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A celebrated connection in the interface of online learning and game theory establishes that players minimizing swap regret converge to correlated equilibria (CE) -- a seminal game-theoretic solution concept. Despite the long history of…

计算机科学与博弈论 · 计算机科学 2024-11-05 Ioannis Anagnostides , Alkis Kalavasis , Tuomas Sandholm

We consider the problem of computing Nash equilibria in potential games where each player's strategy set is subject to private uncoupled constraints. This scenario is frequently encountered in real-world applications like road network…

计算机科学与博弈论 · 计算机科学 2024-02-13 Nikolas Patris , Stelios Stavroulakis , Fivos Kalogiannis , Rose Zhang , Ioannis Panageas

Noncooperative game-theoretic tools have been increasingly used to study many important resource allocation problems in communications, networking, smart grids, and portfolio optimization. In this paper, we consider a general class of…

计算机科学与博弈论 · 计算机科学 2016-11-17 Gesualdo Scutari , Francisco Facchinei , Jong-Shi Pang , Daniel P. Palomar

In recent years, two-player zero-sum games with multiple objectives have received a lot of interest as a model for the synthesis of complex reactive systems. In this framework, Player 1 wins if he can ensure that all objectives are…

计算机科学与博弈论 · 计算机科学 2018-07-03 Véronique Bruyère , Quentin Hautem , Jean-François Raskin

A fundamental open problem in monotone game theory is the computation of a specific generalized Nash equilibrium (GNE) among all the available ones, e.g. the optimal equilibrium with respect to a system-level objective. The existing GNE…

系统与控制 · 电气工程与系统科学 2022-03-16 Emilio Benenati , Wicak Ananduta , Sergio Grammatico

We study multiplayer reachability games played on a finite directed graph equipped with target sets, one for each player. In those reachability games, it is known that there always exists a Nash equilibrium (NE) and a subgame perfect…

计算机科学与博弈论 · 计算机科学 2019-07-15 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Nathan Thomasset

We consider two-player non zero-sum infinite duration games played on weighted graphs. We extend the notion of secure equilibrium introduced by Chatterjee et al., from the Boolean setting to this quantitative setting. As for the Boolean…

计算机科学与博弈论 · 计算机科学 2016-10-03 Véronique Bruyère , Noémie Meunier , Jean-François Raskin

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

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

We consider a class of hierarchical noncooperative $N$-player games where the $i$th player solves a parametrized stochastic mathematical program with equilibrium constraints (MPEC) with the caveat that the implicit form of the $i$th…

最优化与控制 · 数学 2022-02-23 Shisheng Cui , Uday V. Shanbhag

We analyse the computational complexity of finding Nash equilibria in simple stochastic multiplayer games. We show that restricting the search space to equilibria whose payoffs fall into a certain interval may lead to undecidability. In…

计算机科学与博弈论 · 计算机科学 2010-06-24 Michael Ummels , Dominik Wojtczak

We investigate the equilibrium stability and robustness in a class of moving target defense problems, in which players have both incomplete information and asymmetric cognition. We first establish a Bayesian Stackelberg game model for…

计算机科学与博弈论 · 计算机科学 2025-04-15 Hanzheng Zhang , Zhaoyang Cheng , Guanpu Chen , Karl Henrik Johansson

We study multi-player general-sum Markov games with one of the players designated as the leader and the other players regarded as followers. In particular, we focus on the class of games where the followers are myopic, i.e., they aim to…

机器学习 · 计算机科学 2021-12-28 Han Zhong , Zhuoran Yang , Zhaoran Wang , Michael I. Jordan

Computing the Nash equilibrium (NE) for N-player non-zerosum stochastic games is a formidable challenge. Currently, algorithmic methods in stochastic game theory are unable to compute NE for stochastic games (SGs) for settings in all but…

最优化与控制 · 数学 2021-03-25 David Mguni

We study the complexity of computing equilibria in binary public goods games on undirected graphs. In such a game, players correspond to vertices in a graph and face a binary choice of performing an action, or not. Each player's decision…

计算机科学与博弈论 · 计算机科学 2023-05-22 Max Klimm , Maximilian J. Stahlberg

Boolean games are an expressive and natural formalism through which to investigate problems of strategic interaction in multiagent systems. Although they have been widely studied, almost all previous work on Nash equilibria in Boolean games…

计算机科学与博弈论 · 计算机科学 2013-12-17 Egor Ianovski , Luke Ong

We introduce Boolean Observation Games, a subclass of multi-player finite strategic games with incomplete information and qualitative objectives. In Boolean observation games, each player is associated with a finite set of propositional…

计算机科学与博弈论 · 计算机科学 2024-02-09 Hans van Ditmarsch , Sunil Simon

We study the core of normal form games with a continuum of players and without side payments. We consider the weak-core concept, which is an approximation of the core, introduced by Weber, Shapley and Shubik. For payoffs depending on the…

理论经济学 · 经济学 2019-03-26 Youcef Askoura

Characterizing the performance of no-regret dynamics in multi-player games is a foundational problem at the interface of online learning and game theory. Recent results have revealed that when all players adopt specific learning algorithms,…

计算机科学与博弈论 · 计算机科学 2023-11-28 Ioannis Anagnostides , Alkis Kalavasis , Tuomas Sandholm , Manolis Zampetakis

We study the computational complexity of solving stochastic games with mean-payoff objectives. Instead of identifying special classes in which simple strategies are sufficient to play $\epsilon$-optimally, or form $\epsilon$-Nash…

计算机科学与博弈论 · 计算机科学 2024-05-16 Sougata Bose , Rasmus Ibsen-Jensen , Patrick Totzke