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Continuous-time game dynamics are typically first order systems where payoffs determine the growth rate of the players' strategy shares. In this paper, we investigate what happens beyond first order by viewing payoffs as higher order forces…

Optimization and Control · Mathematics 2013-08-01 Rida Laraki , Panayotis Mertikopoulos

At the beginning of a dynamic game, players may have exogenous theories about how the opponents are going to play. Suppose that these theories are commonly known. Then, players will refine their first-order beliefs, and challenge their own…

Computer Science and Game Theory · Computer Science 2017-07-28 Emiliano Catonini

An interrelationship between Game Theory and Control Theory is seeked. In this respect two aspects of this relationship are brought up. To establish the direct relationship Control Based Games and to establish the inverse relationship Game…

Optimization and Control · Mathematics 2020-06-22 Souma Mazumdar

We study rational agents with different perception capabilities in strategic games. We focus on a class of one-shot limited-perception games. These games extend simultaneous-move normal-form games by presenting each player with an…

Computer Science and Game Theory · Computer Science 2024-05-28 Kai Jia , Martin Rinard

This paper uses category theory to develop an entirely new approach to approximate game theory. Game theory is the study of how different agents within a multi-agent system take decisions. At its core, game theory asks what an optimal…

Computer Science and Game Theory · Computer Science 2025-09-26 Neil Ghani

We propose a novel dependency-based hybrid tree model for semantic parsing, which converts natural language utterance into machine interpretable meaning representations. Unlike previous state-of-the-art models, the semantic information is…

Computation and Language · Computer Science 2018-09-05 Zhanming Jie , Wei Lu

Team semantics is the mathematical framework of modern logics of dependence and independence in which formulae are interpreted by sets of assignments (teams) instead of single assignments as in first-order logic. In order to deepen the…

Logic in Computer Science · Computer Science 2020-03-27 Miika Hannula , Juha Kontinen , Jonni Virtema

We investigate the expressive power of a Turing-complete logic based on game-theoretic semantics. By defining suitable fragments and variants of the logic, we obtain a range of natural characterizations for some fundamental families of…

Logic · Mathematics 2023-04-14 Antti Kuusisto

We consider a logic used to describe sets of configurations of distributed systems, whose network topologies can be changed at runtime, by reconfiguration programs. The logic uses inductive definitions to describe networks with an unbounded…

Logic in Computer Science · Computer Science 2022-04-27 Marius Bozga , Lucas Bueri , Radu Iosif

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

Chaotic Dynamics · Physics 2011-09-22 Tobias Galla , J. Doyne Farmer

We introduce the metagame, a conceptual framework for quantifying second-order interaction effects of model explanations. For any first-order attribution $\phi(f)$ explaining a model $f$, we measure the directional influence of feature $j$…

Machine Learning · Computer Science 2026-05-08 Hubert Baniecki , Przemyslaw Biecek , Fabian Fumagalli

The computational properties of modal and propositional dependence logics have been extensively studied over the past few years, starting from a result by Sevenster showing NEXPTIME-completeness of the satisfiability problem for modal…

Logic in Computer Science · Computer Science 2023-06-22 Miika Hannula

We discuss partial specifications in first-order logic FO and also in a Turing-complete extension of FO. We compare the compositional and game-theoretic approaches to the systems.

Logic · Mathematics 2023-07-28 Antti Kuusisto

Game balancing is an important part of the (computer) game design process, in which designers adapt a game prototype so that the resulting gameplay is as entertaining as possible. In industry, the evaluation of a game is often based on…

Human-Computer Interaction · Computer Science 2016-03-15 Vanessa Volz , Günter Rudolph , Boris Naujoks

This article explains the distinctions between robustness and resilience in control systems. Resilience confronts a distinct set of challenges, posing new ones for designing controllers for feedback systems, networks, and machines that…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Quanyan Zhu , Tamer Basar

Extensive games are tools largely used in economics to describe decision processes ofa community of agents. In this paper we propose a formal presentation based on theproof assistant COQ which focuses mostly on infinite extensive games and…

Computer Science and Game Theory · Computer Science 2017-12-07 Pierre Lescanne

We define and study logics in the framework of probabilistic team semantics and over metafinite structures. Our work is paralleled by the recent development of novel axiomatizable and tractable logics in team semantics that are closed under…

Logic in Computer Science · Computer Science 2021-04-12 Miika Hannula , Minna Hirvonen , Juha Kontinen

We introduce language-based games, a generalization of psychological games [6] that can also capture reference-dependent preferences [7]. The idea is to extend the domain of the utility function to situations, maximal consistent sets in…

Computer Science and Game Theory · Computer Science 2013-10-28 Adam Bjorndahl , Joseph Y. Halpern , Rafael Pass

We propose a conjugate logic that can capture the behavior of quantum and quantum-like systems. The proposal is similar to the more generic concept of epistemic logic: it encodes knowledge or perhaps more correctly, predictions about…

Quantum Physics · Physics 2024-01-10 Niklas Johansson , Felix Huber , Jan-Åke Larsson

We consider a dynamical approach to game in extensive forms. By restricting the convertibility relation over strategy profiles, we obtain a semi-potential (in the sense of Kukushkin), and we show that in finite games the corresponding…

Computer Science and Game Theory · Computer Science 2017-04-05 Stéphane Le Roux , Arno Pauly
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