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This paper examines the convergence behaviour of simultaneous best-response dynamics in random potential games. We provide a theoretical result showing that, for two-player games with sufficiently many actions, the dynamics converge quickly…

计算机科学与博弈论 · 计算机科学 2025-05-19 Galit Ashkenazi-Golan , Domenico Mergoni Cecchelli , Edward Plumb

Synthesis of finite-state controllers from high-level specifications in multi-agent systems can be reduced to solving multi-player concurrent games over finite graphs. The complexity of solving such games with qualitative objectives for…

计算机科学与博弈论 · 计算机科学 2018-09-28 Shaull Almagor , Rajeev Alur , Suguman Bansal

We suggest to look at quantum measurement outcomes not through the lens of probability theory, but instead through decision theory. We introduce an original game-theoretical framework, model and algorithmic procedure where measurement…

量子物理 · 物理学 2023-10-02 Michal Baczyk , Ghislain Fourny

Computing Nash equilibrium in multi-agent games is a longstanding challenge at the interface of game theory and computer science. It is well known that a general normal form game in N players and k strategies requires exponential space…

计算机科学与博弈论 · 计算机科学 2021-12-09 Morris Yau

Quantum games with incomplete information can be studied within a Bayesian framework. We consider a version of prisoner's dilemma (PD) in this framework with three players and characterize the Nash equilibria. A variation of the standard PD…

量子物理 · 物理学 2017-03-10 Neal Solmeyer , Ricky Dixon , Radhakrishnan Balu

This paper studies the problem of Nash equilibrium approximation in large-scale heterogeneous mean-field games under communication and computation constraints. A deterministic mean-field game is considered in which the non-linear utility…

最优化与控制 · 数学 2017-09-20 Ehsan Nekouei , Tansu Alpcan , Girish Nair

This paper provides theoretical bounds for empirical game theoretical analysis of complex multi-agent interactions. We provide insights in the empirical meta game showing that a Nash equilibrium of the meta-game is an approximate Nash…

计算机科学与博弈论 · 计算机科学 2018-03-20 Karl Tuyls , Julien Perolat , Marc Lanctot , Joel Z Leibo , Thore Graepel

Games with incomplete preferences are an important model for studying rational decision-making in scenarios where players face incomplete information about their preferences and must contend with incomparable outcomes. We study the problem…

计算机科学与博弈论 · 计算机科学 2024-08-13 Abhishek N. Kulkarni , Jie Fu , Ufuk Topcu

Non-cooperative dynamic game theory provides a principled approach to modeling sequential decision-making among multiple noncommunicative agents. A key focus has been on finding Nash equilibria in two-agent zero-sum dynamic games under…

计算机科学与博弈论 · 计算机科学 2025-03-20 Kushagra Gupta , Ross Allen , David Fridovich-Keil , Ufuk Topcu

A model of stochastic games where multiple controllers jointly control the evolution of the state of a dynamic system but have access to different information about the state and action processes is considered. The asymmetry of information…

计算机科学与博弈论 · 计算机科学 2012-09-18 Ashutosh Nayyar , Abhishek Gupta , Cédric Langbort , Tamer Başar

Many efficient algorithms have been designed to recover Nash equilibria of various classes of finite games. Special classes of continuous games with infinite strategy spaces, such as polynomial games, can be solved by semidefinite…

计算机科学与博弈论 · 计算机科学 2020-10-01 Lukáš Adam , Rostislav Horčík , Tomáš Kasl , Tomáš Kroupa

In multi-agent autonomous systems, deception is a fundamental concept which characterizes the exploitation of unbalanced information to mislead victims into choosing oblivious actions. This effectively alters the system's long term…

系统与控制 · 电气工程与系统科学 2025-08-27 Michael Tang , Miroslav Krstic , Jorge Poveda

During 2023, two interesting results were proven about the limit behavior of game dynamics: First, it was shown that there is a game for which no dynamics converges to the Nash equilibria. Second, it was shown that the sink equilibria of a…

计算机科学与博弈论 · 计算机科学 2024-08-22 Rashida Hakim , Jason Milionis , Christos Papadimitriou , Georgios Piliouras

Much of recent success in multiagent reinforcement learning has been in two-player zero-sum games. In these games, algorithms such as fictitious self-play and minimax tree search can converge to an approximate Nash equilibrium. While…

多智能体系统 · 计算机科学 2019-12-11 Alexander Shmakov , John Lanier , Stephen McAleer , Rohan Achar , Cristina Lopes , Pierre Baldi

Stochastic stability is a popular solution concept for stochastic learning dynamics in games. However, a critical limitation of this solution concept is its inability to distinguish between different learning rules that lead to the same…

机器学习 · 计算机科学 2018-04-10 Hassan Jaleel , Jeff S. Shamma

Robots and autonomous systems must interact with one another and their environment to provide high-quality services to their users. Dynamic game theory provides an expressive theoretical framework for modeling scenarios involving multiple…

机器人学 · 计算机科学 2021-08-10 Lasse Peters , David Fridovich-Keil , Vicenç Rubies-Royo , Claire J. Tomlin , Cyrill Stachniss

We study a class of stochastic dynamic games that exhibit strategic complementarities between players; formally, in the games we consider, the payoff of a player has increasing differences between her own state and the empirical…

计算机科学与博弈论 · 计算机科学 2010-12-13 Sachin Adlakha , Ramesh Johari

The two-players N strategies games quantized according to the Eisert-Lewenstein-Wilkens scheme [1] are considered. It is shown that in the case of maximal entanglement no nontrivial pure Nash equilibrium exists. The proof relies on simple…

量子物理 · 物理学 2014-02-25 Katarzyna Bolonek-Lasoń

This paper studies a class of strongly monotone games involving non-cooperative agents that optimize their own time-varying cost functions. We assume that the agents can observe other agents' historical actions and choose actions that best…

最优化与控制 · 数学 2023-09-04 Zifan Wang , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

We propose a generalization of Quantal Response Equilibrium (QRE) built on a simple premise: some actions are more focal than others. In our model, which we call the Focal Quantal Response Equilibrium (Focal QRE), each player plays a…

理论经济学 · 经济学 2026-05-26 Matthew Kovach , Gerelt Tserenjigmid