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Partial-monitoring games constitute a mathematical framework for sequential decision making problems with imperfect feedback: The learner repeatedly chooses an action, opponent responds with an outcome, and then the learner suffers a loss…

计算机科学与博弈论 · 计算机科学 2011-10-13 András Antos , Gábor Bartók , Dávid Pál , Csaba Szepesvári

We study $n$-player turn-based games played on a finite directed graph. For each play, the players have to pay a cost that they want to minimize. Instead of the well-known notion of Nash equilibrium (NE), we focus on the notion of subgame…

计算机科学与博弈论 · 计算机科学 2015-04-13 Thomas Brihaye , Véronique Bruyère , Noémie Meunier , Jean-François Raskin

After defining a pure-action profile in a nonatomic aggregative game, where players have specific compact convex pure-action sets and nonsmooth convex cost functions, as a square-integrable function, we characterize a Wardrop equilibrium as…

计算机科学与博弈论 · 计算机科学 2018-06-19 Paulin Jacquot , Cheng Wan

We study single-player extensive-form games with imperfect recall, such as the Sleeping Beauty problem or the Absentminded Driver game. For such games, two natural equilibrium concepts have been proposed as alternative solution concepts to…

计算机科学与博弈论 · 计算机科学 2023-05-30 Emanuel Tewolde , Caspar Oesterheld , Vincent Conitzer , Paul W. Goldberg

Weighted voting games are a popular class of coalitional games that are widely used to model real-life situations of decision-making. They can be applied, for instance, to analyze legislative processes in parliaments or voting in corporate…

计算机科学与博弈论 · 计算机科学 2025-08-20 Joanna Kaczmarek , Jörg Rothe

In this paper, a novel approach for the optimal combination of binary classifiers is proposed. The classifier combination problem is approached from a Game Theory perspective. The proposed framework of adapted weighted majority rules (WMR)…

机器学习 · 计算机科学 2013-02-05 Harris V. Georgiou , Michael E. Mavroforakis

Equilibrium solution concepts of normal-form games, such as Nash equilibria, correlated equilibria, and coarse correlated equilibria, describe the joint strategy profiles from which no player has incentive to unilaterally deviate. They are…

计算机科学与博弈论 · 计算机科学 2023-04-21 Luke Marris , Ian Gemp , Georgios Piliouras

For common notions of correlated equilibrium in extensive-form games, computing an optimal (e.g., welfare-maximizing) equilibrium is NP-hard. Other equilibrium notions -- communication (Forges 1986) and certification (Forges & Koessler…

计算机科学与博弈论 · 计算机科学 2022-12-02 Brian Hu Zhang , Tuomas Sandholm

We study the complexity of solving two-player infinite duration games played on a fixed finite graph, where the control of a node is not predetermined but rather assigned randomly. In classic random-turn games, control of each node is…

计算机科学与博弈论 · 计算机科学 2026-01-13 Sarvin Bahmani , Rasmus Ibsen-Jensen , Soumyajit Paul , Sven Schewe , Friedrich Slivovsky , Qiyi Tang , Dominik Wojtczak , Shufang Zhu

In complexity theory, gap-preserving reductions play a crucial role in studying hardness of approximation and in analyzing the relative complexity of multiprover interactive proof systems. In the quantum setting, multiprover interactive…

量子物理 · 物理学 2025-09-01 Laura Mančinska , Pieter Spaas , Taro Spirig , Matthijs Vernooij

We prove the existence and computability of optimal strategies in weighted limit games, zero-sum infinite-duration games with a B\"uchi-style winning condition requiring to produce infinitely many play prefixes that satisfy a given regular…

计算机科学与博弈论 · 计算机科学 2020-09-08 Aniello Murano , Sasha Rubin , Martin Zimmermann

A major open question in algorithmic game theory is whether normal-form correlated equilibria (NFCE) can be computed efficiently in succinct games such as extensive-form games [DFF+25,6PR24,FP23,HvS08,VSF08,PR08]. Motivated by this…

计算机科学与博弈论 · 计算机科学 2025-07-16 Vincent Cheval , Florian Horn , Soumyajit Paul , Mahsa Shirmohammadi

Iterated regret minimization has been introduced recently by J.Y. Halpern and R. Pass in classical strategic games. For many games of interest, this new solution concept provides solutions that are judged more reasonable than solutions…

计算机科学与博弈论 · 计算机科学 2015-05-18 Emmanuel Filiot , Tristan Le Gall , Jean-François Raskin

We study the problem of no-regret learning algorithms for general monotone and smooth games and their last-iterate convergence properties. Specifically, we investigate the problem under bandit feedback and strongly uncoupled dynamics, which…

计算机科学与博弈论 · 计算机科学 2024-08-19 Jing Dong , Baoxiang Wang , Yaoliang Yu

We present a fully polynomial-time approximation scheme (FPTAS) for computing equilibria in congestion games, under smoothed running-time analysis. More precisely, we prove that if the resource costs of a congestion game are randomly…

计算机科学与博弈论 · 计算机科学 2024-05-21 Yiannis Giannakopoulos

The remoteness from a simple game to a weighted game can be measured by the concept of the dimension or the more general Boolean dimension. It is known that both notions can be exponential in the number of voters. For complete simple games…

计算机科学与博弈论 · 计算机科学 2021-01-26 Sascha Kurz

Simulation and bisimulation metrics for stochastic systems provide a quantitative generalization of the classical simulation and bisimulation relations. These metrics capture the similarity of states with respect to quantitative…

计算机科学与博弈论 · 计算机科学 2015-07-01 Krishnendu Chatterjee , Luca de Alfaro , Rupak Majumdar , Vishwanath Raman

We give a tighter lifting theorem for security games in the quantum random oracle model. At the core of our main result lies a novel measure-and-reprogram framework that we call coherent reprogramming. This framework gives a tighter lifting…

量子物理 · 物理学 2025-09-15 Alexandru Cojocaru , Juan Garay , Qipeng Liu , Fang Song

We consider finite-state Markov decision processes with the combined Energy-MeanPayoff objective. The controller tries to avoid running out of energy while simultaneously attaining a strictly positive mean payoff in a second dimension. We…

计算机科学与博弈论 · 计算机科学 2025-10-13 Mohan Dantam , Richard Mayr

In this paper, we consider the $n \times n$ two-payer zero-sum repeated game in which one player (player X) employs the popular Hedge (also called multiplicative weights update) learning algorithm while the other player (player Y) adopts…

动力系统 · 数学 2024-03-08 Xinxiang Guo , Yifen Mu , Xiaoguang Yang