyar , Matias Negrete-Pincetic , Kameshwar Poolla , Pravin Varaiya

The fast uptake of distributed energy resources (DERs) presents increasing challenges for managing hosting capacity in distribution networks. Existing solutions include direct load control, operating envelopes, and price-based control…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Jiawei Zhang , Gregor Verbic , Frederik Geth , Mohsen Aldaadi , Rahmat Heidari , Julio Braslavsky

Existing theories for the evolution of aging and death treat senescence as a side-effect of strong selection for fertility. These theories are well-developed mathematically, but fit poorly with emerging experimental data. The data suggest…

Populations and Evolution · Quantitative Biology 2007-05-23 Josh Mitteldorf

Flexible loads, i.e. the loads whose power trajectory is not bound to a specific one, constitute a sizable portion of current and future electric demand. This flexibility can be used to improve the performance of the grid, should the right…

Optimization and Control · Mathematics 2014-07-08 Mahdi Kefayati , Ross Baldick

Physical risks, such as droughts, floods, rising temperatures, earthquakes, infrastructure failures, and geopolitical conflicts, can ripple through global supply chains, raising costs, and constraining production across industries.…

Physics and Society · Physics 2025-04-25 Jichu Han , Lina Wang , Richard Bookstaber , Dhruv Sharma

We examine the stability of wireless networks whose users are distributed over a compact space. A subset of users is called {\it admissible} when their simultaneous activity obeys the prevailing interference constraints and, in each time…

Probability · Mathematics 2013-09-05 Niek Bouman , Sem Borst , Johan van Leeuwaarden

To alleviate the congestion caused by rapid growth in demand for mobile data, wireless service providers (WSPs) have begun encouraging users to offload some of their traffic onto supplementary network technologies, e.g., offloading from 3G…

Networking and Internet Architecture · Computer Science 2014-02-04 Carlee Joe-Wong , Soumya Sen , Sangtae Ha

Low-carbon societies will need to store vast amounts of electricity to balance intermittent generation from wind and solar energy, for example, through frequency regulation. Here, we derive an analytical solution to the decision-making…

Optimization and Control · Mathematics 2024-03-27 Dirk Lauinger , François Vuille , Daniel Kuhn

We consider a monopoly insurance market with a risk-neutral profit-maximizing insurer and a consumer with Yaari Dual Utility preferences that distort the given continuous loss distribution. The insurer observes the loss distribution but not…

Theoretical Economics · Economics 2025-04-03 Mario Ghossoub , Bin Li , Benxuan Shi