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In this invited contribution, we propose a comprehensive introduction to game theory applied in computer aided synthesis. In this context, we give some classical results on two-player zero-sum games and then on multi-player non zero-sum…

Computer Science and Game Theory · Computer Science 2017-06-05 Véronique Bruyère

We prove that the single-player game clobber is solvable in linear time when played on a line or on a cycle. For this purpose, we show that this game is equivalent to an optimization problem on a set of words defined by seven classes of…

Computer Science and Game Theory · Computer Science 2007-05-23 Vincent D. Blondel , Julien M. Hendrickx , Raphael M. Jungers

In this work, we consider the problem of a two-player zero-sum game. In the literature, the successive over-relaxation Q-learning algorithm has been developed and implemented, and it is seen to result in a lower contraction factor for the…

Machine Learning · Computer Science 2025-11-21 Saksham Gautam , Lakshmi Mandal , Shalabh Bhatnagar

Transductions are binary relations of finite words. For rational transductions, i.e., transductions defined by finite transducers, the inclusion, equivalence and sequential uniformisation problems are known to be undecidable. In this paper,…

Formal Languages and Automata Theory · Computer Science 2016-03-01 Emmanuel Filiot , Ismaël Jecker , Christof Löding , Sarah Winter

With the recent advances in solving large, zero-sum extensive form games, there is a growing interest in the inverse problem of inferring underlying game parameters given only access to agent actions. Although a recent work provides a…

Machine Learning · Computer Science 2019-03-12 Chun Kai Ling , Fei Fang , J. Zico Kolter

Quite often, verification tasks for distributed systems are accomplished via counter abstractions. Such abstractions can sometimes be justified via simulations and bisimulations. In this work, we supply logical foundations to this practice,…

Logic in Computer Science · Computer Science 2017-12-06 Silvio Ghilardi , Elena Pagani

Cosimulation methods allow combination of simulation tools of physical systems running in parallel to act as a single simulation environment for a big system. As data is passed across subsystem boundaries instead of solving the system as…

Computational Engineering, Finance, and Science · Computer Science 2017-03-21 Dirk Scharff , Thilo Moshagen , Jaroslav Vondřejc

Selection in a time-periodic environment is modeled via the two-player replicator dynamics. For sufficiently fast environmental changes, this is reduced to a multi-player replicator dynamics in a constant environment. The two-player terms…

Populations and Evolution · Quantitative Biology 2015-05-13 Armen E. Allahverdyan , Chin-Kun Hu

Game-theoretic interactions with AI agents could differ from traditional human-human interactions in various ways. One such difference is that it may be possible to simulate an AI agent (for example because its source code is known), which…

Computer Science and Game Theory · Computer Science 2024-03-21 Vojtech Kovarik , Caspar Oesterheld , Vincent Conitzer

Game semantics and winning strategies offer a potential conceptual bridge between semantics and proof systems of logics. We illustrate this link for hybrid logic -- an extension of modal logic that allows for explicit reference to worlds…

Logic in Computer Science · Computer Science 2022-06-02 Robert Freiman

In multi-turn dialogs, natural language understanding models can introduce obvious errors by being blind to contextual information. To incorporate dialog history, we present a neural architecture with Speaker-Sensitive Dual Memory Networks…

Computation and Language · Computer Science 2017-11-30 Young-Bum Kim , Sungjin Lee , Ruhi Sarikaya

We study two-player zero-sum games over infinite-state graphs with boundedness conditions. Our first contribution is about the strategy complexity, i.e the memory required for winning strategies: we prove that over general infinite-state…

Computer Science and Game Theory · Computer Science 2013-04-23 Krishnendu Chatterjee , Nathanaël Fijalkow

Persuasion games are fundamental in economics and AI research and serve as the basis for important applications. However, work on this setup assumes communication with stylized messages that do not consist of rich human language. In this…

Computation and Language · Computer Science 2022-01-03 Maya Raifer , Guy Rotman , Reut Apel , Moshe Tennenholtz , Roi Reichart

Working memory accounts for the ability of humans to perform cognitive processing, by handling both the representation of information (the mental picture forming the situation awareness) and the space required for processing these…

Human-Computer Interaction · Computer Science 2018-03-01 George Leu , Jiangjun Tang , Hussein Abbass

Parallel algorithms designed for simulation and performance evaluation of single-server tandem queueing systems with both infinite and finite buffers are presented. The algorithms exploit a simple computational procedure based on recursive…

Numerical Analysis · Mathematics 2012-11-30 Sergei M. Ermakov , Nikolai K. Krivulin

We propose a method to construct finite-state reactive controllers for systems whose interactions with their adversarial environment are modeled by infinite-duration two-player games over (possibly) infinite graphs. The proposed method…

Formal Languages and Automata Theory · Computer Science 2016-01-08 Daniel Neider , Ufuk Topcu

A growing number of machine learning architectures, such as Generative Adversarial Networks, rely on the design of games which implement a desired functionality via a Nash equilibrium. In practice these games have an implicit complexity…

Machine Learning · Computer Science 2021-03-08 Gabriel P. Andrade , Rafael Frongillo , Georgios Piliouras

This paper considers the problem of solving infinite two-player games over finite graphs under various classes of progress assumptions motivated by applications in cyber-physical system (CPS) design. Formally, we consider a game graph G, a…

Computer Science and Game Theory · Computer Science 2024-01-23 Anne-Kathrin Schmuck , K. S. Thejaswini , Irmak Sağlam , Satya Prakash Nayak

Two traditional paradigms are often used to describe the behavior of agents in multi-agent complex systems. In the first one, agents are considered to be fully rational and systems are seen as multi-player games. In the second one, agents…

Computer Science and Game Theory · Computer Science 2016-03-17 Mickael Randour

We propose novel controller synthesis techniques for probabilistic systems modelled using stochastic two-player games: one player acts as a controller, the second represents its environment, and probability is used to capture uncertainty…

Logic in Computer Science · Computer Science 2017-01-11 Klaus Drager , Vojtech Forejt , Marta Kwiatkowska , David Parker , Mateusz Ujma
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