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We show that the maximum success probability of players sharing quantum entanglement in a two-player game with classical questions of logarithmic length and classical answers of constant length is NP-hard to approximate to within constant…

Quantum Physics · Physics 2020-11-24 Anand Natarajan , Thomas Vidick

Symmetric quantum games for 2-player, 2-qubit strategies are analyzed in detail by using a scheme in which all pure states in the 2-qubit Hilbert space are utilized for strategies. We consider two different types of symmetric games…

Quantum Physics · Physics 2009-05-18 Tsubasa Ichikawa , Izumi Tsutsui

Suppose that a train is running along a railway network, starting from a designated origin, with the goal of reaching a designated destination. The network, however, is of a special nature: every time the train traverses a switch, the…

Computational Complexity · Computer Science 2017-06-26 Jérôme Dohrau , Bernd Gärtner , Manuel Kohler , Jiří Matoušek , Emo Welzl

This thesis presents some geometric insights into three different types of two player prediction games -- namely general learning task, prediction with expert advice, and online convex optimization. These games differ in the nature of the…

Machine Learning · Computer Science 2018-05-23 Parameswaran Kamalaruban

Zero-sum games have long guided artificial intelligence research, since they possess both a rich strategy space of best-responses and a clear evaluation metric. What's more, competition is a vital mechanism in many real-world multi-agent…

Computer Science and Game Theory · Computer Science 2020-03-03 Edward Hughes , Thomas W. Anthony , Tom Eccles , Joel Z. Leibo , David Balduzzi , Yoram Bachrach

Self-testing allows us to determine, through classical interaction only, whether some players in a non-local game share particular quantum states. Most work on self-testing has concentrated on developing tests for small states like one pair…

Quantum Physics · Physics 2016-05-04 Matthew McKague

This paper revisits a classical problem of slotted multiple access with success, idle, and collision events on each slot. First, results of a 2-user multiple access game are reported. The game was conducted at the University of Southern…

Computer Science and Game Theory · Computer Science 2021-12-24 Michael J. Neely

Adversarial self-play in two-player games has delivered impressive results when used with reinforcement learning algorithms that combine deep neural networks and tree search. Algorithms like AlphaZero and Expert Iteration learn tabula-rasa,…

We consider two-player zero-sum games on graphs. These games can be classified on the basis of the information of the players and on the mode of interaction between them. On the basis of information the classification is as follows: (a)…

Computer Science and Game Theory · Computer Science 2015-05-19 Krishnendu Chatterjee , Laurent Doyen , Hugo Gimbert , Thomas A. Henzinger

Many natural processes rely on optimizing the success ratio of a search process. We use an experimental setup consisting of a simple online game in which players have to find a target hidden on a board, to investigate the how the rounds are…

Biological Physics · Physics 2017-05-19 Ricardo Martinez-Garcia , Justin M. Calabrese , Cristobal Lopez

We introduce Pixels2Play-0.1 (P2P0.1), a foundation model that learns to play a wide range of 3D video games with recognizable human-like behavior. Motivated by emerging consumer and developer use cases - AI teammates, controllable NPCs,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Yuguang Yue , Chris Green , Samuel Hunt , Irakli Salia , Wenzhe Shi , Jonathan J Hunt

In this work, we introduce a new toolkit for analyzing cloning games, a notion that captures stronger and more quantitative versions of the celebrated quantum no-cloning theorem. This framework allows us to analyze a new cloning game based…

Quantum Physics · Physics 2025-09-15 Alexander Poremba , Seyoon Ragavan , Vinod Vaikuntanathan

A promising approach for teaching artificial agents to use natural language involves using human-in-the-loop training. However, recent work suggests that current machine learning methods are too data inefficient to be trained in this way…

Computation and Language · Computer Science 2020-06-24 Ryan Lowe , Abhinav Gupta , Jakob Foerster , Douwe Kiela , Joelle Pineau

We study a general class of dynamic games with asymmetric information where agents' beliefs are strategy dependent, i.e. signaling occurs. We show that the notion of sufficient information, introduced in the companion paper team, can be…

Multiagent Systems · Computer Science 2018-12-05 Hamidreza Tavafoghi , Yi Ouyang , Demosthenis Teneketzis

Given an impartial combinatorial game G, we create a class of related games (CIS-G) by specifying a finite set of positions in G and forbidding players from moving to those positions (leaving all other game rules unchanged). Such…

Combinatorics · Mathematics 2012-01-04 Scott M. Garrabrant , Eric J. Friedman , Adam Scott Landsberg

In this article, we study a nonlocal game with two questions and three answers per player, which was first considered by Feige in 1991, and show that there is quantum advantage in this game. We prove that the game is a robust self-test for…

Quantum Physics · Physics 2026-02-27 Simon Schmidt , Sigurd A. L. Storgaard , Michael Walter , Yuming Zhao

M\"uller games form a well-established class of games for model checking and verification. These games are played on directed graphs $\mathcal G$ where Player 0 and Player 1 play by generating an infinite path through the graph. The winner…

Computer Science and Game Theory · Computer Science 2023-11-09 Zihui Liang , Bakh Khoussainov , Mingyu Xiao

Graph Pebbling is a well-studied single-player game on graphs. We introduce the game of Blocking Pebbles which adapts Graph Pebbling into a two-player strategy game in order to examine it within the context of Combinatorial Game Theory.…

Combinatorics · Mathematics 2017-12-18 Michael Fisher , Craig Tennenhouse

An extensive literature in economics and social science addresses contests, in which players compete to outperform each other on some measurable criterion, often referred to as a player's score, or output. Players incur costs that are an…

Computer Science and Game Theory · Computer Science 2013-08-01 Leslie Ann Goldberg , Paul W. Goldberg , Piotr Krysta , Carmine Ventre

A natural goal in multiagent learning besides finding equilibria is to learn rationalizable behavior, where players learn to avoid iteratively dominated actions. However, even in the basic setting of multiplayer general-sum games, existing…

Machine Learning · Computer Science 2022-10-21 Yuanhao Wang , Dingwen Kong , Yu Bai , Chi Jin