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We study a quantum game played by two players with restricted multiple strategies. It is found that in this restricted quantum game Nash equilibrium does not always exist when the initial state is entangled. At the same time, we find that…

Quantum Physics · Physics 2018-01-17 Bo Chen , Ying-Jun Ma , Gui Lu Long

We study a network congestion game of discrete-time dynamic traffic of atomic agents with a single origin-destination pair. Any agent freely makes a dynamic decision at each vertex (e.g., road crossing) and traffic is regulated with given…

Computer Science and Game Theory · Computer Science 2017-05-05 Zhigang Cao , Bo Chen , Xujin Chen , Changjun Wang

In the traditional game-theoretic set up, where agents select actions and experience corresponding utilities, an equilibrium is a configuration where no agent can improve their utility by unilaterally switching to a different action. In…

Systems and Control · Electrical Eng. & Systems 2019-10-02 Basilio Gentile , Dario Paccagnan , Bolutife Ogunsula , John Lygeros

This paper introduces a consensus-based generalized multi-population aggregative game coordination approach with application to electric vehicles charging under transmission line constraints. The algorithm enables agents to seek an…

Systems and Control · Electrical Eng. & Systems 2023-10-19 Mahsa Ghavami , Babak Ghaffarzadeh Bakhshayesh , Mohammad Haeri , Giacomo Como , Hamed Kebriaei

In quantum networks, effective entanglement routing facilitates remote entanglement communication between quantum source and quantum destination nodes. Unlike routing in classical networks, entanglement routing in quantum networks must…

Quantum Physics · Physics 2023-04-11 Rakpong Kaewpuang , Minrui Xu , Stephen John Turner , Dusit Niyato , Han Yu , Dong In Kim

This paper studies the effects of introducing altruistic agents into atomic congestion games. Altruistic behavior is modeled by a trade-off between selfish and social objectives. In particular, we assume agents optimize a linear combination…

Computer Science and Game Theory · Computer Science 2009-02-04 Martin Hoefer , Alexander Skopalik

Both classical and quantum version of two models of price competition in duopoly market, the one is realistic and the other is idealized, are investigated. The pure strategy Nash equilibria of the realistic model exists under stricter…

Quantum Physics · Physics 2010-03-25 Yohei Sekiguchi , Kiri Sakahara , Takashi Sato

A simulation scheme of quantum version of Cournot's Duopoly is proposed, in which there is a new Nash equilibrium that may be also Pareto optimal without any entanglement involved. The unique property of this simulation scheme is…

Quantum Physics · Physics 2015-05-27 Shang-Bin Li

Nash equilibria are crucial for understanding game behavior and systems in economics, physics, biology, and computer science. A significant application arises from the connection between Nash equilibria and optimization problems . However,…

Quantum Physics · Physics 2025-11-14 Giovanni Ferrannini , Dario di Gregorio , Federico Fissore

Continually arriving information is communicated through a network of $n$ agents, with the value of information to the $j$'th recipient being a decreasing function of $j/n$, and communication costs paid by recipient. Regardless of details…

Probability · Mathematics 2010-05-27 David J. Aldous

This paper analyses a classical and a quantum annealing approach to compute the minimum deployment of Quantum Key Distribution (QKD) hardware in a tier 1 provider network. The ensemble of QKD systems needs to be able to exchange as many…

We consider the Nash equilibrium problem in a partial-decision information scenario. Specifically, each agent can only receive information from some neighbors via a communication network, while its cost function depends on the strategies of…

Optimization and Control · Mathematics 2021-05-07 Mattia Bianchi , Sergio Grammatico

Electronic devices all around us contain classical control circuits. Such circuits consist of a network of controllers which can read and write signals to wires of the circuit with the goal to minimize the cost function of the circuit's…

Quantum Physics · Physics 2013-07-08 Duy Nguyen Truong , Matthew McKague , Stephanie Wehner

This paper is concerned with a conservation law model of traffic flow on a network of roads, where each driver chooses his own departure time in order to minimize the sum of a departure cost and an arrival cost. The model includes various…

Analysis of PDEs · Mathematics 2016-03-28 Alberto Bressan , Ke Han

This paper establishes the tractability of finding the optimal Nash equilibrium, as well as the optimal social solution, to a discrete congestion game using a gate-model quantum computer. The game is of the type originally posited by…

Quantum Physics · Physics 2020-08-24 Mark Hodson , Brendan Ruck , Hugh Ong , Stefan Dulman , David Garvin

To construct a quantum network with many end users, it is critical to have a cost-efficient way to distribute entanglement over different network ends. We demonstrate an entanglement access network, where the expensive resource, the…

Quantum Physics · Physics 2015-08-06 X. Y. Chang , D. L. Deng , X. X. Yuan , P. Y. Hou , Y. Y. Huang , L. M. Duan

Quantum networks scale the advantages of quantum communication protocols to more than just two distant users. Here we present a fully connected quantum network architecture in which a single entangled photon source distributes quantum…

Motivated by emerging resource allocation and data placement problems such as web caches and peer-to-peer systems, we consider and study a class of resource allocation problems over a network of agents (nodes). In this model, nodes can…

Computer Science and Game Theory · Computer Science 2020-01-07 S. Rasoul Etesami

We analyze analytically the effect of congestion costs within a physically relevant, yet exactly solvable network model featuring central hubs. These costs lead to a competition between centralized and decentralized transport pathways. In…

Disordered Systems and Neural Networks · Physics 2009-11-10 Douglas J. Ashton , Timothy C. Jarrett , Neil F. Johnson

We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

Optimization and Control · Mathematics 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour