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Open AccessJournal ArticleDOI

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.

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Citations
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Journal ArticleDOI

A posteriori probabilistic feasibility guarantees for Nash equilibria in uncertain multi-agent games

TL;DR: A distribution-free methodology is presented for providing robustness guarantees for Nash equilibria (NE) of multi-agent games, and circumvents the need of employing computationally prohibitive algorithms to find an irreducible support subsample, a concept at the core of the scenario approach.
Posted Content

Incentivizing Collaboration in Heterogeneous Teams via Common-Pool Resource Games.

TL;DR: A team of heterogeneous agents that is collectively responsible for servicing, and subsequently reviewing, a stream of homogeneous tasks is considered and the existence of a unique Pure Nash Equilibrium (PNE) is shown, and convergence of best response dynamics to this unique PNE is established.
Journal ArticleDOI

Semi-Decentralized Generalized Nash Equilibrium Seeking in Monotone Aggregative Games

TL;DR: In this paper , the generalized Nash equilibrium seeking problem for a population of agents playing aggregative games with affine coupling constraints is addressed, where a central coordinator is able to gather and broadcast signals of aggregative nature to the agents.
Journal ArticleDOI

Incentivizing Collaboration in Heterogeneous Teams via Common-Pool Resource Games

TL;DR: In this article , the authors consider a team of heterogeneous agents, which are collectively responsible for servicing and subsequently reviewing a stream of homogeneous tasks, and they formulate a common-pool resource game, and design utility functions to incentivize collaboration among heterogenous agents in a decentralized manner.
Proceedings ArticleDOI

Linear programs for resource sharing among heterogeneous agents: The effect of random agent arrivals

TL;DR: The probability that the arrival of a new agent does not affect the optimal value and the resource share of the other agents means that the system cannot accommodate the request of a further agent and has reached its saturation limit.
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.
Book ChapterDOI

Existence of an equilibrium for a competitive economy

Kenneth J. Arrow, +1 more
- 01 Jul 1954 - 
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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