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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…

系统与控制 · 电气工程与系统科学 2023-06-19 Zhenhua Deng , Yan Zhao

Several works have recently suggested to model the problem of coordinating the charging needs of a fleet of electric vehicles as a game, and have proposed distributed algorithms to coordinate the vehicles towards a Nash equilibrium of such…

系统与控制 · 计算机科学 2018-10-30 Dario Paccagnan , Francesca Parise , John Lygeros

The Nash Equilibrium is a much discussed, deceptively complex, method for the analysis of non-cooperative games. If one reads many of the commonly available definitions the description of the Nash Equilibrium is deceptively simple in…

计算机科学与博弈论 · 计算机科学 2007-07-09 Philip V. Fellman

Coordination games admit two types of equilibria: pure equilibria, where all players successfully coordinate their actions, and mixed equilibria, where players frequently experience miscoordination. The existing literature shows that under…

理论经济学 · 经济学 2025-01-28 Srinivas Arigapudi , Yuval Heller , Amnon Schreiber

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,…

计算机科学与博弈论 · 计算机科学 2022-04-04 Sixie Yu , Kai Zhou , P. Jeffrey Brantingham , Yevgeniy Vorobeychik

This work considers stochastic differential games with a large number of players, whose costs and dynamics interact through the empirical distribution of both their states and their controls. We develop a new framework to prove convergence…

概率论 · 数学 2022-03-24 Mathieu Laurière , Ludovic Tangpi

In this paper, we formulate an evolutionary multiple access channel game with continuous-variable actions and coupled rate constraints. We characterize Nash equilibria of the game and show that the pure Nash equilibria are Pareto optimal…

计算机科学与博弈论 · 计算机科学 2011-03-15 Quanyan Zhu , Hamidou Tembine , Tamer Basar

In this paper, we study the problem of learning the set of pure strategy Nash equilibria and the exact structure of a continuous-action graphical game with quadratic payoffs by observing a small set of perturbed equilibria. A…

计算机科学与博弈论 · 计算机科学 2019-11-12 Adarsh Barik , Jean Honorio

Aggregative games have many industrial applications, and computing an equilibrium in those games is challenging when the number of players is large. In the framework of atomic aggregative games with coupling constraints, we show that…

计算机科学与博弈论 · 计算机科学 2020-03-27 Paulin Jacquot , Cheng Wan , Olivier Beaude , Nadia Oudjane

We present a new class of vertex cover and set cover games. The price of anarchy bounds match the best known constant factor approximation guarantees for the centralized optimization problems for linear and also for submodular costs -- in…

计算机科学与博弈论 · 计算机科学 2012-03-02 Georgios Piliouras , Tomas Valla , Laszlo A. Vegh

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…

计算机科学与博弈论 · 计算机科学 2026-05-11 Ian Gemp , Crystal Qian , Marc Lanctot , Kate Larson

Congestion games are a classical type of games studied in game theory, in which n players choose a resource, and their individual cost increases with the number of other players choosing the same resource. In network congestion games…

计算机科学与博弈论 · 计算机科学 2020-09-30 Nathalie Bertrand , Nicolas Markey , Suman Sadhukhan , Ocan Sankur

We exhibit the rich structure of the set of correlated equilibria by analyzing the simplest of polynomial games: the mixed extension of matching pennies. We show that while the correlated equilibrium set is convex and compact, the structure…

计算机科学与博弈论 · 计算机科学 2011-12-08 Noah D. Stein , Asuman Ozdaglar , Pablo A. Parrilo

Signaling game problems investigate communication scenarios where encoder(s) and decoder(s) have misaligned objectives due to the fact that they either employ different cost functions or have inconsistent priors. This problem has been…

信息论 · 计算机科学 2023-05-09 Ertan Kazıklı , Sinan Gezici , Serdar Yüksel

Nash equilibrium is the most commonly-used notion of equilibrium in game theory. However, it suffers from numerous problems. Some are well known in the game theory community; for example, the Nash equilibrium of repeated prisoner's dilemma…

计算机科学与博弈论 · 计算机科学 2008-12-18 Joseph Y. Halpern

We study the complexity of computing equilibria in binary public goods games on undirected graphs. In such a game, players correspond to vertices in a graph and face a binary choice of performing an action, or not. Each player's decision…

计算机科学与博弈论 · 计算机科学 2023-05-22 Max Klimm , Maximilian J. Stahlberg

We consider the framework of aggregative games, in which the cost function of each agent depends on his own strategy and on the average population strategy. As first contribution, we investigate the relations between the concepts of Nash…

系统与控制 · 计算机科学 2018-07-27 Dario Paccagnan , Basilio Gentile , Francesca Parise , Maryam Kamgarpour , John Lygeros

In this paper, we introduce malicious Bayesian congestion games as an extension to congestion games where players might act in a malicious way. In such a game each player has two types. Either the player is a rational player seeking to…

计算机科学与博弈论 · 计算机科学 2008-06-05 Martin Gairing

The minority game is a simple congestion game in which the players' main goal is to choose among two options the one that is adopted by the smallest number of players. We characterize the set of Nash equilibria and the limiting behavior of…

物理与社会 · 物理学 2007-08-28 Willemien Kets , Mark Voorneveld

Computational aspects of solution notions such as Nash equilibrium have been extensively studied, including settings where the ultimate goal is to find an equilibrium that possesses some additional properties. Furthermore, in order to…

计算复杂性 · 计算机科学 2023-05-09 Bruce M. Kapron , Koosha Samieefar