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AI research in chess has been primarily focused on producing stronger agents that can maximize the probability of winning. However, there is another aspect to chess that has largely gone unexamined: its aesthetic appeal. Specifically, there…

人工智能 · 计算机科学 2024-08-06 Kamron Zaidi , Michael Guerzhoy

The following general variant of deterministic Hats game is analyzed. Several sages wearing colored hats occupy the vertices of a graph, the $k$-th sage can have hats of one of $h(k)$ colors. Each sage tries to guess the color of his own…

组合数学 · 数学 2021-03-23 Konstantin Kokhas , Aleksei Latyshev , Vadim Retinsky

Differential game logic (dGL) is a logic for specifying and verifying properties of hybrid games, i.e. games that combine discrete, continuous, and adversarial dynamics. Unlike hybrid systems, hybrid games allow choices in the system…

计算机科学中的逻辑 · 计算机科学 2015-11-20 André Platzer

We study a quantum game played by two players with restricted multiple strategies. It is found that in this restricted quantum game Nash equilibrium does not always exist when the initial state is entangled. At the same time, we find that…

量子物理 · 物理学 2018-01-17 Bo Chen , Ying-Jun Ma , Gui Lu Long

Poker is a multiplayer game of imperfect information and has been widely studied in game theory. Many popular variants of poker (e.g., Texas Hold'em and Omaha) at the edge of modern game theory research are large games. However, even toy…

计算机科学与博弈论 · 计算机科学 2020-11-10 Amanda Metzner , Daniel Zwillinger

Machines are being increasingly used in decision-making processes, resulting in the realization that decisions need explanations. Unfortunately, an increasing number of these deployed models are of a 'black-box' nature where the reasoning…

人工智能 · 计算机科学 2023-11-07 Sopam Dasgupta

RA is a software package that couples machine learning with formal reasoning in an attempt to find the laws that generate the empirical data that it has been given access to. A brief outline of RA in its initial stage of development is…

计算机科学中的逻辑 · 计算机科学 2024-05-22 G. Pantelis

Traditional game theory assumes that the players in the game are aware of the rules of the game. However, in practice, often the players are unaware or have only partial knowledge about the game they are playing. They may also have…

计算机科学与博弈论 · 计算机科学 2014-02-20 Manoj Gopalkrishnan , Girish Varma

The human ability to learn rules and solve problems has been a central concern of cognitive science research since the field's earliest days. But we do not just follow rules and solve problems given to us by others: we modify those rules,…

Deep learning technology is making great progress in solving the challenging problems of artificial intelligence, hence machine learning based on artificial neural networks is in the spotlight again. In some areas, artificial intelligence…

人工智能 · 计算机科学 2020-02-27 Okyu Kwon

We introduce language-based games, a generalization of psychological games [6] that can also capture reference-dependent preferences [7]. The idea is to extend the domain of the utility function to situations, maximal consistent sets in…

计算机科学与博弈论 · 计算机科学 2013-10-28 Adam Bjorndahl , Joseph Y. Halpern , Rafael Pass

We consider games of chance played by someone with external capital that cannot be applied to the game and determine how this affects risk-adjusted optimal betting. Specifically, we focus on Kelly optimization as a metric, optimizing the…

投资组合管理 · 定量金融 2020-12-29 Stanislav Shalunov , Alexei Kitaev , Yakov Shalunov , Arseniy Akopyan

Lookahead search is perhaps the most natural and widely used game playing strategy. Given the practical importance of the method, the aim of this paper is to provide a theoretical performance examination of lookahead search in a wide…

计算机科学与博弈论 · 计算机科学 2012-06-19 Vahab Mirrokni , Nithum Thain , Adrian Vetta

To achieve general intelligence, agents must learn how to interact with others in a shared environment: this is the challenge of multiagent reinforcement learning (MARL). The simplest form is independent reinforcement learning (InRL), where…

We have seen numerous machine learning methods tackle the game of chess over the years. However, one common element in these works is the necessity of a finely optimized look ahead algorithm. The particular interest of this research lies…

人工智能 · 计算机科学 2020-07-07 Arman Maesumi

This paper studies sequential quantum games under the assumption that the moves of the players are drawn from groups and not just plain sets. The extra group structure makes possible to easily derive some very general results characterizing…

量子物理 · 物理学 2025-03-14 Theodore Andronikos

Developing reasoning capabilities in multimodal large language models (MLLMs) remains challenging. Motivated by literature suggesting that gameplay promotes transferable reasoning skills, we propose a novel post-training method, Visual Game…

计算机视觉与模式识别 · 计算机科学 2025-10-10 Yunfei Xie , Yinsong Ma , Shiyi Lan , Alan Yuille , Junfei Xiao , Chen Wei

The use of game theoretic methods for control in multiagent systems has been an important topic in recent research. Valid utility games in particular have been used to model real-world problems; such games have the convenient property that…

计算机科学与博弈论 · 计算机科学 2022-09-16 David Grimsman , Philip N. Brown , Jason R. Marden

It is frequently suggested that predictions made by game theory could be improved by considering computational restrictions when modeling agents. Under the supposition that players in a game may desire to balance maximization of payoff with…

计算机科学与博弈论 · 计算机科学 2015-03-13 Hubie Chen

As artificial intelligence becomes increasingly intelligent---in some cases, achieving superhuman performance---there is growing potential for humans to learn from and collaborate with algorithms. However, the ways in which AI systems…

人工智能 · 计算机科学 2020-07-15 Reid McIlroy-Young , Siddhartha Sen , Jon Kleinberg , Ashton Anderson