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Though competitive analysis has been a very useful performance measure for the quality of online algorithms, it is recognized that it sometimes fails to distinguish between algorithms of different quality in practice. A number of…

数据结构与算法 · 计算机科学 2015-03-19 Joan Boyar , Kim S. Larsen , Abyayananda Maiti

The aim of this paper is to provide a different perspective in the study of the rate of convergence of the chaos game algorithm to the attractor of an iterated function system. We prove that for any function $\psi$ with $\lim\limits_{\ve\to…

动力系统 · 数学 2026-05-18 Krzysztof Caban , Filip Strobin

In this work, we deal with the problem of rating in sports, where the skills of the players/teams are inferred from the observed outcomes of the games. Our focus is on the online rating algorithms which estimate the skills after each new…

机器学习 · 统计学 2021-04-30 Leszek Szczecinski , Raphaëlle Tihon

In this paper we survey the computational time complexity of assorted simple stochastic game problems, and we give an overview of the best known algorithms associated with each problem.

计算复杂性 · 计算机科学 2007-05-23 Jonas Dieckelmann

Gimbert and Horn gave an algorithm for solving simple stochastic games with running time O(r! n) where n is the number of positions of the simple stochastic game and r is the number of its coin toss positions. Chatterjee et al. pointed out…

计算机科学与博弈论 · 计算机科学 2012-03-21 Rasmus Ibsen-Jensen , Peter Bro Miltersen

Tic Tac Toe is amongst the most well-known games. It has already been shown that it is a biased game, giving more chances to win for the first player leaving only a draw or a loss as possibilities for the opponent, assuming both the players…

人工智能 · 计算机科学 2023-03-15 Bhavuk Kalra

Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview of the area to encourage further research. In particular, we…

计算复杂性 · 计算机科学 2009-09-25 Erik D. Demaine , Robert A. Hearn

Stochastic games are a classical model in game theory in which two opponents interact and the environment changes in response to the players' behavior. The central solution concepts for these games are the discounted values and the value,…

最优化与控制 · 数学 2019-12-12 Miquel Oliu-Barton

Stochastic optimization algorithms have been successfully applied in several domains to find optimal solutions. Because of the ever-growing complexity of the integrated systems, novel stochastic algorithms are being proposed, which makes…

人工智能 · 计算机科学 2024-06-04 Sowmya Chandrasekaran , Thomas Bartz-Beielstein

We study a class of two-player competitive concurrent stochastic games on graphs with reachability objectives. Specifically, player 1 aims to reach a subset $F_1$ of game states, and player 2 aims to reach a subset $F_2$ of game states…

系统与控制 · 电气工程与系统科学 2023-03-24 Chongyang Shi , Shuo Han , Jie Fu

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

计算机科学与博弈论 · 计算机科学 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

A previously developed quantum search algorithm for solving 1-SAT problems in a single step is generalized to apply to a range of highly constrained k-SAT problems. We identify a bound on the number of clauses in satisfiability problems for…

人工智能 · 计算机科学 2011-05-30 T. Hogg

Quantum computers can offer dramatic improvements over classical devices for data analysis tasks such as prediction and classification. However, less is known about the advantages that quantum computers may bring in the setting of…

量子物理 · 物理学 2018-08-10 Vedran Dunjko , Yi-Kai Liu , Xingyao Wu , Jacob M. Taylor

This work, based on the author's MA thesis, concentrates on simultaneous move quantum games of two players. A numerical algorithm based on the method of best response functions, designed to search for pure strategy Nash equilibrium in…

量子物理 · 物理学 2013-06-07 Y. Avishai

Parity games play an important role in model checking and synthesis. In their paper, Calude et al. have shown that these games can be solved in quasi-polynomial time. We show that their algorithm can be implemented efficiently: we use their…

计算机科学中的逻辑 · 计算机科学 2018-01-30 John Fearnley , Sanjay Jain , Sven Schewe , Frank Stephan , Dominik Wojtczak

Suppose we have two players $A$ and $C$, where player $A$ has a string $s[0..u-1]$ and player $C$ has a string $t[0..u-1]$ and none of the two players knows the other's string. Assume that $s$ and $t$ are both over an integer alphabet…

数据结构与算法 · 计算机科学 2015-12-17 Djamal Belazzougui

Robots playing games that humans are adept in is a challenge. We studied robotic agents playing Chain Catch game as a Multi-Agent System (MAS). Our game starts with a traditional Catch game similar to Pursuit evasion, and further extends it…

多智能体系统 · 计算机科学 2016-02-23 Garima Agrawal , Kamalakar Karlapalem

We present a systematic investigation of the quantum games, constructed using a novel repeated game protocol, when played repeatedly ad infinitum. We focus on establishing that such repeated games -- by virtue of inherent quantum-mechanical…

量子物理 · 物理学 2024-02-27 Archan Mukhopadhyay , Saikat Sur , Tanay Saha , Shubhadeep Sadhukhan , Sagar Chakraborty

Local simultaneous state discrimination (LSSD) is a recently introduced problem in quantum information processing. Its classical version is a non-local game played by non-communicating players against a referee. Based on a known probability…

In many predictive decision-making scenarios, such as credit scoring and academic testing, a decision-maker must construct a model that accounts for agents' propensity to "game" the decision rule by changing their features so as to receive…

机器学习 · 计算机科学 2022-08-26 Yonadav Shavit , Benjamin Edelman , Brian Axelrod