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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

In this paper, we study a subclass of n-player stochastic games, in which each player has their own internal state controlled only by their own action and their objective is a common goal called team variance which measures the total…

最优化与控制 · 数学 2025-07-31 Li Xia

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…

最优化与控制 · 数学 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

The strategic selection of resources by selfish agents is a classic research direction, with Resource Selection Games and Congestion Games as prominent examples. In these games, agents select available resources and their utility then…

计算机科学与博弈论 · 计算机科学 2024-06-14 Jonathan Gadea Harder , Simon Krogmann , Pascal Lenzner , Alexander Skopalik

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

This paper addresses a class of network games played by dynamic agents using their outputs. Unlike most existing related works, the Nash equilibrium in this work is defined by functions of agent outputs instead of full agent states, which…

最优化与控制 · 数学 2023-04-27 Meichen Guo , Claudio De Persis

We study Nash equilibria in strategic facility location games where clients are located in an arbitrary metric space. Specifically, there are $n$ clients, and the goal is to choose a facility from a set of given locations, so that the total…

计算机科学与博弈论 · 计算机科学 2026-04-21 Yue Gruszecki , Elliot Anshelevich

This paper proposes and studies a class of discrete-time finite-time-horizon Stackelberg mean-field games, with one leader and an infinite number of identical and indistinguishable followers. In this game, the objective of the leader is to…

最优化与控制 · 数学 2022-10-11 Xin Guo , Anran Hu , Jiacheng Zhang

We consider a symmetric $n$-player nonzero-sum stochastic differential game with controlled jumps and mean-field type interaction among the players. Each player minimizes some expected cost by affecting the drift as well as the jump part of…

概率论 · 数学 2018-05-14 Chiara Benazzoli , Luciano Campi , Luca Di Persio

We study a class of games which model the competition among agents to access some service provided by distributed service units and which exhibit congestion and frustration phenomena when service units have limited capacity. We propose a…

计算机科学与博弈论 · 计算机科学 2015-08-19 F. Altarelli , A. Braunstein , L. Dall'Asta

We study stochastic mean-field games among finite number of teams with large finite as well as infinite number of decision makers. For this class of games within static and dynamic settings, we establish the existence of a Nash equilibrium,…

最优化与控制 · 数学 2022-11-11 Sina Sanjari , Naci Saldi , Serdar Yüksel

In this paper, Nash equilibrium seeking among a network of players is considered. Different from many existing works on Nash equilibrium seeking in non-cooperative games, the players considered in this paper cannot directly observe the…

最优化与控制 · 数学 2017-03-28 Maojiao Ye , Guoqiang Hu

Stochastic two-player games model systems with an environment that is both adversarial and stochastic. The adversarial part of the environment is modeled by a player (Player 2) who tries to prevent the system (Player 1) from achieving its…

计算机科学与博弈论 · 计算机科学 2025-06-11 Laurent Doyen , Pranshu Gaba , Shibashis Guha

Establishing the existence of Nash equilibria for partially observed stochastic dynamic games is known to be quite challenging, with the difficulties stemming from the noisy nature of the measurements available to individual players…

系统与控制 · 计算机科学 2018-06-06 Naci Saldi , Tamer Basar , Maxim Raginsky

We consider a game-theoretic variant of an interval scheduling problem. Every job is associated with a length, a weight, and a color. Each player controls all the jobs of a specific color, and needs to decide on a processing interval for…

计算机科学与博弈论 · 计算机科学 2026-01-22 Vipin Ravindran Vijayalakshmi , Marc Schroder , Tami Tamir

We study biased Maker-Breaker positional games between two players, one of whom is playing randomly against an opponent with an optimal strategy. In this paper we consider the scenario when Maker plays randomly and Breaker is "clever", and…

组合数学 · 数学 2016-04-01 Jonas Groschwitz , Tibor Szabó

We construct Nash equilibria in feedback form for a class of two-person stochastic games of singular control with absorption, arising from a stylized model for corporate finance. More precisely, the paper focusses on a strategic dynamic…

最优化与控制 · 数学 2025-07-04 Tiziano De Angelis , Fabien Gensbittel , Stéphane Villeneuve

We introduce a new measure of the discrepancy in strategic games between the social welfare in a Nash equilibrium and in a social optimum, that we call selfishness level. It is the smallest fraction of the social welfare that needs to be…

计算机科学与博弈论 · 计算机科学 2014-04-04 Krzysztof R. Apt , Guido Schaefer

This paper considers a discrete-time single-server queue with a single acceptance period for a Poissonian population of homogeneous customers. Customers are served on a first-come first-served (FCFS) basis, and their service times are…

概率论 · 数学 2019-06-19 Yutaka Sakuma , Hiroyuki Masuyama , Emiko Fukuda

We consider strategic games that are inspired by Schelling's model of residential segregation. In our model, the agents are partitioned into k types and need to select locations on an undirected graph. Agents can be either stubborn, in…

计算机科学与博弈论 · 计算机科学 2021-08-24 Edith Elkind , Jiarui Gan , Ayumi Igarashi , Warut Suksompong , Alexandros A. Voudouris