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Game theory is a powerful analytical tool for modeling decision makers strategies, behaviors and interactions. Act and decisions of a decision maker can benefit or negatively impact other decision makers interests. Game theory has been…

Systems and Control · Computer Science 2018-05-01 Ali Mohammadi , Sanaz Rabinia

This paper investigates inventory management in a multi channel distribution system consisting of one manufacturer and an arbitrary number of retailers that face stochastic demand. Existence of the pure Nash equilibrium is proved and…

Computer Science and Game Theory · Computer Science 2009-06-02 Mahtab Hoseininia , Farzad Didehvar , Mir Mehdi Seyyed Esfahani

The $1-N$ generalized Stackelberg game (single-leader multi-follower game) is intricately intertwined with the interaction between a leader and followers (hierarchical interaction) and the interaction among followers (simultaneous…

Computer Science and Game Theory · Computer Science 2023-06-12 Jaeyeon Jo , Jihwan Yu , Jinkyoo Park

In the electricity market, it is quite common that the market participants make "selfish" strategies to harvest the maximum profits for themselves, which may cause the social benefit loss and impair the sustainability of the society in the…

Systems and Control · Electrical Eng. & Systems 2022-05-31 Jianzheng Wang , Yipeng Pang , Guoqiang Hu

We consider the problem of supply and demand balancing that is stated as a minimization problem for the total expected revenue function describing the behavior of both consumers and suppliers. In the considered market model we assume that…

Optimization and Control · Mathematics 2021-06-29 Dmitry Pasechnyuk , Pavel Dvurechensky , Sergey Omelchenko , Alexander Gasnikov

Peer-to-peer trading in energy networks is expected to be exclusively conducted by the prosumers of the network with negligible influence from the grid. This raises the critical question: how can enough prosumers be encouraged to…

Computer Science and Game Theory · Computer Science 2019-03-12 Wayes Tushar , Tapan Kumar Saha , Chau Yuen , Thomas Morstyn , Malcolm D. McCulloch , H. Vincent Poor , Kristin L. Wood

This paper investigates design of noncooperative games from an optimization and control theoretic perspective. Pricing mechanisms are used as a design tool to ensure that the Nash equilibrium of a fairly general class of noncooperative…

Computer Science and Game Theory · Computer Science 2010-07-02 Tansu Alpcan , Lacra Pavel , Nem Stefanovic

We consider a market where a finite number of players trade an asset whose supply is a stochastic process. The price formation problem consists of finding a price process that ensures that when agents act optimally to minimize their trading…

Analysis of PDEs · Mathematics 2022-08-15 Diogo Gomes , Julian Gutierrez , Ricardo Ribeiro

In settings where full incentive-compatibility is not available, such as core-constraint combinatorial auctions and budget-balanced combinatorial exchanges, we may wish to design mechanisms that are as incentive-compatible as possible. This…

Computer Science and Game Theory · Computer Science 2015-03-24 Benjamin Lubin

Competition has been introduced in the electricity markets with the goal of reducing prices and improving efficiency. The basic idea which stays behind this choice is that, in competitive markets, a greater quantity of the good is exchanged…

Physics and Society · Physics 2009-11-11 Ettore Bompard , Yuchao Ma , Elena Ragazzi

We study equilibria in an Electric Vehicle (EV) charging game, a cost minimization game inherent to decentralized charging control strategy for EV power demand management. In our model, each user optimizes its total cost which is sum of…

Theoretical Economics · Economics 2022-12-13 Trivikram Dokka , Jorge Bruno , Sonali SenGupta , Chowdhury Mohammad Sakib Anwar

This paper proposes a fully distributed Demand-Side Management system for Smart Grid infrastructures, especially tailored to reduce the peak demand of residential users. In particular, we use a dynamic pricing strategy, where energy tariffs…

Computer Science and Game Theory · Computer Science 2014-05-09 Antimo Barbato , Antonio Capone , Lin Chen , Fabio Martignon , Stefano Paris

We introduce a multi-modal autonomous delivery optimization framework as a coalition game for a fleet of UAVs and ADRs operating in two overlaying networks to address last-mile delivery in urban environments, including high-density areas…

Machine Learning · Computer Science 2025-07-24 Farzan Moosavi , Bilal Farooq

Interactions among selfish users sharing a common transmission channel can be modeled as a non-cooperative game using the game theory framework. When selfish users choose their transmission probabilities independently without any…

Computer Science and Game Theory · Computer Science 2009-05-31 Jaeok Park , Mihaela van der Schaar

Fair cost allocation in community microgrids remains a significant challenge due to the complex interactions between multiple participants with varying load profiles, distributed energy resources, and storage systems. Traditional cost…

Systems and Control · Electrical Eng. & Systems 2025-02-14 K. Victor Sam Moses Babu , Pratyush Chakraborty , Mayukha Pal

Considering a supply chain with partial vertical integration, we attempt to seek answers to several questions related to the cooperation competition based friction, abundant in such networks. Such an SC can represent a supplier with an…

General Economics · Economics 2025-04-15 Gurkirat Wadhwa , Veeraruna Kavitha

With the advent of prosumers, the traditional centralized operation may become impracticable due to computational burden, privacy concerns, and conflicting interests. In this paper, an energy sharing mechanism is proposed to accommodate…

Optimization and Control · Mathematics 2020-12-29 Yue Chen , Changhong Zhao , Steven H. Low , Shengwei Mei

In congested urban areas, it remains a pressing challenge to reduce unnecessary vehicle circling for parking while at the same time maximize parking space utilization. In observance of new information technologies that have become readily…

Computer Science and Game Theory · Computer Science 2015-01-06 Daniel Mackowski , Yun Bai , Yanfeng Ouyang

An important scenario for smart grids which encompass distributed electrical networks is given by the simultaneous presence of aggregators and individual consumers. In this work, an aggregator is seen as an entity (a coalition) which is…

Computer Science and Game Theory · Computer Science 2015-09-25 Olivier Beaude , Cheng Wan , Samson Lasaulce

Both ride-hailing services and electric vehicles are becoming increasingly popular and it is likely that charging management of the ride-hailing vehicles will be a significant part of the ride-hailing company's operation in the near future.…

Systems and Control · Electrical Eng. & Systems 2022-03-18 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis