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Equilibria of realistic multiplayer games constitute a key solution concept both in practical applications, such as online advertising auctions and electricity markets, and in analytical frameworks used to study strategic voting in…

Computer Science and Game Theory · Computer Science 2025-11-18 Jakub Černý , Shuvomoy Das Gupta , Christian Kroer

In a multi-objective game, each individual's payoff is a \emph{vector-valued} function of everyone's actions. Under such vectorial payoffs, Pareto-efficiency is used to formulate each individual's best-response condition, inducing…

Computer Science and Game Theory · Computer Science 2018-09-14 Anisse Ismaili

We suggest a novel stochastic-approximation algorithm to compute a symmetric Nash-equilibrium strategy in a general queueing game with a finite action space. The algorithm involves a single simulation of the queueing process with dynamic…

Probability · Mathematics 2023-08-30 Liron Ravner , Ran I. Snitkovsky

In many settings where multiple agents interact, the optimal choices for each agent depend heavily on the choices of the others. These coupled interactions are well-described by a general-sum differential game, in which players have…

Robotics · Computer Science 2020-05-07 Lasse Peters , David Fridovich-Keil , Claire J. Tomlin , Zachary N. Sunberg

In general, Nash equilibria in normal-form games may require players to play (probabilistically) mixed strategies. We define a measure of the complexity of finite probability distributions and study the complexity required to play Nash…

Computer Science and Game Theory · Computer Science 2024-05-14 Edan Orzech , Martin Rinard

Public goods games study the incentives of individuals to contribute to a public good and their behaviors in equilibria. In this paper, we examine a specific type of public goods game where players are networked and each has binary actions,…

Computer Science and Game Theory · Computer Science 2022-04-04 Sixie Yu , Kai Zhou , P. Jeffrey Brantingham , Yevgeniy Vorobeychik

Linear Dynamic Logic on finite traces LDLf is a powerful logic for reasoning about the behaviour of concurrent and multi-agent systems. In this paper, we investigate techniques for both the characterisation and verification of equilibria in…

Logic in Computer Science · Computer Science 2020-08-14 Julian Gutierrez , Giuseppe Perelli , Michael Wooldridge

This paper studies a class of strongly monotone games involving non-cooperative agents that optimize their own time-varying cost functions. We assume that the agents can observe other agents' historical actions and choose actions that best…

Optimization and Control · Mathematics 2023-09-04 Zifan Wang , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

We investigate mean-field games from the point of view of a large number of indistinguishable players which eventually converges to infinity. The players are weakly coupled via their empirical measure. The dynamics of the states of the…

Optimization and Control · Mathematics 2017-02-21 Rani Basna , Astrid Hilbert , Vassili N. Kolokoltsov

In this paper, we consider a Nash equilibrium seeking problem for a class of high-order multi-agent systems with unknown dynamics. Different from existing results for single integrators, we aim to steer the outputs of this class of…

Systems and Control · Electrical Eng. & Systems 2021-01-11 Yutao Tang , Peng Yi

Many models from a variety of areas involve the computation of an equilibrium or fixed point of some kind. Examples include Nash equilibria in games; market equilibria; computing optimal strategies and the values of competitive games…

Computational Complexity · Computer Science 2008-02-21 Mihalis Yannakakis

We investigate a model for representing large multiplayer games, which satisfy strong symmetry properties. This model is made of multiple copies of an arena; each player plays in his own arena, and can partially observe what the other…

Computer Science and Game Theory · Computer Science 2014-04-04 Patricia Bouyer , Nicolas Markey , Steen Vester

We describe a new complete algorithm for computing Nash equilibrium in multiplayer general-sum games, based on a quadratically-constrained feasibility program formulation. We demonstrate that the algorithm runs significantly faster than the…

Computer Science and Game Theory · Computer Science 2023-01-18 Sam Ganzfried

We present multilinear and mixed-integer multilinear programs to find a Nash equilibrium in multi-player noncooperative games. We compare the formulations to common algorithms in Gambit, and conclude that a multilinear feasibility program…

Optimization and Control · Mathematics 2024-03-27 Miriam Fischer , Akshay Gupte

We use techniques from the statistical mechanics of disordered systems to analyse the properties of Nash equilibria of bimatrix games with large random payoff matrices. By means of an annealed bound, we calculate their number and analyse…

Disordered Systems and Neural Networks · Physics 2009-10-31 Johannes Berg , Martin Weigt

We propose a logical framework combining a game-theoretic study of abilities of agents to achieve quantitative objectives in multi-player games by optimizing payoffs or preferences on outcomes with a logical analysis of the abilities of…

Logic in Computer Science · Computer Science 2013-03-05 Nils Bulling , Valentin Goranko

Learning in games considers how multiple agents maximize their own rewards through repeated games. Memory, an ability that an agent changes his/her action depending on the history of actions in previous games, is often introduced into…

Computer Science and Game Theory · Computer Science 2024-02-19 Yuma Fujimoto , Kaito Ariu , Kenshi Abe

Quantum games with incomplete information can be studied within a Bayesian framework. We analyze games quantized within the EWL framework [Eisert, Wilkens, and Lewenstein, Phys Rev. Lett. 83, 3077 (1999)]. We solve for the Nash equilibria…

Quantum Physics · Physics 2017-03-10 Neal Solmeyer , Radhakrishnan Balu

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

Optimization and Control · Mathematics 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

We consider the problem of estimating preferences of human agents from data of strategic systems where the agents repeatedly interact. Recently, it was demonstrated that a new estimation method called "quantal regret" produces more accurate…

Computer Science and Game Theory · Computer Science 2022-01-03 Gali Noti
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