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Candogan et al. (2011) provide an orthogonal direct-sum decomposition of finite games into potential, harmonic and nonstrategic components. In this paper we study the issue of decomposing games that are strategically equivalent from a…

Computer Science and Game Theory · Computer Science 2020-04-01 Joseph Abdou , Nikolaos Pnevmatikos , Marco Scarsini , Xavier Venel

The rationalizability concept was introduced in \cite{Ber84} and \cite{Pea84} to assess what can be inferred by rational players in a non-cooperative game in the presence of common knowledge. However, this notion can be defined in a number…

Computer Science and Game Theory · Computer Science 2007-06-13 Krzysztof R. Apt

Game theory studies situations in which strategic players can modify the state of a given system, due to the absence of a central authority. Solution concepts, such as Nash equilibrium, are defined to predict the outcome of such situations.…

Computer Science and Game Theory · Computer Science 2013-11-08 Diodato Ferraioli , Paul W. Goldberg , Carmine Ventre

Machine learning is usually defined in behaviourist terms, where external validation is the primary mechanism of learning. In this paper, I argue for a more holistic interpretation in which finding more probable, efficient and abstract…

Artificial Intelligence · Computer Science 2017-11-07 Johan Loeckx

We introduce and analyze a model for decentral- ized control. The model is broad enough to include problems such as formation control, decentralization of the power grid and flocking. The objective of this paper is twofold. First, we show…

Optimization and Control · Mathematics 2011-10-07 M. -A. Belabbas

This paper presents an approach that brings together game theory with grammatical inference and discrete abstractions in order to synthesize control strategies for hybrid dynamical systems performing tasks in partially unknown but…

Robotics · Computer Science 2012-10-08 Jie Fu , Herbert G. Tanner , Jeffrey Heinz , Jane Chandlee , Konstantinos Karydis , Cesar Koirala

This paper is an expository contribution reporting on published work. It focusses on an approach followed in the rewriting community to formalize the concept of strategy. Based on rewriting concepts, several definitions of strategy are…

Logic in Computer Science · Computer Science 2013-03-05 Hélène Kirchner

A symbolic approach to decentralized set-valued state estimation and prediction for systems that admit a hybrid state machine representations is proposed. The decentralized computational scheme represents a conj unction of a finite number…

Systems and Control · Computer Science 2013-02-28 Naim Bajcinca

We use a reformulation of compositional game theory to reunite game theory with game semantics, by viewing an open game as the System and its choice of contexts as the Environment. Specifically, the system is jointly controlled by $n \geq…

Computer Science and Game Theory · Computer Science 2020-09-16 Jules Hedges

In timeline-based planning, domains are described as sets of independent, but interacting, components, whose behaviour over time (the set of timelines) is governed by a set of temporal constraints. A distinguishing feature of timeline-based…

Artificial Intelligence · Computer Science 2019-05-28 Nicola Gigante , Angelo Montanari , Marta Cialdea Mayer , Andrea Orlandini , Mark Reynolds

Given entropy's central role in multiple areas of physics and science, one important task is to develop a systematic and unifying approach to defining entropy. Games of chance become a natural candidate for characterising the uncertainty of…

Quantum Physics · Physics 2022-02-23 Sarah Brandsen , Isabelle Jianing Geng , Gilad Gour

This paper studies strategic decentralization in binary choice composite network congestion games. A player decentralizes if she lets some autonomous agents to decide respectively how to send different parts of her stock from the origin to…

Computer Science and Game Theory · Computer Science 2015-09-16 Cheng Wan

Randomized mechanisms can have good normative properties compared to their deterministic counterparts. However, randomized mechanisms are problematic in several ways such as in their verifiability. We propose here to derandomize such…

Computer Science and Game Theory · Computer Science 2024-05-16 Toby Walsh

Semi-automata are abstractions of electronic devices that are deterministic finite-state machines having inputs but no outputs. Generalized semiautomata are obtained from stochastic semiautomata by dropping the restrictions imposed by…

Formal Languages and Automata Theory · Computer Science 2020-04-21 Merve Nur Cakir , Karl-Heinz Zimmermann

We consider the computational complexity of the question whether a certain strategy can be removed from a game by means of iterated elimination of dominated strategies. In particular, we study the influence of different definitions of…

Computational Complexity · Computer Science 2010-01-20 Arno Pauly

Decentralized optimization enables multiple devices to learn a global machine learning model while each individual device only has access to its local dataset. By avoiding the need for training data to leave individual users' devices, it…

Machine Learning · Computer Science 2026-04-22 Ziqin Chen , Zuang Wang , Yongqiang Wang

Game-theoretical approach to the analysis of parallel algorithms is proposed. The approach is based on presentation of the parallel computing as a congestion game. In the game processes compete for resources such as core of a central…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-25 O. A. Malafeyev , S. A. Nemnyugin

We give a general method for constructing a deterministic strategy of Reality from a randomized strategy in game-theoretic probability. The construction can be seen as derandomization in game-theoretic probability.

Probability · Mathematics 2014-08-05 Kenshi Miyabe , Akimichi Takemura

Decentralized optimization of distributed stochastic differential systems has been an active area of research for over half a century. Its formulation utilizing static team and person-by-person optimality criteria is well investigated.…

Optimization and Control · Mathematics 2013-02-15 Charalambos D. Charalambous , Nasir U. Ahmed

Game-theoretic centrality is a flexible and sophisticated approach to identify the most important nodes in a network. It builds upon the methods from cooperative game theory and network theory. The key idea is to treat nodes as players in a…

Artificial Intelligence · Computer Science 2018-01-03 Mateusz K. Tarkowski , Tomasz P. Michalak , Talal Rahwan , Michael Wooldridge