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Admissible strategies, i.e. those that are not dominated by any other strategy, are a typical rationality notion in game theory. In many classes of games this is justified by results showing that any strategy is admissible or dominated by…

Computer Science and Game Theory · Computer Science 2018-05-30 Nicolas Basset , Ismaël Jecker , Arno Pauly , Jean-François Raskin , Marie Van den Bogaard

Group polarization, the phenomenon where individuals become more extreme after interacting, has been gaining attention, especially with the rise of social media shaping people's opinions. Recent interest has emerged in formal reasoning…

Logic in Computer Science · Computer Science 2024-05-03 Robert Freiman , Carlos Olarte , Elaine Pimentel , Christian G. Fermüller

In the same sense as classical logic is a formal theory of truth, the recently initiated approach called computability logic is a formal theory of computability. It understands (interactive) computational problems as games played by a…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

Argumentation is one of the most popular approaches of defining a~non-monotonic formalism and several argumentation based semantics were proposed for defeasible logic programs. Recently, a new approach based on notions of conflict…

Artificial Intelligence · Computer Science 2014-04-29 Jozef Frtús

Game logic is a dynamic modal logic which models strategic two person games; it contains propositional dynamic logic (PDL) as a fragment. We propose an interpretation of game logic based on stochastic effectivity functions. A definition of…

Logic in Computer Science · Computer Science 2014-04-01 Ernst-Erich Doberkat

Causal reasoning and game-theoretic reasoning are fundamental topics in artificial intelligence, among many other disciplines: this paper is concerned with their intersection. Despite their importance, a formal framework that supports both…

Artificial Intelligence · Computer Science 2023-04-18 Lewis Hammond , James Fox , Tom Everitt , Ryan Carey , Alessandro Abate , Michael Wooldridge

We characterize three interrelated concepts in epistemic game theory: permissibility, proper rationalizability, and iterated admissibility. We define the lexicographic epistemic model for a game with incomplete information. Based on it, we…

Theoretical Economics · Economics 2018-11-07 Shuige Liu

Game semantics aim at describing the interactive behaviour of proofs by interpreting formulas as games on which proofs induce strategies. In this article, we introduce a game semantics for a fragment of first order propositional logic. One…

Logic in Computer Science · Computer Science 2008-12-18 Samuel Mimram

This paper addresses complexity problems in rational verification and synthesis for multi-player games played on weighted graphs, where the objective of each player is to minimize the cost of reaching a specific set of target vertices. In…

Computer Science and Game Theory · Computer Science 2025-02-11 Véronique Bruyère , Christophe Grandmont , Jean-François Raskin

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

Iterated admissibility is a well-known and important concept in classical game theory, e.g. to determine rational behaviors in multi-player matrix games. As recently shown by Berwanger, this concept can be soundly extended to infinite games…

Computer Science and Game Theory · Computer Science 2014-01-24 Romain Brenguier , Jean-François Raskin , Mathieu Sassolas

Dialogue games are two-player logic games between a Proponent who puts forward a logical formula A as valid or true and an Opponent who disputes this. An advantage of the dialogical approach is that it is a uniform framework from which…

Logic · Mathematics 2014-01-07 Jesse Alama , Sara Uckelman

Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing dependencies induced by quantifications in first-order…

Logic in Computer Science · Computer Science 2009-08-28 Samuel Mimram

In this paper we study the complexity of strategic argumentation for dialogue games. A dialogue game is a 2-player game where the parties play arguments. We show how to model dialogue games in a skeptical, non-monotonic formalism, and we…

Logic in Computer Science · Computer Science 2013-12-17 Guido Governatori , Francesco Olivieri , Simone Scannapieco , Antonino Rotolo , Matteo Cristani

Game Logic is an excellent setting to study proofs-about-programs via the interpretation of those proofs as programs, because constructive proofs for games correspond to effective winning strategies to follow in response to the opponent's…

Logic in Computer Science · Computer Science 2022-10-07 Rose Bohrer , André Platzer

Fairness is a desirable and crucial property of many protocols that handle, for instance, exchanges of message. It states that if at least one agent engaging in the protocol is honest, then either the protocol will unfold correctly and…

Computer Science and Game Theory · Computer Science 2024-11-01 Léonard Brice , Jean-François Raskin , Mathieu Sassolas , Guillaume Scerri , Marie van den Bogaard

Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing dependencies induced by quantifications in first-order…

Logic in Computer Science · Computer Science 2011-01-27 Samuel Mimram

Game comonads provide categorical semantics for comparison games in Finite Model Theory, thus providing an abstract characterisation of logical equivalence for a wide range of logics, each one captured through a specific choice of comonad.…

Logic in Computer Science · Computer Science 2024-08-15 Santiago Figueira , Gabriel Goren-Roig

In this article, we start with a two-player game that models communication under adverse circumstances in everyday life and study it from the perspective of a modal logic of graphs, where links can be deleted locally according to…

Logic in Computer Science · Computer Science 2019-03-06 Dazhu Li

A model checking computation checks whether a given logical sentence is true in a given finite structure. Provenance analysis abstracts from such a computation mathematical information on how the result depends on the atomic data that…

Logic in Computer Science · Computer Science 2020-10-21 Erich Grädel , Val Tannen
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