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In the context of multi-player, general-sum games, there is an increasing interest in solution concepts modeling some form of communication among players, since they can lead to socially better outcomes with respect to Nash equilibria, and…

Computer Science and Game Theory · Computer Science 2019-10-15 Andrea Celli , Alberto Marchesi , Tommaso Bianchi , Nicola Gatti

We propose a simple yet rich model to extend the notions of Nash equilibria and correlated equilibria of strategic games to the quantum setting, in which we then study the relations between classical and quantum equilibria. Unlike the…

Quantum Physics · Physics 2015-03-17 Shengyu Zhang

This paper investigates the potential benefits of cooperation in scenarios where finitely many agents compete for shared resources, leading to congestion and thereby reduced rewards. By appropriate coordination the members of the…

Computer Science and Game Theory · Computer Science 2024-10-10 Riya Sultana , Veeraruna Kavitha

Shared-constraint games are noncooperative $N$-player games where players are coupled through a common coupling constraint. It is known that such games admit two kinds of equilibria -- generalized Nash equilibria (GNE) and variational…

Computer Science and Game Theory · Computer Science 2019-08-05 Ankur A. Kulkarni

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

Computer Science and Game Theory · Computer Science 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Quantum entanglement has been recently demonstrated as a useful resource in conflicting interest games of incomplete information between two players, Alice and Bob [Pappa et al., Phys. Rev. Lett. 114, 020401 (2015)]. General setting for…

Quantum Physics · Physics 2017-11-17 Ashutosh Rai , Goutam Paul

Enormous successes have been made by quantum algorithms during the last decade. In this paper, we combine the quantum game with the problem of data clustering, and then develop a quantum-game-based clustering algorithm, in which data points…

Machine Learning · Computer Science 2015-05-13 Qiang Li , Yan He , Jing-ping Jiang

We consider a symmetric two-player contest, in which the choice set of effort is constrained. We apply a fundamental property of the payoff function to show that, under standard assumptions, there exists a unique Nash equilibrium in pure…

Theoretical Economics · Economics 2020-09-15 Doron Klunover , John Morgan

Quantum game theory lays a foundation for understanding the interaction of people using quantum computers with conflicting interests. Recently Zhang proposed a simple yet rich model to study quantum strategic games, and addressed some…

Quantum Physics · Physics 2011-05-27 Zhaohui Wei , Shengyu Zhang

Nash equilibrium serves as a fundamental mathematical tool in economics and game theory. However, it classically assumes knowledge of player utilities, whereas economics generally regards preferences as more fundamental. To leverage…

Computer Science and Game Theory · Computer Science 2026-05-11 Ian Gemp , Crystal Qian , Marc Lanctot , Kate Larson

In classical job-scheduling games, each job behaves as a selfish player, choosing a machine to minimize its own completion time. To reduce the equilibria inefficiency, coordination mechanisms are employed, allowing each machine to follow…

Computer Science and Game Theory · Computer Science 2025-02-11 Gilad Lavie , Tami Tamir

Coarse correlated equilibria (CCE) are a good alternative to Nash equilibria (NE), as they arise more naturally as outcomes of learning algorithms and they may exhibit higher payoffs than NE. CCEs include a device which allows players'…

Optimization and Control · Mathematics 2023-11-08 Luciano Campi , Federico Cannerozzi , Fanny Cartellier

In addressing the challenge of exponential scaling with the number of agents we adopt a cluster-based representation to approximately solve asymmetric games of very many players. A cluster groups together agents with a similar "strategic…

Computer Science and Game Theory · Computer Science 2012-06-18 Sevan G. Ficici , David C. Parkes , Avi Pfeffer

The multi-cluster games are addressed in this paper, where all players team up with the players in the cluster that they belong to, and compete against the players in other clusters to minimize the cost function of their own cluster. The…

Systems and Control · Electrical Eng. & Systems 2023-06-19 Zhenhua Deng , Yan Zhao

We study a class of non-cooperative aggregative games -- denoted as \emph{social purpose games} -- in which the payoffs depend separately on a player's own strategy (individual benefits) and on a function of the strategy profile which is…

Computer Science and Game Theory · Computer Science 2021-09-20 Robert P. Gilles , Lina Mallozzi , Roberta Messalli

We consider two-player normal form games where each player has the same finite strategy set. The payoffs of each player are assumed to be i.i.d. random variables with a continuous distribution. We show that, with high probability, the…

Theoretical Economics · Economics 2020-11-03 Ben Amiet , Andrea Collevecchio , Kais Hamza

We study noncooperative games, in which each player's objective is composed of a sequence of ordered- and potentially conflicting-preferences. Problems of this type naturally model a wide variety of scenarios: for example, drivers at a busy…

Computer Science and Game Theory · Computer Science 2025-07-08 Dong Ho Lee , Lasse Peters , David Fridovich-Keil

We present several new characterizations of correlated equilibria in games with continuous utility functions. These have the advantage of being more computationally and analytically tractable than the standard definition in terms of…

Computer Science and Game Theory · Computer Science 2011-06-06 Noah D. Stein , Pablo A. Parrilo , Asuman Ozdaglar

In resource contribution games, a class of non-cooperative games, the players want to obtain a bundle of resources and are endowed with bags of bundles of resources that they can make available into a common for all to enjoy. Available…

Computer Science and Game Theory · Computer Science 2024-04-01 Nicolas Troquard

A recent body of experimental literature has studied empirical game-theoretical analysis, in which we have partial knowledge of a game, consisting of observations of a subset of the pure-strategy profiles and their associated payoffs to…

Computer Science and Game Theory · Computer Science 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani
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