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Extensive-form games are a common model for multiagent interactions with imperfect information. In two-player zero-sum games, the typical solution concept is a Nash equilibrium over the unconstrained strategy set for each player. In many…

计算机科学与博弈论 · 计算机科学 2019-02-07 Trevor Davis , Kevin Waugh , Michael Bowling

In the last years, the DeepMind algorithm AlphaZero has become the state of the art to efficiently tackle perfect information two-player zero-sum games with a win/lose outcome. However, when the win/lose outcome is decided by a final score…

We study finite-horizon two-player zero-sum differential games with one-sided payoff information ($G$), where the informed player (P1) knows the game payoff, while P2 only has a public belief over a finite set of possible payoffs. In this…

计算机科学与博弈论 · 计算机科学 2026-05-06 Mukesh Ghimire , Zhe Xu , Yi Ren

Arguably, for the latter part of the late 20th and early 21st centuries, games have been seen as the drosophila of AI. Games are a set of exciting testbeds, whose solutions (in terms of identifying optimal players) would lead to machines…

人工智能 · 计算机科学 2024-06-28 Spyridon Samothrakis , Dennis J. N. J. Soemers , Damian Machlanski

In two-player zero-sum games, if both players minimize their average external regret, then the average of the strategy profiles converges to a Nash equilibrium. For n-player general-sum games, however, theoretical guarantees for regret…

计算机科学与博弈论 · 计算机科学 2013-05-02 Richard Gibson

We consider regret minimization in repeated games with a very large number of actions. Such games are inherent in the setting of AI Safety via Debate \cite{irving2018ai}, and more generally games whose actions are language-based. Existing…

计算机科学与博弈论 · 计算机科学 2024-07-12 Xinyi Chen , Angelica Chen , Dean Foster , Elad Hazan

This work addresses the classic machine learning problem of online prediction with expert advice. We consider the finite-horizon version of this zero-sum, two-person game. Using verification arguments from optimal control theory, we view…

机器学习 · 计算机科学 2020-06-30 Vladimir A. Kobzar , Robert V. Kohn , Zhilei Wang

In statistical decision theory involving a single decision-maker, an information structure is said to be better than another one if for any cost function involving a hidden state variable and an action variable which is restricted to be…

最优化与控制 · 数学 2021-01-07 Ian Hogeboom-Burr , Serdar Yüksel

This work tackles the complexities of multi-player scenarios in \emph{unknown games}, where the primary challenge lies in navigating the uncertainty of the environment through bandit feedback alongside strategic decision-making. We…

机器学习 · 计算机科学 2024-02-27 Yingru Li , Liangqi Liu , Wenqiang Pu , Hao Liang , Zhi-Quan Luo

The evaluation function for imperfect information games is always hard to define but owns a significant impact on the playing strength of a program. Deep learning has made great achievements these years, and already exceeded the top human…

人工智能 · 计算机科学 2019-06-10 Shiqi Gao , Fuminori Okuya , Yoshihiro Kawahara , Yoshimasa Tsuruoka

Infinite games with imperfect information are known to be undecidable unless the information flow is severely restricted. One fundamental decidable case occurs when there is a total ordering among players, such that each player has access…

计算机科学与博弈论 · 计算机科学 2016-07-19 Dietmar Berwanger , Anup Basil Mathew , Marie van den Bogaard

Achieving human-AI alignment in complex multi-agent games is crucial for creating trustworthy AI agents that enhance gameplay. We propose a method to evaluate this alignment using an interpretable task-sets framework, focusing on high-level…

A general model for zero-sum stochastic games with asymmetric information is considered. In this model, each player's information at each time can be divided into a common information part and a private information part. Under certain…

系统与控制 · 电气工程与系统科学 2019-12-25 Dhruva Kartik , Ashutosh Nayyar

This paper studies two-player zero-sum repeated Bayesian games in which every player has a private type that is unknown to the other player, and the initial probability of the type of every player is publicly known. The types of players are…

计算机科学与博弈论 · 计算机科学 2017-11-08 Lichun Li , Cedric Langbort , Jeff Shamma

Institutions and investors face the constant challenge of making accurate decisions and predictions regarding how best they should distribute their endowments. The problem of achieving an optimal outcome at minimal cost has been extensively…

多智能体系统 · 计算机科学 2021-02-09 Theodor Cimpeanu , Cedric Perret , The Anh Han

In this unprecedented era of technology-driven transformation, it becomes more critical than ever that we aggressively invest in developing robust artificial intelligence (AI) for wargaming in support of decision-making. By advancing…

机器学习 · 计算机科学 2024-02-12 Scotty Black , Christian Darken

We study the role of costly information in non-cooperative two-player games when an extrinsic third party information broker is introduced asymmetrically, allowing one player to obtain information about the other player's action. This…

计算机科学与博弈论 · 计算机科学 2020-02-20 Matthew J. Young , Andrew Belmonte

Artificial intelligence for card games has long been a popular topic in AI research. In recent years, complex card games like Mahjong and Texas Hold'em have been solved, with corresponding AI programs reaching the level of human experts.…

人工智能 · 计算机科学 2024-09-16 Chang Lei , Huan Lei

This manuscript establishes information-theoretic limitations for robustness of AI security and alignment by extending G\"odel's incompleteness theorem to AI. Knowing these limitations and preparing for the challenges they bring is…

人工智能 · 计算机科学 2026-05-18 Apostol Vassilev

We compare performance of the genetic algorithm and the counterfactual regret minimization algorithm in computing the near-equilibrium strategies in the simplified poker games. We focus on the von Neumann poker and the simplified version of…

计算机科学与博弈论 · 计算机科学 2018-05-24 Mikhail Goykhman