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The aim of this of this paper is to study infinite games and to prove formally some properties in this framework. As a consequence we show that the behavior (the madness) of people which leads to speculative crashes or escalation can be…

Computer Science and Game Theory · Computer Science 2012-02-10 Pierre Lescanne

Although recent work in AI has made great progress in solving large, zero-sum, extensive-form games, the underlying assumption in most past work is that the parameters of the game itself are known to the agents. This paper deals with the…

Machine Learning · Computer Science 2018-06-29 Chun Kai Ling , Fei Fang , J. Zico Kolter

Incomplete cooperative games generalise the classical model of cooperative games by omitting the values of some of the coalitions. This allows to incorporate uncertainty into the model and study the underlying games as well as possible…

Computer Science and Game Theory · Computer Science 2025-10-07 Martin Černý , Jan Bok , David Hartman , Milan Hladík

This paper presents a succinct review of attempts in the literature to use game theory to model decision making scenarios relevant to defence applications. Game theory has been proven as a very effective tool in modelling decision making…

Computer Science and Game Theory · Computer Science 2021-11-04 Edwin Ho , Arvind Rajagopalan , Alex Skvortsov , Sanjeev Arulampalam , Mahendra Piraveenan

Dependently typed proof assistant rely crucially on definitional equality, which relates types and terms that are automatically identified in the underlying type theory. This paper extends type theory with definitional functor laws,…

Programming Languages · Computer Science 2024-04-10 Théo Laurent , Meven Lennon-Bertrand , Kenji Maillard

We use generating functional analysis to study minority-game type market models with generalized strategy valuation updates that control the psychology of agents' actions. The agents' choice between trend following and contrarian trading,…

Physics and Society · Physics 2015-05-13 P. Papadopoulos , ACC. Coolen

This paper consider the possibility of using some quantum tools in decision making strategies. In particular, we consider here a dynamical open quantum system helping two players, $\G_1$ and $\G_2$, to take their decisions in a specific…

Physics and Society · Physics 2015-06-24 Fabio Bagarello

We introduce a new unified framework for modelling both decision problems and finite games based on quantifiers and selection functions. We show that the canonical utility maximisation is one special case of a quantifier and that our more…

Logic in Computer Science · Computer Science 2014-09-29 Jules Hedges , Paulo Oliva , Evguenia Winschel , Viktor Winschel , Philipp Zahn

Decision making in modern large-scale and complex systems such as communication networks, smart electricity grids, and cyber-physical systems motivate novel game-theoretic approaches. This paper investigates big strategic (non-cooperative)…

Computer Science and Game Theory · Computer Science 2016-09-22 Tansu Alpcan , Benjamin I. P. Rubinstein , Christopher Leckie

We establish a generic result concerning order independence of a dominance relation on finite games. It allows us to draw conclusions about order independence of various dominance relations in a direct and simple way.

Computer Science and Game Theory · Computer Science 2011-01-06 Krzysztof R. Apt

Quantitative measures of randomness in games are useful for game design and have implications for gambling law. We treat the outcome of a game as a random variable and derive a closed-form expression and estimator for the variance in the…

Other Statistics · Statistics 2020-09-11 Alex Cloud , Eric Laber

Complex networks are a great tool for simulating the outcomes of different strategies used within the iterated prisoners' dilemma game. However, because the strategies themselves rely on the connection between nodes, then initial network…

Physics and Society · Physics 2022-08-30 Louis Zhao , Chen Ye Gan , Minglu Zhao

Looks at state interactions from an agent based AI perspective to see state interactions as an example of emergent intelligent behavior. Exposes basic principles of game theory.

Artificial Intelligence · Computer Science 2008-09-03 Eric Engle

In this paper, we deal with some specific domains of applications to game theory. This is one of the major class of models in the new approaches of modelling in the economic domain. For that, we use genetic automata which allow to buid…

Multiagent Systems · Computer Science 2007-12-17 Rawan Ghnemat , Khalaf Khatatneh , Saleh Oqeili , Cyrille Bertelle , Gérard Henry Edmond Duchamp

We present a robust framework with computational algorithms to support decision makers in sequential games. Our framework includes methods to solve games with complete information, assess the robustness of such solutions and, finally,…

Computation · Statistics 2024-02-22 Tahir Ekin , Roi Naveiro , Alberto Torres-Barrán , David Ríos-Insua

In the empirical approach to game-theoretic analysis (EGTA), the model of the game comes not from declarative representation, but is derived by interrogation of a procedural description of the game environment. The motivation for developing…

Computer Science and Game Theory · Computer Science 2025-02-21 Michael P. Wellman , Karl Tuyls , Amy Greenwald

Game theory provides a mathematical framework for analysing strategic situations involving at least two players. Normal-form games model situations where the players simultaneously pick their moves. In this thesis we explore the strategic…

Combinatorics · Mathematics 2019-05-03 Nicholas Ham

When designing or analyzing multi-agent systems, a fundamental problem is responsibility ascription: to specify which agents are responsible for the joint outcome of their behaviors and to which extent. We model strategic multi-agent…

Computer Science and Game Theory · Computer Science 2021-05-20 Christel Baier , Florian Funke , Rupak Majumdar

Although many game-theoretic models replicate real interactions that often rely on natural language, explicit study of games where language is central to strategic interaction remains limited. This paper introduces the \emph{conversation…

Artificial Intelligence · Computer Science 2025-01-31 Kaveh Aryan

We introduce open games as a compositional foundation of economic game theory. A compositional approach potentially allows methods of game theory and theoretical computer science to be applied to large-scale economic models for which…

Computer Science and Game Theory · Computer Science 2018-02-16 Neil Ghani , Jules Hedges , Viktor Winschel , Philipp Zahn
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