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We present a polynomial-time algorithm that always finds an (approximate) Nash equilibrium for repeated two-player stochastic games. The algorithm exploits the folk theorem to derive a strategy profile that forms an equilibrium by…

计算机科学与博弈论 · 计算机科学 2012-06-18 Enrique Munoz de Cote , Michael L. Littman

We address the Nash equilibrium problem in a partial-decision information scenario, where each agent can only observe the actions of some neighbors, while its cost possibly depends on the strategies of other agents. Our main contribution is…

最优化与控制 · 数学 2021-05-07 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

We study strategic games on weighted directed graphs, in which the payoff of a player is defined as the sum of the weights on the edges from players who chose the same strategy, augmented by a fixed non-negative integer bonus for picking a…

计算机科学与博弈论 · 计算机科学 2021-03-15 Krzysztof R. Apt , Sunil Simon , Dominik Wojtczak

We present an algorithm that identifies the reasoning patterns of agents in a game, by iteratively examining the graph structure of its Multi-Agent Influence Diagram (MAID) representation. If the decision of an agent participates in no…

计算机科学与博弈论 · 计算机科学 2012-06-18 Dimitrios Antos , Avi Pfeffer

We consider aggregative games with affine coupling constraints, where agents have partial information on the aggregate value and can only communicate with neighbouring agents. We propose a single-layer distributed algorithm that reaches a…

最优化与控制 · 数学 2020-08-14 Dian Gadjov , Lacra Pavel

Auctions are modeled as Bayesian games with continuous type and action spaces. Determining equilibria in auction games is computationally hard in general and no exact solution theory is known. We introduce an algorithmic framework in which…

计算机科学与博弈论 · 计算机科学 2023-05-10 Martin Bichler , Maximilian Fichtl , Matthias Oberlechner

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…

机器人学 · 计算机科学 2020-05-07 Lasse Peters , David Fridovich-Keil , Claire J. Tomlin , Zachary N. Sunberg

This short paper concerns discretization schemes for representing and computing approximate Nash equilibria, with emphasis on graphical games, but briefly touching on normal-form and poly-matrix games. The main technical contribution is a…

人工智能 · 计算机科学 2014-11-13 Luis E. Ortiz

The emergence of cooperation figures among the main goal of game theory in competitive-cooperative environments. Potential games have long been hinted as viable alternatives to study realistic player behavior. Here, we expand the potential…

计算机科学与博弈论 · 计算机科学 2018-10-12 G. M. Nakamura , G. S. Contesini , A. S. Martinez

We propose a generic strategic network resource sharing game between a set of players representing operators. The players negotiate which sets of players share given resources, serving users with varying sensitivity to interference. We…

计算机科学与博弈论 · 计算机科学 2016-05-31 Sofonias Hailu , Ragnar Freij-Hollanti , Alexis A. Dowhuszko , Olav Tirkkonen

We study natural strategic games on directed graphs, which capture the idea of coordination in the absence of globally common strategies. We show that these games do not need to have a pure Nash equilibrium and that the problem of…

计算机科学与博弈论 · 计算机科学 2016-06-27 Krzysztof R. Apt , Sunil Simon , Dominik Wojtczak

In this paper, we study finite-agent linear-quadratic games on graphs. Specifically, we propose a comprehensive framework that extends the existing literature by incorporating heterogeneous and interpretable player interactions. Compared to…

最优化与控制 · 数学 2025-11-19 Ruimeng Hu , Jihao Long , Haosheng Zhou

We study the issues of existence and inefficiency of pure Nash equilibria in linear congestion games with altruistic social context, in the spirit of the model recently proposed by de Keijzer {\em et al.} \cite{DSAB13}. In such a framework,…

计算机科学与博弈论 · 计算机科学 2013-08-16 Vittorio Bilò

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

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

An extensive literature in economics and social science addresses contests, in which players compete to outperform each other on some measurable criterion, often referred to as a player's score, or output. Players incur costs that are an…

计算机科学与博弈论 · 计算机科学 2013-08-01 Leslie Ann Goldberg , Paul W. Goldberg , Piotr Krysta , Carmine Ventre

The distributed computation of a Nash equilibrium (NE) for non-cooperative games is gaining increased attention recently. Due to the nature of distributed systems, privacy and communication efficiency are two critical concerns. Traditional…

系统与控制 · 电气工程与系统科学 2024-05-09 Xiaomeng Chen , Wei Huo , Kemi Ding , Subhrakanti Dey , Ling Shi

In this paper we propose a new operator splitting algorithm for distributed Nash equilibrium seeking under stochastic uncertainty, featuring relaxation and inertial effects. Our work is inspired by recent deterministic operator splitting…

最优化与控制 · 数学 2021-03-25 Shisheng Cui , Barbara Franci , Sergio Grammatico , Uday V. Shanbhag , Mathias Staudigl

We study pure Nash equilibria in infinite-duration games on graphs, with partial visibility of actions but communication (based on a graph) among the players. We show that a simple communication mechanism consisting in reporting the…

计算机科学与博弈论 · 计算机科学 2019-06-27 Patricia Bouyer , Nathan Thomasset

In this two-parts paper we propose a decentralized strategy, based on a game-theoretic formulation, to find out the optimal precoding/multiplexing matrices for a multipoint-to-multipoint communication system composed of a set of wideband…

信息论 · 计算机科学 2009-11-13 Gesualdo Scutari , D. P. Palomar , S. Barbarossa
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