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By treating combinatorial games as dynamical systems, we are able to address a longstanding open question in combinatorial game theory, namely, how the introduction of a "pass" move into a game affects its behavior. We consider two well…

组合数学 · 数学 2012-04-17 Rebecca E. Morrison , Eric J. Friedman , Adam S. Landsberg

This work extends the present author's computational game semantics of Martin-L\"{o}f type theory to the cumulative hierarchy of universes. This extension completes game semantics of all standard types of Martin-L\"{o}f type theory for the…

逻辑 · 数学 2022-03-25 Norihiro Yamada

We investigate systematically the impact of human intervention in the training of computer players in a strategy board game. In that game, computer players utilise reinforcement learning with neural networks for evolving their playing…

人工智能 · 计算机科学 2007-05-23 Dimitris Kalles

We introduce a general representation of large-population games in which each player s influence ON the others IS centralized AND limited, but may otherwise be arbitrary.This representation significantly generalizes the class known AS…

计算机科学与博弈论 · 计算机科学 2013-01-07 Michael Kearns , Yishay Mansour

In this article, we study the structure, and in particular the Grundy values, of a family of games known as memgames.

组合数学 · 数学 2023-11-01 Urban Larsson , Simon Rubinstein-Salzedo , Aaron N. Siegel

A setup is proposed to play a quantum version of the famous bimatrix game of Prisoners' Dilemma. Multi-slit electron diffraction with each player's pure strategy consisting of opening one of the two slits at his/her disposal are essential…

量子物理 · 物理学 2009-11-07 A. Iqbal

An algorithm is proposed to verify whether a finite game is a weighted potential game (WPG) without pre-knowledge on its weights. Then the algorithm is also applied to find the closest WPG for a given finite game. The concept and criterion…

计算机科学与博弈论 · 计算机科学 2021-06-24 Daizhan Cheng , Zhengping Ji

Data mining and knowledge discovery are two important growing research fields in the last two decades due to the abundance of data collected from various sources. The exponentially growing volumes of generated data urge the development of…

计算机科学与博弈论 · 计算机科学 2020-07-13 Dalila Kessira , Mohand-Tahar Kechadi

In this article, we present a new machine learning model by imitation based on the linguistic description of complex phenomena. The idea consists of, first, capturing the behaviour of human players by creating a computational perception…

机器学习 · 计算机科学 2021-01-08 Clemente Rubio-Manzano , Tomas Lermanda , CLaudia Martinez , Alejandra Segura , Christian Vidal

The notions of captured/lost vertices and dead edges in the Shannon game (Shannon switching game on nodes) are examined using graph theory. Simple methods are presented for identifying some dead edges and some captured sets of vertices,…

组合数学 · 数学 2012-10-31 Andrew M. Steane

In this paper we provide a case study of the use of relatively sophisticated mathematics and algorithms to redefine and adapt a simple traditional game/puzzle to exploit the computational power of smart devices. The focus here is not so…

人机交互 · 计算机科学 2019-06-04 Jeffrey Uhlmann

Obliging games have been introduced in the context of the game perspective on reactive synthesis in order to enforce a degree of cooperation between the to-be-synthesized system and the environment. Previous approaches to the analysis of…

计算机科学与博弈论 · 计算机科学 2024-07-17 Daniel Hausmann , Nir Piterman

We investigate an algorithm that assigns to any game in normal form an approximating game that admits an ordinal potential function. Due to the properties of potential games, the algorithm equips every game with a surrogate reward structure…

多智能体系统 · 计算机科学 2026-02-24 Philipp Lakheshar , Sharwin Rezagholi

We define a new concept of "mistake" strategies and actions for strategic-form and extensive-form games, analyze the relationship to prior main game-theoretic solution concepts, study algorithms for computation, and explore practicality.…

计算机科学与博弈论 · 计算机科学 2020-10-29 Sam Ganzfried

Game theory provides an effective way to model strategic interactions among rational agents. In the context of formal verification, these ideas can be used to produce guarantees on the correctness of multi-agent systems, with a diverse…

计算机科学与博弈论 · 计算机科学 2024-11-11 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

We propose the study of quantum games from the point of view of quantum information theory and statistical mechanics. Every game can be described by a density operator, the von Neumann entropy and the quantum replicator dynamics. There…

量子物理 · 物理学 2016-12-12 Esteban Guevara Hidalgo

A Bayesian game is said to have nested information if the players are ordered, and each player knows the types of all players that follow her in that order. We prove that all multiplayer Bayesian games with finite actions spaces, bounded…

概率论 · 数学 2025-02-24 Royi Jacobovic , John Yehuda Levy , Eilon Solan

Genetic programming is the practice of evolving formulas using crossover and mutation of genes representing functional operations. Motivated by genetic evolution we develop and solve two combinatorial games, and we demonstrate some…

组合数学 · 数学 2021-02-02 Melissa A. Huggan , Craig Tennenhouse

We compare complex networks built from the game of go and obtained from databases of human-played games with those obtained from computer-played games. Our investigations show that statistical features of the human-based networks and the…

社会与信息网络 · 计算机科学 2017-11-16 C. Coquidé , B. Georgeot , O. Giraud

Recently the concept of quantum information has been introduced into game theory. Here we present the first study of quantum games with more than two players. We discover that such games can possess a new form of equilibrium strategy, one…

量子物理 · 物理学 2007-05-23 Simon C. Benjamin , Patrick M. Hayden
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