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This paper focuses on "tracing player knowledge" in educational games. Specifically, given a set of concepts or skills required to master a game, the goal is to estimate the likelihood with which the current player has mastery of each of…

Artificial Intelligence · Computer Science 2019-08-16 Pavan Kantharaju , Katelyn Alderfer , Jichen Zhu , Bruce Char , Brian Smith , Santiago Ontañón

Prediction is a well-studied machine learning task, and prediction algorithms are core ingredients in online products and services. Despite their centrality in the competition between online companies who offer prediction-based products,…

Computer Science and Game Theory · Computer Science 2019-05-08 Omer Ben-Porat , Moshe Tennenholtz

In multi-player card games such as Skat or Bridge, the early stages of the game, such as bidding, game selection, and initial card selection, are often more critical to the success of the play than refined middle- and end-game play. At the…

Artificial Intelligence · Computer Science 2025-12-18 Stefan Edelkamp

We propose a discrete time graphon game formulation on continuous state and action spaces using a representative player to study stochastic games with heterogeneous interaction among agents. This formulation admits both philosophical and…

Optimization and Control · Mathematics 2024-06-07 Fuzhong Zhou , Chenyu Zhang , Xu Chen , Xuan Di

In this paper, we address the problem of a two-player linear quadratic differential game with incomplete information, a scenario commonly encountered in multi-agent control, human-robot interaction (HRI), and approximation methods for…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Seyed Yousef Soltanian , Wenlong Zhang

Self-play, where the algorithm learns by playing against itself without requiring any direct supervision, has become the new weapon in modern Reinforcement Learning (RL) for achieving superhuman performance in practice. However, the…

Machine Learning · Computer Science 2020-07-10 Yu Bai , Chi Jin

This paper investigates the discrete-time asynchronous games in which noncooperative agents seek to minimize their individual cost functions. Building on the assumption of partial asynchronism, i.e., each agent updates at least once within…

Optimization and Control · Mathematics 2025-08-13 Zifan Wang , Xinlei Yi , Michael M. Zavlanos , Karl H. Johansson

Today's multiagent systems have grown too complex to rely on centralized controllers, prompting increasing interest in the design of distributed algorithms. In this respect, game theory has emerged as a valuable tool to complement more…

Systems and Control · Computer Science 2020-02-19 Rahul Chandan , Dario Paccagnan , Jason R. Marden

We consider extensive games with perfect information with well-founded game trees and study the problems of existence and of characterization of the sets of subgame perfect equilibria in these games. We also provide such characterizations…

Computer Science and Game Theory · Computer Science 2021-06-23 Krzysztof R. Apt , Sunil Simon

An agent trained within a closed system can master any desired capability, as long as the following three conditions hold: (a) it receives sufficiently informative and aligned feedback, (b) its coverage of experience/data is broad enough,…

Artificial Intelligence · Computer Science 2024-11-27 Tom Schaul

We study the quality of outcomes in repeated games when the population of players is dynamically changing and participants use learning algorithms to adapt to the changing environment. Game theory classically considers Nash equilibria of…

Computer Science and Game Theory · Computer Science 2020-05-25 Thodoris Lykouris , Vasilis Syrgkanis , Eva Tardos

As a schematic model of the complexity economic agents are confronted with, we introduce the ``SK-game'', a discrete time binary choice model inspired from mean-field spin-glasses. We show that even in a completely static environment,…

Statistical Mechanics · Physics 2024-08-27 Jerome Garnier-Brun , Michael Benzaquen , Jean-Philippe Bouchaud

While Artificial Intelligence has successfully outperformed humans in complex combinatorial games (such as chess and checkers), humans have retained their supremacy in social interactions that require intuition and adaptation, such as…

Computers and Society · Computer Science 2014-04-22 Fatimah Ishowo-Oloko , Jacob Crandall , Manuel Cebrian , Sherief Abdallah , Iyad Rahwan

This paper considers convex games involving multiple agents that aim to minimize their own cost functions using locally available information. A common assumption in the study of such games is that the agents are symmetric, meaning that…

Optimization and Control · Mathematics 2025-09-25 Zifan Wang , Xinlei Yi , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

We study a model of games that combines concurrency, imperfect information and stochastic aspects. Those are finite states games in which, at each round, the two players choose, simultaneously and independently, an action. Then a successor…

Formal Languages and Automata Theory · Computer Science 2011-08-31 Vincent Gripon , Olivier Serre

Most games have, or can be generalised to have, a number of parameters that may be varied in order to provide instances of games that lead to very different player experiences. The space of possible parameter settings can be seen as a…

Artificial Intelligence · Computer Science 2017-03-21 Jialin Liu , Julian Togelius , Diego Perez-Liebana , Simon M. Lucas

When learning in strategic environments, a key question is whether agents can overcome uncertainty about their preferences to achieve outcomes they could have achieved absent any uncertainty. Can they do this solely through interactions…

Computer Science and Game Theory · Computer Science 2024-11-21 Nivasini Ananthakrishnan , Nika Haghtalab , Chara Podimata , Kunhe Yang

Prior AI breakthroughs in complex games have focused on either the purely adversarial or purely cooperative settings. In contrast, Diplomacy is a game of shifting alliances that involves both cooperation and competition. For this reason,…

Artificial Intelligence · Computer Science 2021-05-04 Jonathan Gray , Adam Lerer , Anton Bakhtin , Noam Brown

Reinforcement Learning has recently surfaced as a very powerful tool to solve complex problems in the domain of board games, wherein an agent is generally required to learn complex strategies and moves based on its own experiences and…

Machine Learning · Computer Science 2022-08-24 Sidharth Malhotra , Girik Malik

We consider a scenario in which two reinforcement learning agents repeatedly play a matrix game against each other and update their parameters after each round. The agents' decision-making is transparent to each other, which allows each…

Artificial Intelligence · Computer Science 2021-08-23 Adrian Hutter