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This paper investigates the privacy-preserving distributed Nash equilibrium seeking problem for aggregative games. A novel differential privacy mechanism is designed by incorporating stochastic event-triggering with stochastic quantization,…

最优化与控制 · 数学 2026-05-27 Qingtan Meng , Qian Ma

In game theory, the concept of Nash equilibrium reflects the collective stability of some individual strategies chosen by selfish agents. The concept pertains to different classes of games, e.g. the sequential games, where the agents play…

逻辑 · 数学 2015-07-01 Stephane Le Roux

In this paper, we explore aggregative games over networks of multi-integrator agents with coupled constraints. To reach the general Nash equilibrium of an aggregative game, a distributed strategy-updating rule is proposed by a combination…

最优化与控制 · 数学 2023-02-27 Xin Cai , Feng Xiao , Bo Wei

This paper considers a distributed gossip approach for finding a Nash equilibrium in networked games on graphs. In such games a player's cost function may be affected by the actions of any subset of players. An interference graph is…

计算机科学与博弈论 · 计算机科学 2020-04-10 Farzad Salehisadaghiani , Lacra Pavel

A distributed Nash equilibrium seeking algorithm is presented for networked games. We assume an incomplete information available to each player about the other players' actions. The players communicate over a strongly connected digraph to…

系统与控制 · 计算机科学 2019-12-10 Farzad Salehisadaghiani , Lacra Pavel

Many important real-world settings contain multiple players interacting over an unknown duration with probabilistic state transitions, and are naturally modeled as stochastic games. Prior research on algorithms for stochastic games has…

计算机科学与博弈论 · 计算机科学 2021-02-19 Sam Ganzfried

Successful algorithms have been developed for computing Nash equilibrium in a variety of finite game classes. However, solving continuous games -- in which the pure strategy space is (potentially uncountably) infinite -- is far more…

计算机科学与博弈论 · 计算机科学 2021-06-02 Sam Ganzfried

This paper considers the problem of Nash equilibrium (NE) seeking in aggregative games, where the payoff function of each player depends on an aggregate of all players' actions. We present a distributed continuous time algorithm such that…

最优化与控制 · 数学 2019-11-04 Mehran Shakarami , Claudio De Persis , Nima Monshizadeh

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 study the role of costly information in non-cooperative two-player games when an extrinsic third party information broker is introduced asymmetrically, allowing one player to obtain information about the other player's action. This…

计算机科学与博弈论 · 计算机科学 2020-02-20 Matthew J. Young , Andrew Belmonte

The decision making and management of many engineering networks involves multiple parties with conflicting interests, while each party is constituted with multiple agents. Such problems can be casted as a multi-cluster game. Each cluster is…

计算机科学与博弈论 · 计算机科学 2022-05-25 Yue Chen , Peng Yi

The overall aim of our research is to develop techniques to reason about the equilibrium properties of multi-agent systems. We model multi-agent systems as concurrent games, in which each player is a process that is assumed to act…

计算机科学中的逻辑 · 计算机科学 2020-08-14 Julian Gutierrez , Aniello Murano , Giuseppe Perelli , Sasha Rubin , Thomas Steeples , Michael Wooldridge

In this paper, we address the challenge of Nash equilibrium (NE) seeking in non-cooperative convex games with partial-decision information. We propose a distributed algorithm, where each agent refines its strategy through projected-gradient…

计算机科学与博弈论 · 计算机科学 2023-09-15 Duong Thuy Anh Nguyen , Mattia Bianchi , Florian Dörfler , Duong Tung Nguyen , Angelia Nedić

We consider a system of single- or double integrator agents playing a generalized Nash game over a network, in a partial-information scenario. We address the generalized Nash equilibrium seeking problem by designing a fully-distributed…

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

This paper considers finitely many investors who perform mean-variance portfolio selection under relative performance criteria. That is, each investor is concerned about not only her terminal wealth, but how it compares to the average…

数理金融 · 定量金融 2026-05-14 Yu-Jui Huang , Li-Hsien Sun

We investigate Nash equilibrium learning in a competitive Markov Game (MG) environment, where multiple agents compete, and multiple Nash equilibria can exist. In particular, for an oligopolistic dynamic pricing environment, exact Nash…

计算机科学与博弈论 · 计算机科学 2024-03-05 Larkin Liu

This paper studies the global Nash equilibrium problem of leader-follower multi-agent dynamics, which yields consensus with a privacy information encrypted learning algorithm. With the secure hierarchical structure, the relationship between…

系统与控制 · 电气工程与系统科学 2023-02-08 Kun Zhang , Ji-Feng Zhang , Rong Su , Huaguang Zhang

This paper considers the design of fully distributed Nash equilibrium seeking strategies for multi-agent games. To develop fully distributed seeking strategies, two adaptive control laws, including a node-based control law and an edge-based…

最优化与控制 · 数学 2019-12-03 Maojiao Ye , Guoqiang Hu

We consider in discrete time, a general class of sequential stochastic dynamic games with asymmetric information with the following features. The underlying system has Markovian dynamics controlled by the agents' joint actions. Each agent's…

多智能体系统 · 计算机科学 2023-01-16 Yi Ouyang , Hamidreza Tavafoghi , Demosthenis Teneketzis

We introduce a game model called "customer attraction game" to demonstrate the competition among online content providers. In this model, customers exhibit interest in various topics. Each content provider selects one topic and benefits…

计算机科学与博弈论 · 计算机科学 2024-10-11 Xiaotie Deng , Hangxin Gan , Ningyuan Li , Weian Li , Qi Qi