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We study dynamic finite-player and mean-field stochastic games within the framework of Markov perfect equilibria (MPE). Our focus is on discrete time and space structures without monotonicity. Unlike their continuous-time analogues,…

最优化与控制 · 数学 2025-09-29 Felix Höfer , H. Mete Soner , Atilla Yılmaz

We prove the existence of Bayesian Nash Equilibrium (BNE) of general-sum Bayesian games with continuous types and finite actions under the conditions that the utility functions and the prior type distributions are continuous concerning the…

计算机科学与博弈论 · 计算机科学 2021-02-25 Linan Huang , Quanyan Zhu

We study a network congestion game of discrete-time dynamic traffic of atomic agents with a single origin-destination pair. Any agent freely makes a dynamic decision at each vertex (e.g., road crossing) and traffic is regulated with given…

计算机科学与博弈论 · 计算机科学 2017-05-05 Zhigang Cao , Bo Chen , Xujin Chen , Changjun Wang

Static potential games are non-cooperative games which admit a fictitious function, also referred to as a potential function, such that the minimizers of this function constitute a subset (or a refinement) of the Nash equilibrium strategies…

最优化与控制 · 数学 2021-03-08 Aathira Prasad , Puduru Viswanadha Reddy

We study the open question of how players learn to play a social optimum pure-strategy Nash equilibrium (PSNE) through repeated interactions in general-sum coordination games. A social optimum of a game is the stable Pareto-optimal state…

计算机科学与博弈论 · 计算机科学 2023-07-26 Duong Nguyen , Langford White , Hung Nguyen

Many interactions result in a socially suboptimal equilibrium, or in a non-equilibrium state, from which arriving at an equilibrium through simple dynamics can be impossible of too long. Aiming to achieve a certain equilibrium, we persuade,…

计算机科学与博弈论 · 计算机科学 2023-12-07 Gleb Polevoy , Jonas Schweichhart

Noncooperative game theory provides a normative framework for analyzing strategic interactions. However, for the toolbox to be operational, the solutions it defines will have to be computed. In this paper, we provide a single reduction that…

计算机科学与博弈论 · 计算机科学 2007-05-23 Vincent Conitzer , Tuomas Sandholm

We propose the Subgame Credible Nash Equilibrium (SCNE), a refinement of subgame perfect Nash equilibrium (SPNE) for multi-stage games. SCNE retains the internal credibility requirement of SPNE -- equilibrium behavior in every subgame --…

理论经济学 · 经济学 2025-11-04 Mehmet Mars Seven

Evolutionarily stable strategy (ESS) is an important solution concept in game theory which has been applied frequently to biological models. Informally an ESS is a strategy that if followed by the population cannot be taken over by a…

计算机科学与博弈论 · 计算机科学 2019-01-18 Sam Ganzfried

A binary constraint system game is a two-player one-round non-local game defined by a system of Boolean constraints. The game has a perfect quantum strategy if and only if the constraint system has a quantum satisfying assignment [R. Cleve…

量子物理 · 物理学 2013-11-05 Zhengfeng Ji

We study a finite-horizon two-person zero-sum risk-sensitive stochastic game for continuous-time Markov chains and Borel state and action spaces, in which payoff rates, transition rates and terminal reward functions are allowed to be…

最优化与控制 · 数学 2021-03-09 Junyu Zhang , Xianping Guo , Li Xia

We study the problem of finding robust equilibria in multiplayer concurrent games with mean payoff objectives. A $(k,t)$-robust equilibrium is a strategy profile such that no coalition of size $k$ can improve the payoff of one its member by…

计算机科学与博弈论 · 计算机科学 2016-02-02 Romain Brenguier

Games with continuous strategy sets arise in several machine learning problems (e.g. adversarial learning). For such games, simple no-regret learning algorithms exist in several cases and ensure convergence to coarse correlated equilibria…

计算机科学与博弈论 · 计算机科学 2019-03-05 Pier Giuseppe Sessa , Maryam Kamgarpour , Andreas Krause

Equilibria of realistic multiplayer games constitute a key solution concept both in practical applications, such as online advertising auctions and electricity markets, and in analytical frameworks used to study strategic voting in…

计算机科学与博弈论 · 计算机科学 2025-11-18 Jakub Černý , Shuvomoy Das Gupta , Christian Kroer

Similar to the role of Markov decision processes in reinforcement learning, Stochastic Games (SGs) lay the foundation for the study of multi-agent reinforcement learning (MARL) and sequential agent interactions. In this paper, we derive…

计算机科学与博弈论 · 计算机科学 2023-01-12 Xiaotie Deng , Ningyuan Li , David Mguni , Jun Wang , Yaodong Yang

Shared-constraint games are noncooperative $N$-player games where players are coupled through a common coupling constraint. It is known that such games admit two kinds of equilibria -- generalized Nash equilibria (GNE) and variational…

计算机科学与博弈论 · 计算机科学 2019-08-05 Ankur A. Kulkarni

We study the problem of computing optimal correlated equilibria (CEs) in infinite-horizon multi-player stochastic games, where correlation signals are provided over time. In this setting, optimal CEs require history-dependent policies; this…

计算机科学与博弈论 · 计算机科学 2025-06-10 Jiarui Gan , Rupak Majumdar

We study the problem of finding Stackelberg equilibria in games with a massive number of players. So far, the only known game instances in which the problem is solved in polynomial time are some particular congestion games. However, a…

计算机科学与博弈论 · 计算机科学 2019-05-31 Alberto Marchesi , Matteo Castiglioni , Nicola Gatti

We study stochastic games with energy-parity objectives, which combine quantitative rewards with a qualitative $\omega$-regular condition: The maximizer aims to avoid running out of energy while simultaneously satisfying a parity condition.…

计算机科学与博弈论 · 计算机科学 2021-01-19 Richard Mayr , Sven Schewe , Patrick Totzke , Dominik Wojtczak

The distributed computation of equilibria and optima has seen growing interest in a broad collection of networked problems. We consider the computation of equilibria of convex stochastic Nash games characterized by a possibly nonconvex…

最优化与控制 · 数学 2019-08-05 Jinlong Lei , Uday V. Shanbhag