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We study the efficiency of the proportional allocation mechanism, that is widely used to allocate divisible resources. Each agent submits a bid for each divisible resource and receives a fraction proportional to her bids. We quantify the…

计算机科学与博弈论 · 计算机科学 2015-07-28 George Christodoulou , Alkmini Sgouritsa , Bo Tang

The price of anarchy (PoA) has been widely used in static games to quantify the loss of efficiency due to noncooperation. Here, we extend this concept to a general differential games framework. In addition, we introduce the price of…

系统与控制 · 计算机科学 2015-03-19 Tamer Basar , Quanyan Zhu

Many multi-agent interaction scenarios can be naturally modeled as noncooperative games, where each agent's decisions depend on others' future actions. However, deploying game-theoretic planners for autonomous decision-making requires a…

机器学习 · 计算机科学 2026-01-05 Yash Jain , Xinjie Liu , Lasse Peters , David Fridovich-Keil , Ufuk Topcu

Schelling games use a game-theoretic approach to study the phenomenon of residential segregation as originally modeled by Schelling. Inspired by the recent increase in the number of people and businesses preferring and promoting diversity,…

计算机科学与博弈论 · 计算机科学 2025-02-20 Yaqiao Li , Lata Narayanan , Jaroslav Opatrny , Yi Tian Xu

This paper proposes distributed omniscient observers for both heterogeneous and homogeneous linear multi-agent systems, such that each agent can correctly estimate the states of all agents. The observer design is based on local input-output…

系统与控制 · 电气工程与系统科学 2026-02-13 Ganghui Cao , Xunyuan Yin

In multi-agent dynamic games, the Nash equilibrium state trajectory of each agent is determined by its cost function and the information pattern of the game. However, the cost and trajectory of each agent may be unavailable to the other…

多智能体系统 · 计算机科学 2023-01-05 Jingqi Li , Chih-Yuan Chiu , Lasse Peters , Somayeh Sojoudi , Claire Tomlin , David Fridovich-Keil

We interpret solving the multi-vehicle routing problem as a team Markov game with partially observable costs. For a given set of customers to serve, the playing agents (vehicles) have the common goal to determine the team-optimal agent…

机器学习 · 计算机科学 2022-06-14 Nathalie Paul , Tim Wirtz , Stefan Wrobel , Alexander Kister

This paper studies the finite-time horizon Markov games where the agents' dynamics are decoupled but the rewards can possibly be coupled across agents. The policy class is restricted to local policies where agents make decisions using their…

计算机科学与博弈论 · 计算机科学 2023-04-11 Runyu Zhang , Yuyang Zhang , Rohit Konda , Bryce Ferguson , Jason Marden , Na Li

We introduce the class of modified Schelling games in which there are different types of agents who occupy the nodes of a location graph; agents of the same type are friends, and agents of different types are enemies. Every agent is…

计算机科学与博弈论 · 计算机科学 2020-05-26 Panagiotis Kanellopoulos , Maria Kyropoulou , Alexandros A. Voudouris

The submodular maximization problem is widely applicable in many engineering problems where objectives exhibit diminishing returns. While this problem is known to be NP-hard for certain subclasses of objective functions, there is a greedy…

分布式、并行与集群计算 · 计算机科学 2020-07-01 Haoyuan Sun , David Grimsman , Jason R Marden

Congestion games are popular models often used to study the system-level inefficiencies caused by selfish agents, typically measured by the price of anarchy. One may expect that aligning the agents' preferences with the system-level…

计算机科学与博弈论 · 计算机科学 2024-09-04 Bryce L Ferguson , Dario Paccagnan , Bary S R Pradelski , Jason R Marden

The price of anarchy (PoA) is a popular metric for analyzing the inefficiency of self-interested decision making. Although its study is widespread, characterizing the PoA can be challenging. A commonly employed approach is based on the…

计算机科学与博弈论 · 计算机科学 2021-05-26 Rahul Chandan , Dario Paccagnan , Jason R. Marden

Uncoordinated individuals in human society pursuing their personally optimal strategies do not always achieve the social optimum, the most beneficial state to the society as a whole. Instead, strategies form Nash equilibria which are often…

物理与社会 · 物理学 2019-11-12 Hyejin Youn , Michael T. Gastner , Hawoong Jeong

The efficiency of a game is typically quantified by the price of anarchy (PoA), defined as the worst ratio of the objective function value of an equilibrium --- solution of the game --- and that of an optimal outcome. Given the tremendous…

计算机科学与博弈论 · 计算机科学 2017-08-23 Nguyen Kim Thang

We study Nash equilibrium learning in partially observable Markov games (POMGs), a multi-agent reinforcement learning framework in which agents cannot fully observe the underlying state. Prior work in this setting relies on centralization…

计算机科学与博弈论 · 计算机科学 2026-05-08 Philip Jordan , Maryam Kamgarpour

We study a pricing game in multi-hop relay networks where nodes price their services and route their traffic selfishly and strategically. In this game, each node (1) announces pricing functions which specify the payments it demands from its…

计算机科学与博弈论 · 计算机科学 2007-10-15 Yufang Xi , Edmund M. Yeh

Learning in games provides a powerful framework to design control policies for self-interested agents that may be coupled through their dynamics, costs, or constraints. We consider the case where the dynamics of the coupled system can be…

系统与控制 · 电气工程与系统科学 2024-09-18 Mostafa M. Shibl , Vijay Gupta

In large systems, it is important for agents to learn to act effectively, but sophisticated multi-agent learning algorithms generally do not scale. An alternative approach is to find restricted classes of games where simple, efficient…

多智能体系统 · 计算机科学 2009-03-16 Ian A. Kash , Eric J. Friedman , Joseph Y. Halpern

Multiagent learning settings are inherently more difficult than single-agent learning because each agent interacts with other simultaneously learning agents in a shared environment. An effective approach in multiagent reinforcement learning…

计算机科学与博弈论 · 计算机科学 2022-10-31 Dong-Ki Kim , Matthew Riemer , Miao Liu , Jakob N. Foerster , Gerald Tesauro , Jonathan P. How

We consider non-cooperative unsplittable congestion games where players share resources, and each player's strategy is pure and consists of a subset of the resources on which it applies a fixed weight. Such games represent unsplittable…

计算机科学与博弈论 · 计算机科学 2013-08-20 Rajgopal Kannan , Costas Busch , Paul Spirakis