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It is well known that a non-cooperative game may have multiple equilibria. In this paper we consider the efficiency of games, measured by the ratio between the aggregate payoff over all Nash equilibria and that over all admissible controls.…

Computer Science and Game Theory · Computer Science 2025-08-20 Jianfeng Zhang

Chess engines passed human strength years ago, but they still don't play like humans. A grandmaster under clock pressure blunders in ways a club player on a hot streak never would. Conventional engines capture none of this. This paper…

Artificial Intelligence · Computer Science 2026-03-06 Diego Armando Resendez Prado

Current chess rating systems update ratings incrementally and may not always accurately reflect a player's true strength at all times, especially for rapidly improving players or very rusty players. To overcome this, we explore a method to…

Machine Learning · Computer Science 2025-04-04 Michael Omori , Prasad Tadepalli

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…

Artificial Intelligence · Computer Science 2020-07-15 Reid McIlroy-Young , Siddhartha Sen , Jon Kleinberg , Ashton Anderson

In this paper we apply model predictive control (MPC), rollout, and reinforcement learning (RL) methodologies to computer chess. We introduce a new architecture for move selection, within which available chess engines are used as…

Artificial Intelligence · Computer Science 2024-09-11 Atharva Gundawar , Yuchao Li , Dimitri Bertsekas

We introduce LLM CHESS, an evaluation framework designed to probe the generalization of reasoning and instruction-following abilities in large language models (LLMs) through extended agentic interaction in the domain of chess. We rank over…

Artificial Intelligence · Computer Science 2025-12-02 Sai Kolasani , Maxim Saplin , Nicholas Crispino , Kyle Montgomery , Jared Quincy Davis , Matei Zaharia , Chi Wang , Chenguang Wang

We introduce a quantitative framework for separating skill and chance in games by modeling them as complementary sources of control over stochastic decision trees. We define the Skill-Luck Index S(G) in [-1, 1] by decomposing game outcomes…

Artificial Intelligence · Computer Science 2025-11-18 David H. Silver

This paper presents a data-driven statistical framework to quantify the role of skill in games, addressing the long-standing question of whether success in a game is predominantly driven by skill or chance. We analyze player level data from…

Computer Science and Game Theory · Computer Science 2025-05-28 Tathagata Banerjee , Anushka De , Subhamoy Maitra , Diganta Mukherjee

This report presents Giraffe, a chess engine that uses self-play to discover all its domain-specific knowledge, with minimal hand-crafted knowledge given by the programmer. Unlike previous attempts using machine learning only to perform…

Artificial Intelligence · Computer Science 2015-09-15 Matthew Lai

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…

Computer Science and Game Theory · Computer Science 2022-09-16 David Grimsman , Philip N. Brown , Jason R. Marden

A checkers-like model game with a simplified set of rules is studied through extensive simulations of agents with different expertise and strategies. The introduction of complementary strategies, in a quite general way, provides a tool to…

Artificial Intelligence · Computer Science 2016-08-26 J. Quetzalcóatl Toledo-Marín , Rogelio Díaz-Méndez , Marcelo del Castillo Mussot

Powerful artificial intelligence systems are often used in settings where they must interact with agents that are computationally much weaker, for example when they work alongside humans or operate in complex environments where some tasks…

Artificial Intelligence · Computer Science 2024-05-09 Karim Hamade , Reid McIlroy-Young , Siddhartha Sen , Jon Kleinberg , Ashton Anderson

In this work the properties of minority games containing agents which try to winning all the time are studied by means of computational simulations. We have considered several ways of introducing above the rules clever players using…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. R. L. de Almeida , J. Menche

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…

Artificial Intelligence · Computer Science 2024-08-06 Kamron Zaidi , Michael Guerzhoy

Regret minimization is a general approach to online optimization which plays a crucial role in many algorithms for approximating Nash equilibria in two-player zero-sum games. The literature mainly focuses on solving individual games in…

Computer Science and Game Theory · Computer Science 2025-04-29 David Sychrovský , Martin Schmid , Michal Šustr , Michael Bowling

In each round of a Swiss-system tournament, players of similar score are paired against each other. An intentional early loss therefore might lead to weaker opponents in later rounds and thus to a better final tournament result - a…

Computer Science and Game Theory · Computer Science 2023-02-22 Ágnes Cseh , Pascal Führlich , Pascal Lenzner

Current schemes to detect cheating in online games often build on the assumption that the applied cheat takes actions that are drastically different from normal behavior. For instance, an Aimbot for a first-person shooter is used by an…

Cryptography and Security · Computer Science 2020-04-28 Tim Witschel , Christian Wressnegger

Contest participants often have strong incentives to engage in cheating. Sanctions serve as a common deterrent against such conduct. Often, other agents on the contestant's team (e.g., a coach of an athlete) or a company (a manager of an…

General Economics · Economics 2025-11-27 Qin Wu , Ralph-C Bayer

This paper demonstrates the use of genetic algorithms for evolving a grandmaster-level evaluation function for a chess program. This is achieved by combining supervised and unsupervised learning. In the supervised learning phase the…

Neural and Evolutionary Computing · Computer Science 2017-11-21 Eli David , H. Jaap van den Herik , Moshe Koppel , Nathan S. Netanyahu

In this paper we demonstrate how genetic algorithms can be used to reverse engineer an evaluation function's parameters for computer chess. Our results show that using an appropriate expert (or mentor), we can evolve a program that is on…

Neural and Evolutionary Computing · Computer Science 2017-11-21 Eli David , Moshe Koppel , Nathan S. Netanyahu