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Parity games have important practical applications in formal verification and synthesis, especially to solve the model-checking problem of the modal mu-calculus. They are also interesting from the theory perspective, because they are widely…

Logic in Computer Science · Computer Science 2018-07-30 Tom van Dijk

Conventional Mean-field games/control study the behavior of a large number of rational agents moving in the Euclidean spaces. In this work, we explore the mean-field games on Riemannian manifolds. We formulate the mean-field game Nash…

Optimization and Control · Mathematics 2023-04-26 Jiajia Yu , Rongjie Lai , Wuchen Li , Stanley Osher

We consider a repeated sequential game between a learner, who plays first, and an opponent who responds to the chosen action. We seek to design strategies for the learner to successfully interact with the opponent. While most previous…

Machine Learning · Computer Science 2020-07-13 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

We consider the problem of learning by demonstration from agents acting in unknown stochastic Markov environments or games. Our aim is to estimate agent preferences in order to construct improved policies for the same task that the agents…

Machine Learning · Computer Science 2014-08-12 Aristide Tossou , Christos Dimitrakakis

We consider the problem of learning by demonstration from agents acting in unknown stochastic Markov environments or games. Our aim is to estimate agent preferences in order to construct improved policies for the same task that the agents…

Machine Learning · Statistics 2013-07-16 Aristide C. Y. Tossou , Christos Dimitrakakis

This article concerns the resolution of impartial combinatorial games, and in particular games that can be split in sums of independent positions. We prove that in order to compute the outcome of a sum of independent positions, it is always…

Combinatorics · Mathematics 2010-11-29 Julien Lemoine , Simon Viennot

For normal play, impartial games, we define penults as those positions in which every option results in an immediate win for the other player. We explore the number of tokens in penults of two positional games, Impartial Tic and Impartial…

Combinatorics · Mathematics 2024-08-06 Boris Alexeev , Paul Ellis , Michael Richter , Thotsaporn Aek Thanatipanonda

Large Language Models (LLMs) demonstrate significant potential in multi-agent negotiation tasks, yet evaluation in this domain remains challenging due to a lack of robust and generalizable benchmarks. Abdelnabi et al. (2024) introduce a…

Machine Learning · Computer Science 2026-02-24 Jorge Carrasco Pollo , Ioannis Kapetangeorgis , Joshua Rosenthal , John Hua Yao

Active learning aims to reduce labeling efforts by selectively asking humans to annotate the most important data points from an unlabeled pool and is an example of human-machine interaction. Though active learning has been extensively…

Machine Learning · Computer Science 2020-01-31 Hongjing Zhang , S. S. Ravi , Ian Davidson

This thesis presents some geometric insights into three different types of two player prediction games -- namely general learning task, prediction with expert advice, and online convex optimization. These games differ in the nature of the…

Machine Learning · Computer Science 2018-05-23 Parameswaran Kamalaruban

In recent years, trends towards studying simulated games have gained momentum in the fields of artificial intelligence, cognitive science, psychology, and neuroscience. The intersections of these fields have also grown recently, as…

Artificial Intelligence · Computer Science 2021-02-26 Nicholas Watters , Joshua Tenenbaum , Mehrdad Jazayeri

We provide a unifying framework for the design and analysis of multicalibrated predictors. By placing the multicalibration problem in the general setting of multi-objective learning -- where learning guarantees must hold simultaneously over…

Machine Learning · Computer Science 2023-09-21 Nika Haghtalab , Michael I. Jordan , Eric Zhao

We introduce a new model of interactive learning in which an expert examines the predictions of a learner and partially fixes them if they are wrong. Although this kind of feedback is not i.i.d., we show statistical generalization bounds on…

Machine Learning · Computer Science 2018-04-11 Sanjoy Dasgupta , Michael Luby

The computation of a solution concept of a cooperative game usually employs values of all coalitions. However, in some applications, the values of some of the coalitions might be unknown due to high costs associated with their determination…

Computer Science and Game Theory · Computer Science 2023-03-31 Martin Cerny , Michel Grabisch

Games have a long history as benchmarks for progress in artificial intelligence. Approaches using search and learning produced strong performance across many perfect information games, and approaches using game-theoretic reasoning and…

We introduce a novel approach to hierarchical reinforcement learning for Linearly-solvable Markov Decision Processes (LMDPs) in the infinite-horizon average-reward setting. Unlike previous work, our approach allows learning low-level and…

Machine Learning · Computer Science 2024-07-10 Guillermo Infante , Anders Jonsson , Vicenç Gómez

We introduce a mean field game with rank-based reward: competing agents optimize their effort to achieve a goal, are ranked according to their completion time, and paid a reward based on their relative rank. First, we propose a tractable…

Optimization and Control · Mathematics 2017-08-07 Marcel Nutz , Yuchong Zhang

Evaluation of students' performance for the completion of courses has been a major problem for both students and faculties during the work-from-home period in this COVID pandemic situation. To this end, this paper presents an in-depth…

Machine Learning · Computer Science 2020-09-08 Vipul Bansal , Himanshu Buckchash , Balasubramanian Raman

Existing reasoning evaluation paradigms suffer from different limitations: fixed benchmarks are increasingly saturated and vulnerable to contamination, while preference-based evaluations rely on subjective judgments. We argue that a core…

Artificial Intelligence · Computer Science 2026-05-19 Baoqing Yue , Zihan Zhu , Yutong Han , Brian Fan , Qian Sun , Jichen Feng , Hufei Yang , Yifan Zhang , Mengdi Wang

We present a computational formulation for the approximate version of several variational inequality problems, investigating their computational complexity and establishing PPAD-completeness. Examining applications in computational game…

Computational Complexity · Computer Science 2024-11-08 Bruce M. Kapron , Koosha Samieefar
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