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We consider a class of mean field games in which the agents interact through both their states and controls, and we focus on situations in which a generic agent tries to adjust her speed (control) to an average speed (the average is made in…

偏微分方程分析 · 数学 2020-03-10 Y Achdou , Z Kobeissi

We are interested in the convergence of the value of n-stage games as n goes to infinity and the existence of the uniform value in stochastic games with a general set of states and finite sets of actions where the transition is commutative.…

最优化与控制 · 数学 2016-04-22 Xavier Venel

Studying strategy update rules in the framework of evolutionary game theory, one can differentiate between imitation processes and aspiration-driven dynamics. In the former case, individuals imitate the strategy of a more successful peer.…

种群与进化 · 定量生物学 2014-03-06 Jinming Du , Bin Wu , Philipp M. Altrock , Long Wang

This paper studies policy optimization algorithms for multi-agent reinforcement learning. We begin by proposing an algorithm framework for two-player zero-sum Markov Games in the full-information setting, where each iteration consists of a…

机器学习 · 计算机科学 2022-07-26 Runyu Zhang , Qinghua Liu , Huan Wang , Caiming Xiong , Na Li , Yu Bai

In decision-dependent games, multiple players optimize their decisions under a data distribution that shifts with their joint actions, creating complex dynamics in applications like market pricing. A practical consequence of these dynamics…

计算机科学与博弈论 · 计算机科学 2025-09-04 Guangzheng Zhong , Yang Liu , Jiming Liu

We consider games played on the transition graph of concurrent programs running under the Total Store Order (TSO) weak memory model. Games are frequently used to model the interaction between a system and its environment, in this case…

计算机科学中的逻辑 · 计算机科学 2024-11-05 Stephan Spengler

Fictitious play has recently emerged as the most accurate scalable algorithm for approximating Nash equilibrium strategies in multiplayer games. We show that the degree of equilibrium approximation error of fictitious play can be…

计算机科学与博弈论 · 计算机科学 2022-11-22 Sam Ganzfried

We present a method to automatically find security strategies for the use case of intrusion prevention. Following this method, we model the interaction between an attacker and a defender as a Markov game and let attack and defense…

机器学习 · 计算机科学 2024-04-23 Kim Hammar , Rolf Stadler

An ever-important issue is protecting infrastructure and other valuable targets from a range of threats from vandalism to theft to piracy to terrorism. The "defender" can rarely afford the needed resources for a 100% protection. Thus, the…

计算机科学与博弈论 · 计算机科学 2017-06-20 Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi , Aleksandrs Slivkins

We study a model in which two players with opposing interests try to alter a status quo through instability-generating actions. We show that instability can be used to secure longer-term durable changes, even if it is costly to generate and…

理论经济学 · 经济学 2023-03-14 César Barilla , Duarte Gonçalves

Multi-team games, prevalent in robotics and resource management, involve team members striving for a joint best response against other teams. Team-Nash equilibrium (TNE) predicts the outcomes of such coordinated interactions. However, can…

计算机科学与博弈论 · 计算机科学 2024-11-01 Ahmed Said Donmez , Yuksel Arslantas , Muhammed O. Sayin

Mean field games formalize dynamic games with a continuum of players and explicit interaction where the players can have heterogeneous states. As they additionally yield approximate equilibria of corresponding $N$-player games, they are of…

最优化与控制 · 数学 2020-01-09 Berenice Anne Neumann

The recently developed mean-field game models of corruption and bot-net defence in cyber-security, the evolutionary game approach to inspection and corruption, and the pressure-resistance game element, can be combined under an extended…

最优化与控制 · 数学 2022-05-03 Stamatios Katsikas , Vassili Kolokoltsov

In two-player finite-state stochastic games of partial observation on graphs, in every state of the graph, the players simultaneously choose an action, and their joint actions determine a probability distribution over the successor states.…

计算机科学与博弈论 · 计算机科学 2011-07-13 Krishnendu Chatterjee , Laurent Doyen

The paper studies fictitious play (FP) learning dynamics in continuous time. It is shown that in almost every potential game, and for almost every initial condition, the rate of convergence of FP is exponential. In particular, the paper…

计算机科学与博弈论 · 计算机科学 2017-07-26 Brian Swenson , Soummya Kar

Consider a two-player game repeated N times. Player 1 can choose between two styles (for interpretability, offensive and defensive), whereas Player 2 uses a single fixed style. Let X N\,:= \#wins -\#losses for Player 1 after N games, and…

计算机科学与博弈论 · 计算机科学 2026-04-20 Jonatha ANSELMI , Bruno Gaujal

We formulate and study a general time-varying multi-agent system where players repeatedly compete under incomplete information. Our work is motivated by scenarios commonly observed in online advertising and retail marketplaces, where agents…

计算机科学与博弈论 · 计算机科学 2025-05-27 Ludovico Crippa , Yonatan Gur , Bar Light

This paper investigates the Nash equilibrium seeking problems for networked games with intermittent communication, where each player is capable of communicating with other players intermittently over a strongly connected and directed graph.…

最优化与控制 · 数学 2023-10-05 Ying Zhai , Rui Yuan , Huan Su

We introduce a new non-zero-sum game of optimal stopping with asymmetric exercise opportunities. Given a stochastic process modelling the value of an asset, one player observes and can act on the process continuously, while the other player…

概率论 · 数学 2024-05-16 José Luis Pérez , Neofytos Rodosthenous , Kazutoshi Yamazaki

Repeated games are a framework for investigating long-term interdependence of multi-agent systems. In repeated games, zero-determinant (ZD) strategies attract much attention in evolutionary game theory, since they can unilaterally control…

物理与社会 · 物理学 2026-03-23 Ken Nakamura , Masahiko Ueda
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