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In many board games and other abstract games, patterns have been used as features that can guide automated game-playing agents. Such patterns or features often represent particular configurations of pieces, empty positions, etc., which may…

Artificial Intelligence · Computer Science 2023-05-05 Dennis J. N. J. Soemers , Éric Piette , Matthew Stephenson , Cameron Browne

We discuss algorithms for combining sequential prediction strategies, a task which can be viewed as a natural generalisation of the concept of universal coding. We describe a graphical language based on Hidden Markov Models for defining…

Information Theory · Computer Science 2013-11-27 Wouter M. Koolen , Steven de Rooij

When developing reinforcement learning agents, the standard approach is to train an agent to converge to a fixed policy that is as close to optimal as possible for a single fixed reward function. If different agent behaviour is required in…

Multiagent Systems · Computer Science 2021-01-29 David O'Callaghan , Patrick Mannion

Evolutionary game theory is a mathematical toolkit to analyse the interactions that an individual agent has in a population and how the composition of strategies in this population evolves over time. While it can provide neat solutions to…

Computer Science and Game Theory · Computer Science 2021-09-07 Jacobus Smit , Ed Plumb

We synthesize and unify notions of regularity, both of individual sets and of collections of sets, as they appear in the convergence theory of projection methods for consistent feasibility problems. Several new characterizations of…

Optimization and Control · Mathematics 2018-05-15 Alexander Y. Kruger , D. Russell Luke , Nguyen H. Thao

Graph games played by two players over finite-state graphs are central in many problems in computer science. In particular, graph games with $\omega$-regular winning conditions, specified as parity objectives, which can express properties…

Logic in Computer Science · Computer Science 2018-03-20 Tomáš Brázdil , Krishnendu Chatterjee , Jan Křetínský , Viktor Toman

We study a modified version of the Naming Game, a recently introduced model which describes how shared vocabulary can emerge spontaneously in a population without any central control. In particular, we introduce a new mechanism that allows…

Physics and Society · Physics 2009-11-13 Edgardo Brigatti

This work interprets and generalizes consensus-type algorithms as switching dynamics leading to symmetrization of some vector variables with respect to the actions of a finite group. We show how the symmetrization framework we develop…

Quantum Physics · Physics 2015-06-17 Luca Mazzarella , Francesco Ticozzi , Alain Sarlette

We introduce the concept of budget games. Players choose a set of tasks and each task has a certain demand on every resource in the game. Each resource has a budget. If the budget is not enough to satisfy the sum of all demands, it has to…

Computer Science and Game Theory · Computer Science 2014-07-14 Maximilian Drees , Sören Riechers , Alexander Skopalik

We study a general aggregation problem in which a society has to determine its position on each of several issues, based on the positions of the members of the society on those issues. There is a prescribed set of feasible evaluations,…

Computer Science and Game Theory · Computer Science 2015-03-20 Elad Dokow , Dvir Falik

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

We present a unified approach, based on dominating families in binary relations, for the study of topological properties defined in terms of selection principles and the games associated to them.

General Topology · Mathematics 2014-05-21 Rodrigo R. Dias , Marion Scheepers

Classical reactive synthesis approaches aim to synthesize a reactive system that always satisfies a given specifications. These approaches often reduce to playing a two-player zero-sum game where the goal is to synthesize a winning…

Computer Science and Game Theory · Computer Science 2025-06-09 Karan Muvvala , Qi Heng Ho , Morteza Lahijanian

Differences in perception, information asymmetries, and bounded rationality lead game-theoretic players to derive a private, subjective view of the game that may diverge from the underlying ground-truth scenario and may be misaligned with…

Artificial Intelligence · Computer Science 2025-12-16 Vince Trencsenyi

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

We investigate concurrent two-player win/lose stochastic games on finite graphs with prefix-independent objectives. We characterize subgame optimal strategies and use this characterization to show various memory transfer results: 1) For a…

Computer Science and Game Theory · Computer Science 2023-01-26 Benjamin Bordais , Patricia Bouyer , Stéphane Le Roux

We compare games under delayed control and delay games, two types of infinite games modelling asynchronicity in reactive synthesis. In games under delayed control both players suffer from partial informedness due to symmetrically delayed…

Computer Science and Game Theory · Computer Science 2025-03-19 Martin Fränzle , Paul Kröger , Sarah Winter , Martin Zimmermann

Admissibility has been studied for games of infinite duration with Boolean objectives. We extend here this study to games of infinite duration with quantitative objectives. First, we show that, un- der the assumption that optimal worst-case…

Logic in Computer Science · Computer Science 2016-11-29 Romain Brenguier , Guillermo A. Pérez , Jean-François Raskin , Ocan Sankur

Learning algorithm design for state-based games is investigated. A heuristic uncoupled learning algorithm, which is a two memory better reply with inertia dynamics, is proposed. Under certain reasonable conditions it is proved that for any…

Optimization and Control · Mathematics 2018-09-18 Changxi Li , Yu Xing , Fenghua He , Daizhan Cheng

This short paper describes an ongoing research project that requires the automated self-play learning and evaluation of a large number of board games in digital form. We describe the approach we are taking to determine relevant features,…

Artificial Intelligence · Computer Science 2021-01-05 Cameron Browne , Dennis J. N. J. Soemers , Eric Piette