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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

In this paper we investigate the Follow the Regularized Leader dynamics in sequential imperfect information games (IIG). We generalize existing results of Poincar\'e recurrence from normal-form games to zero-sum two-player imperfect…

Graph games provide the foundation for modeling and synthesizing reactive processes. In the synthesis of stochastic reactive processes, the traditional model is perfect-information stochastic games, where some transitions of the game graph…

Logic in Computer Science · Computer Science 2016-04-22 Krishnendu Chatterjee , Laurent Doyen

We study the problem of adapting to a known sub-rational opponent during online play while remaining robust to rational opponents. We focus on large imperfect-information (zero-sum) games, which makes it impossible to inspect the whole game…

Computer Science and Game Theory · Computer Science 2025-02-11 David Milec , Vojtěch Kovařík , Viliam Lisý

Partially Observable Monte-Carlo Planning (POMCP) is a powerful online algorithm able to generate approximate policies for large Partially Observable Markov Decision Processes. The online nature of this method supports scalability by…

Artificial Intelligence · Computer Science 2021-04-29 Giulio Mazzi , Alberto Castellini , Alessandro Farinelli

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

To learn good joint policies for multi-agent collaboration with imperfect information remains a fundamental challenge. While for two-player zero-sum games, coordinate-ascent approaches (optimizing one agent's policy at a time, e.g.,…

Machine Learning · Computer Science 2020-12-08 Yuandong Tian , Qucheng Gong , Tina Jiang

Traditional search algorithms have issues when applied to games of imperfect information where the number of possible underlying states and trajectories are very large. This challenge is particularly evident in trick-taking card games.…

Artificial Intelligence · Computer Science 2024-04-23 Douglas Rebstock , Christopher Solinas , Nathan R. Sturtevant , Michael Buro

Bayesian optimal experiments that maximize the information gained from collected data are critical to efficiently identify behavioral models. We extend a seminal method for designing Bayesian optimal experiments by introducing two…

Applications · Statistics 2025-03-19 Stefano Balietti , Brennan Klein , Christoph Riedl

We present an algorithm for computing evolutionarily stable strategies (ESSs) in symmetric perfect-recall extensive-form games of imperfect information. Our main algorithm is for two-player games, and we describe how it can be extended to…

Computer Science and Game Theory · Computer Science 2025-12-15 Sam Ganzfried

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…

One of the most complex tasks of decision making and planning is to gather information. This task becomes even more complex when the state is high-dimensional and its belief cannot be expressed with a parametric distribution. Although the…

Artificial Intelligence · Computer Science 2022-09-26 Gilad Rotman , Vadim Indelman

For a two-player imperfect-information extensive-form game (IIEFG) with $K$ time steps and a player action space of size $U$, the game tree complexity is $U^{2K}$, causing existing IIEFG solvers to struggle with large or infinite $(U,K)$,…

Computer Science and Game Theory · Computer Science 2026-03-03 Mukesh Ghimire , Lei Zhang , Zhe Xu , Yi Ren

The Fisher information matrix provides a way to measure the amount of information given observed data based on parameters of interest. Many applications of the FIM exist in statistical modeling, system identification, and parameter…

Computation · Statistics 2021-04-16 Xuan Wu

We present a new algorithm for radiative transfer-based on a statistical Monte Carlo approach-that does not suffer from teleportation effects, on the one hand, and yields smooth results, on the other hand. Implicit Monte Carlo (IMC)…

Instrumentation and Methods for Astrophysics · Physics 2022-01-12 Elad Steinberg , Shay I. Heizler

To determine the value of perfect information in an influence diagram, one needs first to modify the diagram to reflect the change in information availability, and then to compute the optimal expected values of both the original diagram and…

Artificial Intelligence · Computer Science 2013-03-08 Nevin Lianwen Zhang , Runping Qi , David L. Poole

In this paper, we extend the Descent framework, which enables learning and planning in the context of two-player games with perfect information, to the framework of stochastic games. We propose two ways of doing this, the first way…

Artificial Intelligence · Computer Science 2023-02-10 Quentin Cohen-Solal , Tristan Cazenave

We use the technique of information relaxation to develop a duality-driven iterative approach to obtaining and improving confidence interval estimates for the true value of finite-horizon stochastic dynamic programming problems. We show…

Optimization and Control · Mathematics 2020-07-29 Nan Chen , Xiang Ma , Yanchu Liu , Wei Yu

Estimating high-quality images while also quantifying their uncertainty are two desired features in an image reconstruction algorithm for solving ill-posed inverse problems. In this paper, we propose plug-and-play Monte Carlo (PMC) as a…

Image and Video Processing · Electrical Eng. & Systems 2024-08-29 Yu Sun , Zihui Wu , Yifan Chen , Berthy T. Feng , Katherine L. Bouman

End-to-end motion planning is promising for simplifying complex autonomous driving pipelines. However, challenges such as scene understanding and effective prediction for decision-making continue to present substantial obstacles to its…

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