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The recent observation of neural power-law scaling relations has made a significant impact in the field of deep learning. A substantial amount of attention has been dedicated as a consequence to the description of scaling laws, although…

Machine Learning · Computer Science 2023-02-14 Oren Neumann , Claudius Gros

For zero-sum two-player continuous-time games with integral payoff and incomplete information on one side, one shows that the optimal strategy of the informed player can be computed through an auxiliary optimization problem over some…

Probability · Mathematics 2008-10-02 Pierre Cardaliaguet , Catherine Rainer

Goal-achieving problems are puzzles that set up a specific situation with a clear objective. An example that is well-studied is the category of life-and-death (L&D) problems for Go, which helps players hone their skill of identifying region…

Artificial Intelligence · Computer Science 2024-12-17 Chung-Chin Shih , Ti-Rong Wu , Ting Han Wei , I-Chen Wu

This paper studies algorithmic decision-making under human's strategic behavior, where a decision maker uses an algorithm to make decisions about human agents, and the latter with information about the algorithm may exert effort…

Computer Science and Game Theory · Computer Science 2024-09-16 Tian Xie , Xuwei Tan , Xueru Zhang

Two-player zero-sum repeated games are well understood. Computing the value of such a game is straightforward. Additionally, if the payoffs are dependent on a random state of the game known to one, both, or neither of the players, the…

Information Theory · Computer Science 2009-11-05 Paul Cuff

What happen in the brain when human beings play games with computers? Here a simple zero-sum game was conducted to investigate how people make decision via their brain even they know that their opponent is a computer. There are two choices…

Neurons and Cognition · Quantitative Biology 2017-07-06 Jia Quan Shen , Luo-Luo Jiang

Purpose: In recent years Monte-Carlo sampling methods, such as Monte Carlo tree search, have achieved tremendous success in model free reinforcement learning. A combination of the so called upper confidence bounds policy to preserve the…

Artificial Intelligence · Computer Science 2011-10-24 Boris Mitavskiy , Jonathan Rowe , Chris Cannings

We study best-response type learning dynamics for zero-sum polymatrix games under two information settings. The two settings are distinguished by the type of information that each player has about the game and their opponents' strategy. The…

Optimization and Control · Mathematics 2025-08-13 Fathima Zarin Faizal , Asuman Ozdaglar , Martin J. Wainwright

Training large language model (LLM) agents for adversarial games is often driven by episodic objectives such as win rate. In long-horizon settings, however, payoffs are shaped by latent strategic externalities that evolve over time, so…

Machine Learning · Computer Science 2026-02-10 Boyang Xia , Weiyou Tian , Qingnan Ren , Jiaqi Huang , Jie Xiao , Shuo Lu , Kai Wang , Lynn Ai , Eric Yang , Bill Shi

We define a class of zero-sum games with combinatorial structure, where the best response problem of one player is to maximize a submodular function. For example, this class includes security games played on networks, as well as the problem…

Computer Science and Game Theory · Computer Science 2017-12-04 Bryan Wilder

Go has long been considered as a testbed for artificial intelligence. By introducing certain quantum features, such as superposition and collapse of wavefunction, we experimentally demonstrate a quantum version of Go by using correlated…

We consider two-player zero-sum games on graphs. These games can be classified on the basis of the information of the players and on the mode of interaction between them. On the basis of information the classification is as follows: (a)…

Computer Science and Game Theory · Computer Science 2015-05-19 Krishnendu Chatterjee , Laurent Doyen , Hugo Gimbert , Thomas A. Henzinger

AlphaZero, an approach to reinforcement learning that couples neural networks and Monte Carlo tree search (MCTS), has produced state-of-the-art strategies for traditional board games like chess, Go, shogi, and Hex. While researchers and…

Artificial Intelligence · Computer Science 2022-11-29 Charles Lovering , Jessica Zosa Forde , George Konidaris , Ellie Pavlick , Michael L. Littman

Reinforcement learning (RL) agents achieve remarkable performance but remain far less learning-efficient than humans. While RL agents require extensive self-play games to extract useful signals, humans often need only a few games, improving…

Machine Learning · Computer Science 2026-02-25 Yun-Jui Tsai , Wei-Yu Chen , Yan-Ru Ju , Yu-Hung Chang , Ti-Rong Wu

Reinforcement learning from self-play has recently reported many successes. Self-play, where the agents compete with themselves, is often used to generate training data for iterative policy improvement. In previous work, heuristic rules are…

Machine Learning · Computer Science 2020-09-15 Yuanyi Zhong , Yuan Zhou , Jian Peng

We study online learning settings in which experts act strategically to maximize their influence on the learning algorithm's predictions by potentially misreporting their beliefs about a sequence of binary events. Our goal is twofold.…

Machine Learning · Computer Science 2020-07-02 Rupert Freeman , David M. Pennock , Chara Podimata , Jennifer Wortman Vaughan

Zero Determinant (ZD) strategies are a new class of probabilistic and conditional strategies that are able to unilaterally set the expected payoff of an opponent in iterated plays of the Prisoner's Dilemma irrespective of the opponent's…

Populations and Evolution · Quantitative Biology 2013-08-07 Christoph Adami , Arend Hintze

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 model-based and model-free policy optimization in a class of nonzero-sum stochastic dynamic games called linear quadratic (LQ) deep structured games. In such games, players interact with each other through a set of weighted…

Computer Science and Game Theory · Computer Science 2020-12-15 Masoud Roudneshin , Jalal Arabneydi , Amir G. Aghdam

Matching algorithms have demonstrated great success in several practical applications, but they often require centralized coordination and plentiful information. In many modern online marketplaces, agents must independently seek out and…

Computer Science and Game Theory · Computer Science 2025-01-14 Vade Shah , Bryce L. Ferguson , Jason R. Marden