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The computation of a solution concept of a cooperative game usually employs values of all coalitions. However, in some applications, the values of some of the coalitions might be unknown due to high costs associated with their determination…

Computer Science and Game Theory · Computer Science 2023-03-31 Martin Cerny , Michel Grabisch

This is a short introduction to the subject of strategic games. We focus on the concepts of best response, Nash equilibrium, strict and weak dominance, and mixed strategies, and study the relation between these concepts in the context of…

Computer Science and Game Theory · Computer Science 2011-02-02 Krzysztof R. Apt

Bell inequalities limit the possible observations of non-communicating parties. Here, we present analogous inequalities for any number of communicating parties under the causal constraints of static causal order, definite causal order, and…

Quantum Physics · Physics 2025-12-01 Ämin Baumeler , Eleftherios-Ermis Tselentis , Stefan Wolf

Causal reasoning and game-theoretic reasoning are fundamental topics in artificial intelligence, among many other disciplines: this paper is concerned with their intersection. Despite their importance, a formal framework that supports both…

Artificial Intelligence · Computer Science 2023-04-18 Lewis Hammond , James Fox , Tom Everitt , Ryan Carey , Alessandro Abate , Michael Wooldridge

Human computation games (HCGs) are a crowdsourcing approach to solving computationally-intractable tasks using games. In this paper, we describe the need for generalizable HCG design knowledge that accommodates the needs of both players and…

Human-Computer Interaction · Computer Science 2017-06-13 Kristin Siu , Alexander Zook , Mark O. Riedl

Under the assumptions that (i) gamification consists of various types of users that experience game design elements differently; and (ii) gamification is deployed in order to achieve some goal in the broadest sense, we pose the gamification…

Human-Computer Interaction · Computer Science 2014-07-04 Michael Meder , Brijnesh-Johannes Jain

Using the simulation paradigm in information theory, we define notions of quantum hypergraph homomorphisms and quantum hypergraph isomorphisms, and show that they constitute partial orders and equivalence relations, respectively.…

Operator Algebras · Mathematics 2022-11-10 Gage Hoefer , Ivan G. Todorov

This article is devoted to the tactical game theoretical interpretation of dialectics. Dialectical games are considered as abstractly as well as models of the internal dialogue and reflection. The models related to the representation theory…

General Mathematics · Mathematics 2007-05-23 Denis V. Juriev

The application of the methods of quantum mechanics to game theory provides us with the ability to achieve results not otherwise possible. Both linear superpositions of actions and entanglement between the players' moves can be exploited.…

Quantum Physics · Physics 2007-05-23 Adrian P. Flitney , Derek Abbott

A general novel approach mapping discrete, combinatorial, graph-theoretic problems onto ``physical'' models - namely $n$ simplexes in $n-1$ dimensions - is applied to the graph equivalence problem. It is shown to solve this long standing…

Statistical Mechanics · Physics 2007-05-23 Vladimir Gudkov , Shmuel Nussinov

In this thesis, we survey techniques and results from the study of Complexity Theory and Games. We then apply these techniques to obtain new results for previously unstudied games. Our contributions in the games Hexiom, Cut the Rope, and…

Computational Complexity · Computer Science 2018-07-13 Diogo M. Costa

We provide several tests to determine whether a game is a potential game or whether it is a zero-sum equivalent game---a game which is strategically equivalent to a zero-sum game in the same way that a potential game is strategically…

Computer Science and Game Theory · Computer Science 2020-02-25 Sung-Ha Hwang , Luc Rey-Bellet

Estimating discrete games of complete information is often computationally difficult due to partial identification and the absence of closed-form moment characterizations. This paper proposes computationally tractable approaches to…

Econometrics · Economics 2025-10-02 Paul S. Koh

There are few explicit examples of two player nonlocal games with a large gap between classical and quantum value. One of the reasons is that estimating the classical value is usually a hard computational task. This paper is devoted to…

Quantum Physics · Physics 2024-11-07 M. Rosicka , S. Szarek , A. Rutkowski , P. Gnaciński , M. Horodecki

Game theory is appropriate for studying cyber conflict because it allows for an intelligent and goal-driven adversary. Applications of game theory have led to a number of results regarding optimal attack and defense strategies. However, the…

Cryptography and Security · Computer Science 2015-11-16 Erik M. Ferragut , Andrew C. Brady , Ethan J. Brady , Jacob M. Ferragut , Nathan M. Ferragut , Max C. Wildgruber

A protocol for considering decoherence in quantum games is presented. Results for two-player, two-strategy quantum games subject to decoherence are derived and some specific examples are given. Decoherence in other types of quantum games is…

Quantum Physics · Physics 2009-11-10 Adrian P. Flitney , Derek Abbott

Algorithmic evaluation of procedurally generated content struggles to find metrics that align with human experience, particularly for composite artefacts. Automatic decomposition as a possible solution requires concepts that meet a range of…

Artificial Intelligence · Computer Science 2025-09-24 Victoire Hervé , Henrik Warpefelt , Christoph Salge

Negotiations, a model of concurrency with multi party negotiation as primitive, have been recently introduced by J. Desel and J. Esparza. We initiate the study of games for this model. We study coalition problems: can a given coalition of…

Logic in Computer Science · Computer Science 2015-09-25 Philipp Hoffmann

The strategic Go game, known for the tedious mathematical complexities, has been used as a theme in many fiction, movies, and books. Here, we introduce the Go game and provide a new version of quantum Go in which the boxes are initially in…

In this paper we will be examining impartial scoring play games. We first give the basic definitions for what impartial scoring play games are and look at their general structure under the disjunctive sum. We will then examine the game of…

Combinatorics · Mathematics 2012-08-07 Fraser Stewart