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A combinatorial game is a two-player game without hidden information or chance elements. The main object of combinatorial game theory is to obtain the outcome, which player has a winning strategy, of a given combinatorial game. Positions of…

组合数学 · 数学 2025-11-27 Kengo Hashimoto

Using the representation introduced in \cite{frame}, an artificial game in quantum strategy space is proposed and studied. Although it has well-known classical correspondence, which has classical mixture strategy Nash Equilibrium states,…

量子物理 · 物理学 2007-05-23 Jinshan Wu

In this paper, we study the notion of admissibility for randomised strategies in concurrent games. Intuitively, an admissible strategy is one where the player plays `as well as possible', because there is no other strategy that dominates…

计算机科学与博弈论 · 计算机科学 2017-02-22 Nicolas Basset , Gilles Geeraerts , Jean-François Raskin , Ocan Sankur

We study the role of costly information in non-cooperative two-player games when an extrinsic third party information broker is introduced asymmetrically, allowing one player to obtain information about the other player's action. This…

计算机科学与博弈论 · 计算机科学 2020-02-20 Matthew J. Young , Andrew Belmonte

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

This work introduces a unified framework for analyzing games in greater depth. In the existing literature, players' strategies are typically assigned scalar values, and equilibrium concepts are used to identify compatible choices. However,…

计算机科学与博弈论 · 计算机科学 2026-02-04 Melih İşeri , Erhan Bayraktar

Concurrent multi-player games with $\omega$-regular objectives are a standard model for systems that consist of several interacting components, each with its own objective. The standard solution concept for such games is Nash Equilibrium,…

计算机科学与博弈论 · 计算机科学 2022-09-28 Shaull Almagor , Shai Guendelman

Security games are an example of a successful real-world application of game theory. The paper defines blameworthiness of the defender and the attacker in security games using the principle of alternative possibilities and provides a sound…

人工智能 · 计算机科学 2019-11-13 Pavel Naumov , Jia Tao

Game semantics is a denotational semantics presenting compositionally the computational behaviour of various kinds of effectful programs. One of its celebrated achievement is to have obtained full abstraction results for programming…

计算机科学中的逻辑 · 计算机科学 2024-09-25 Simon Castellan , Pierre Clairambault

Anomaly detection is a method for discovering unusual and suspicious behavior. In many real-world scenarios, the examined events can be directly linked to the actions of an adversary, such as attacks on computer networks or frauds in…

A traditional assumption in game theory is that players are opaque to one another---if a player changes strategies, then this change in strategies does not affect the choice of other players' strategies. In many situations this is an…

计算机科学与博弈论 · 计算机科学 2013-08-20 Joseph Y. Halpern , Rafael Pass

We propose a new model of a distributed game, called an ATS game, which is played on a non-deterministic asynchronous transition system -- a natural distributed finite-state device working on Mazurkiewicz traces. This new…

形式语言与自动机理论 · 计算机科学 2024-10-18 Bharat Adsul , Nehul Jain

In this paper we survey various notions of anonymity and symmetry for finite strategic-form games present in relevant literature, and discuss notions of fairness; show that game bijections and game isomorphisms form groupoids; introduce…

组合数学 · 数学 2021-05-06 Nicholas Ham

A traditional assumption in game theory is that players are opaque to one another -- if a player changes strategies, then this change in strategies does not affect the choice of other players' strategies. In many situations this is an…

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

Combinatorial Game Theory has also been called `additive game theory', whenever the analysis involves sums of independent game components. Such {\em disjunctive sums} invoke comparison between games, which allows abstract values to be…

组合数学 · 数学 2021-01-29 Urban Larsson , Richard J. Nowakowski , Carlos P. Santos

Graph games of infinite length are a natural model for open reactive processes: one player represents the controller, trying to ensure a given specification, and the other represents a hostile environment. The evolution of the system…

计算机科学与博弈论 · 计算机科学 2010-06-09 Julien Cristau , Claire David , Florian Horn

We consider a repeated sequential game between a learner, who plays first, and an opponent who responds to the chosen action. We seek to design strategies for the learner to successfully interact with the opponent. While most previous…

机器学习 · 计算机科学 2020-07-13 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

Probabilistic concurrent/distributed strategies have so far not been investigated thoroughly in the context of imperfect information, where the Player has only partial knowledge of the moves made by the Opponent. In a situation where the…

计算机科学与博弈论 · 计算机科学 2024-02-08 Sacha Huriot-Tattegrain , Glynn Winskel

In two-player games on graphs, the simplest possible strategies are those that can be implemented without any memory. These are called positional strategies. In this paper, we characterize objectives recognizable by deterministic B\"uchi…

计算机科学与博弈论 · 计算机科学 2024-09-04 Patricia Bouyer , Antonio Casares , Mickael Randour , Pierre Vandenhove

Games with unawareness model strategic situations in which players' perceptions about the game are limited. They take into account the fact that the players may be unaware of some of the strategies available to them or their opponents as…

计算机科学与博弈论 · 计算机科学 2018-08-15 Piotr Frackiewicz