Journal ArticleDOI
Dynamic programming approach to discrete time dynamic feedback Stackelberg games with independent and dependent followers
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Dynamic programming algorithms are presented for the solution of discrete time dynamic feedback Stackelberg games with multiple players both for independent followers and for dependent followers.About:
This article is published in European Journal of Operational Research.The article was published on 2006-02-16. It has received 51 citations till now. The article focuses on the topics: Stackelberg competition & Bilevel optimization.read more
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Journal ArticleDOI
Economics of Electric Vehicle Charging: A Game Theoretic Approach
TL;DR: It is shown that the proposed game possesses a socially optimal Stackelberg equilibrium in which the grid optimizes its price while the PEVGs choose their equilibrium strategies, and a distributed algorithm that enables thePEVGs and the smart grid to reach this equilibrium is proposed and assessed by extensive simulations.
Posted Content
Economics of Electric Vehicle Charging: A Game Theoretic Approach
TL;DR: In this paper, the problem of grid-to-vehicle energy exchange between a smart grid and plug-in electric vehicle groups (PEVGs) is studied using a non-cooperative Stackelberg game.
Journal ArticleDOI
Prioritizing Consumers in Smart Grid: A Game Theoretic Approach
TL;DR: It is shown that the single-leader multiple-follower Stackelberg game possesses a socially optimal solution, in which the sum of the benefits to all consumers is maximized, as the total cost to the CPS is minimized.
Journal ArticleDOI
Linear quadratic mean field Stackelberg differential games
Jun Moon,Tamer Basar +1 more
TL;DR: The paper solves the leader’s local optimal control problem, as a nonstandard constrained optimization problem, with constraints being induced by the approximated mean field process determined by Nash followers (which also depend on the leader's control), and shows that the local optimal decentralized controllers for the leader and the followers constitute an (ϵ1,ϵ2)-Stackelberg–Nash equilibrium for the original game.
Journal ArticleDOI
Noncooperative and Cooperative Optimization of Electric Vehicle Charging Under Demand Uncertainty: A Robust Stackelberg Game
TL;DR: This paper theoretically prove the existence and uniqueness of robust Stackelberg equilibrium for the two approaches and develop distributed algorithms to converge to the global optimal solution that are robust against the demand uncertainty.
References
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Book
Dynamic Programming and Optimal Control
TL;DR: The leading and most up-to-date textbook on the far-ranging algorithmic methododogy of Dynamic Programming, which can be used for optimal control, Markovian decision problems, planning and sequential decision making under uncertainty, and discrete/combinatorial optimization.
Book
Dynamic Noncooperative Game Theory
Tamer Basar,Geert Jan Olsder +1 more
TL;DR: In this paper, the authors present a general formulation of non-cooperative finite games: N-Person nonzero-sum games, Pursuit-Evasion games, and Stackelberg Equilibria of infinite dynamic games.
Book
Mathematical Programs with Equilibrium Constraints
TL;DR: Results in the book are expected to have significant impacts in such disciplines as engineering design, economics and game equilibria, and transportation planning, within all of which MPEC has a central role to play in the modelling of many practical problems.
Book
Foundations of Bilevel Programming
TL;DR: This paper presents a meta-modelling framework that automates the very labor-intensive and therefore time-heavy and expensive process of solving linear and Discrete Bilevel Problems.