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Dynamic game theory is an increasingly popular tool for modeling multi-agent, e.g. human-robot, interactions. Game-theoretic models presume that each agent wishes to minimize a private cost function that depends on others' actions. These…

Robotics · Computer Science 2025-10-17 Cade Armstrong , Ryan Park , Xinjie Liu , Kushagra Gupta , David Fridovich-Keil

Using the recently introduced universal computing model, called orchestrated machine, that represents computations in a dissipative environment, we consider a new kind of interpretation of Turing's Imitation Game. In addition we raise the…

Artificial Intelligence · Computer Science 2015-09-03 Norbert Bátfai

Simultaneous reproduction of all financial stylized facts is so difficult that most existing stochastic process-based and agent-based models are unable to achieve the goal. In this study, by extending the decision-making structure of…

Statistical Finance · Quantitative Finance 2019-05-22 Kei Katahira , Yu Chen , Gaku Hashimoto , Hiroshi Okuda

We unify standard frameworks for approachability both in full or partial monitoring by defining a new abstract game, called the "purely informative game", where the outcome at each stage is the maximal information players can obtain,…

Computer Science and Game Theory · Computer Science 2013-01-17 Vianney Perchet , Marc Quincampoix

In the game theory literature, there appears to be little research on equilibrium selection for normal-form games with an infinite strategy space and discontinuous utility functions. Moreover, many existing selection methods are not…

Computer Science and Game Theory · Computer Science 2018-09-24 Yuke Li , A. Stephen Morse

Decomposition, i.e. independently analyzing possible subgames, has proven to be an essential principle for effective decision-making in perfect information games. However, in imperfect information games, decomposition has proven to be…

Computer Science and Game Theory · Computer Science 2014-04-22 Neil Burch , Michael Johanson , Michael Bowling

This paper presents a new model for word sense disambiguation formulated in terms of evolutionary game theory, where each word to be disambiguated is represented as a node on a graph whose edges represent word relations and senses are…

Artificial Intelligence · Computer Science 2017-04-07 Rocco Tripodi , Marcello Pelillo

We propose a unifying additive theory for standard conventions in Combinatorial Game Theory, including normal-, mis\`ere- and scoring-play, studied by Berlekamp, Conway, Dorbec, Ettinger, Guy, Larsson, Milley, Neto, Nowakowski, Renault,…

Combinatorics · Mathematics 2021-07-07 Urban Larsson , Richard J. Nowakowski , Carlos P. Santos

Negotiations, a model of concurrency with multi party negotiation as primitive, have been recently introduced in arXiv:1307.2145, arXiv:1403.4958. We initiate the study of games for this model. We study coalition problems: can a given…

Logic in Computer Science · Computer Science 2015-07-30 Javier Esparza , Philipp Hoffmann

The Type Indeterminacy model is a theoretical framework that formalizes the constructive preference perspective suggested by Kahneman and Tversky. In this paper we explore an extention of the TI-model from simple to strategic…

Physics and Society · Physics 2009-02-11 Jerome Busemeyer , A. Lambert-Mogiliansky

Infinite-state games provide a framework for the synthesis of reactive systems with unbounded data domains. Solving such games typically relies on computing symbolic fixpoints, particularly symbolic attractors. However, these computations…

Logic in Computer Science · Computer Science 2026-01-21 Philippe Heim , Rayna Dimitrova

Video game playing is an extremely structured domain where algorithmic decision-making can be tested without adverse real-world consequences. While prevailing methods rely on image inputs to avoid the problem of hand-crafting state space…

Machine Learning · Computer Science 2024-09-24 Abhishek Jaiswal , Nisheeth Srivastava

Covering and packing problems can be modeled as games to encapsulate interesting social and engineering settings. These games have a high Price of Anarchy in their natural formulation. However, existing research applicable to specific…

Computer Science and Game Theory · Computer Science 2011-09-19 Maria-Florina Balcan , Sara Krehbiel , Georgios Piliouras , Jinwoo Shin

In repeated-game applications where both the collusive and non-collusive outcomes can be supported as equilibria, researchers must resolve underlying selection questions if theory will be used to understand counterfactual policies. One…

General Economics · Economics 2021-01-18 Emanuel Vespa , Taylor Weidman , Alistair J. Wilson

Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

Physics and Society · Physics 2021-08-12 Seth Frey , Curtis Atkisson

We consider an application of the mathematical formalism of quantum mechanics (QM) outside physics, namely, to game theory. We present a simple game between macroscopic players, say Alice and Bob (or in a more complex form - Alice, Bob and…

Quantum Physics · Physics 2010-11-30 Andrei Khrennikov

We investigate multi-round team competitions between two teams, where each team selects one of its players simultaneously in each round and each player can play at most once. The competition defines an extensive-form game with perfect…

Computer Science and Game Theory · Computer Science 2016-02-25 Kai Jin , Pingzhong Tang , Shiteng Chen

Traditional solvable game theory and mean-field-type game theory (risk-aware games) predominantly focus on quadratic costs due to their analytical tractability. Nevertheless, they often fail to capture critical non-linearities inherent in…

Optimization and Control · Mathematics 2025-05-09 Julian Barreiro-Gomez , Tyrone E. Duncan , Bozenna Pasik-Duncan , Hamidou Tembine

This paper presents a new mathematical formalism that describes the quantization of games. The study of so-called quantum games is quite new, arising from a seminal paper of D. Meyer \cite{Meyer} published in Physics Review Letters in 1999.…

Quantum Physics · Physics 2009-02-20 Steven A. Bleiler

Games can be a powerful tool for learning about statistical methodology. Effective game design involves a fine balance between caricature and realism, to simultaneously illustrate salient concepts in a controlled setting and serve as a…

Other Statistics · Statistics 2018-05-15 Robert B. Gramacy