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We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

Economics · Quantitative Finance 2017-04-04 Jian Yang

Innovation and evolution are two processes of paramount relevance for social and biological systems. In general, the former allows to introduce elements of novelty, while the latter is responsible for the motion of a system in its phase…

Physics and Society · Physics 2018-04-11 Marco Antonio Amaral , Marco Alberto Javarone

Stabilizing cooperation among self-interested individuals presents a fundamental challenge in evolutionary theory and social science. While classical models predict the dominance of defection in social dilemmas, empirical and theoretical…

Physics and Society · Physics 2025-04-08 Pierre Bousseyroux , Gilles Zérah , Michael Benzaquen

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…

Combinatorics · Mathematics 2021-01-29 Urban Larsson , Richard J. Nowakowski , Carlos P. Santos

Behavioral experiments on the ultimatum game (UG) reveal that we humans prefer fair acts, which contradicts the prediction made in orthodox Economics. Existing explanations, however, are mostly attributed to exogenous factors within the…

Machine Learning · Computer Science 2026-02-04 Guozhong Zheng , Jiqiang Zhang , Xin Ou , Shengfeng Deng , Li Chen

We study and compare the learning dynamics of two universal learning algorithms, one based on Bayesian learning and the other on prediction with expert advice. Both approaches have strong asymptotic performance guarantees. When confronted…

Machine Learning · Computer Science 2007-05-23 Jan Poland , Marcus Hutter

Generative adversarial imitation learning (GAIL) is a popular inverse reinforcement learning approach for jointly optimizing policy and reward from expert trajectories. A primary question about GAIL is whether applying a certain policy…

Machine Learning · Computer Science 2020-06-26 Ziwei Guan , Tengyu Xu , Yingbin Liang

Global games form a subclass of games with incomplete information where a set of agents decide actions against a regime with an underlying fundamental $\theta$ representing its power. Each agent has access to an independent noisy…

Social and Information Networks · Computer Science 2017-10-31 Hessam Mahdavifar , Ahmad Beirami , Behrouz Touri , Jeff S. Shamma

We unify and consolidate various results about non-signall-ing games, a subclass of non-local two-player one-round games, by introducing and studying several new families of games and establishing general theorems about them, which extend a…

Operator Algebras · Mathematics 2020-04-09 M. Lupini , L. Mancinska , V. I. Paulsen , D. E. Roberson , G. Scarpa , S. Severini , I. G. Todorov , A. Winter

We prove the dynamic programming principe for uniformly nondegenerate stochastic differential games in the framework of time-homogeneous diffusion processes considered up to the first exit time from a domain. The zeroth-order "coefficient"…

Optimization and Control · Mathematics 2012-07-17 N. V. Krylov

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

Video games have served as useful benchmarks for the decision-making community, but going beyond Atari games towards modern games has been prohibitively expensive for the vast majority of the research community. Prior work in modern video…

Game theory provides a general mathematical background to study the effect of pair interactions and evolutionary rules on the macroscopic behavior of multi-player games where players with a finite number of strategies may represent a wide…

Physics and Society · Physics 2016-04-20 Gyorgy Szabo , Istvan Borsos

Game dynamics theory, as a field of science, the consistency of theory and experiment is essential. In the past 10 years, important progress has been made in the merging of the theory and experiment in this field, in which dynamics cycle is…

Theoretical Economics · Economics 2024-11-13 Zhijian Wang , Shujie Zhou , Qinmei Yao , Yijia Wang

Regular games form a well-established class of games for analysis and synthesis of reactive systems. They include coloured Muller games, McNaughton games, Muller games, Rabin games, and Streett games. These games are played on directed…

Computer Science and Game Theory · Computer Science 2024-05-14 Zihui Liang , Bakh Khoussainov , Mingyu Xiao

In visual guessing games, a Guesser has to identify a target object in a scene by asking questions to an Oracle. An effective strategy for the players is to learn conceptual representations of objects that are both discriminative and…

Computation and Language · Computer Science 2020-11-06 Alessandro Suglia , Antonio Vergari , Ioannis Konstas , Yonatan Bisk , Emanuele Bastianelli , Andrea Vanzo , Oliver Lemon

Game semantics is a rich and successful class of denotational models for programming languages. Most game models feature a rather intuitive setup, yet surprisingly difficult proofs of such basic results as associativity of composition of…

Logic in Computer Science · Computer Science 2017-11-30 Clovis Eberhart , Tom Hirschowitz

Unlike computation or the numerical analysis of differential equations, simulation does not have a well established conceptual and mathematical foundation. Simulation is an arguable unique union of modeling and computation. However,…

adap-org · Physics 2008-02-03 Steen Rasmussen , Christopher Barrett

We propose a concept of quantum extensive-form games, which is a quantum extension of classical extensive-form games. Extensive-form games is a general concept of games such as Go, Shogi, and chess, which have triggered the recent AI…

Quantum Physics · Physics 2023-12-12 Kazuki Ikeda

We introduce the notion of universal memcomputing machines (UMMs): a class of brain-inspired general-purpose computing machines based on systems with memory, whereby processing and storing of information occur on the same physical location.…

Neural and Evolutionary Computing · Computer Science 2015-12-17 Fabio L. Traversa , Massimiliano Di Ventra
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