Price of anarchy in electric vehicle charging control games: When Nash equilibria achieve social welfare
TLDR
In this paper, the authors considered the problem of optimal charging of plug-in electric vehicles (PEVs) as a multi-agent game, where vehicles/agents are heterogeneous since they are subject to possibly different constraints.About:
This article is published in Automatica.The article was published on 2018-10-01 and is currently open access. It has received 34 citations till now. The article focuses on the topics: Price of anarchy & Nash equilibrium.read more
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Probabilistic sensitivity of Nash equilibria in multi-agent games: a wait-and-judge approach
Filiberto Fele,Kostas Margellos +1 more
TL;DR: This work considers multi-agent noncooperative games where, following a data driven paradigm, unmodelled externalities acting on the players’ objective functions are represented by means of scenarios, and retrieves a Nash equilibrium in a decentralised manner.
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Tracking-based distributed equilibrium seeking for aggregative games
TL;DR: Leveraging tools from singular perturbations analysis, linear convergence to the Nash equilibrium for both schemes is proved and it is shown that these algorithms outperform the current state-of-the-art distributed equilibrium seeking algorithms.
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Learning in Potential Games for Electric Power Grids: Models, Dynamics, and Outlook
TL;DR: In this paper , the authors summarized the state-of-the-art existing literature on applying various potential games (PG) models in power grids and provided an overlook of potential models and algorithms that have not received sufficient attention but possess unique capabilities to solve existing challenges in power grid.
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On the Sensitivity of Linear Resource Sharing Problems to the Arrival of New Agents
TL;DR: In this paper , the authors considered a multi-agent optimal resource sharing problem that is represented by a linear program and provided a characterization of the probability that the arrival of a new agent affects the resource share of other agents, which means that accommodating the new agent request at the detriment of the other agents allocation provides some payoff.
Optimal and Self Selection of Service Type in a Queueing System where Long Service Postpones the Need for the Next Service
Refael Hassin,Jiesen Wang +1 more
TL;DR: In this article , a closed queueing system with two types of services was studied, and the authors showed that choosing the more efficient service is not always optimal, and they showed that the resulting loss of e cient may be very large, in fact it is unbounded.
References
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Book
Parallel and Distributed Computation: Numerical Methods
TL;DR: This work discusses parallel and distributed architectures, complexity measures, and communication and synchronization issues, and it presents both Jacobi and Gauss-Seidel iterations, which serve as algorithms of reference for many of the computational approaches addressed later.
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Existence of an equilibrium for a competitive economy
Kenneth J. Arrow,Gerard Debreu +1 more
TL;DR: In this article, a simplification of the structure of the proofs has been made possible through use of the concept of an abstract economy, a generalization of that of a game, and proofs of the existence of an equilibrium are given for an integrated model of production, exchange and consumption.
Journal ArticleDOI
Mean Field Games
TL;DR: In this paper, the authors present three examples of the mean-field approach to modelling in economics and finance (or other related subjects) and show that these nonlinear problems are essentially well-posed problems with unique solutions.
Journal ArticleDOI
Worst-case equilibria
TL;DR: In this paper, the authors propose the price of anarchy, which is the ratio between the worst possible Nash equilibrium and the social optimum, as a measure of the effectiveness of the system.
Journal ArticleDOI
Achieving Controllability of Electric Loads
TL;DR: Conceptual frameworks for actively involving highly distributed loads in power system control actions and some of the challenges to achieving a load control scheme that balances device- level objectives with power system-level objectives are discussed.
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