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In recent work, Watanabe, Eberhart, Asada, and Hasuo have shown that parity games can be seen as string diagrams, that is, as the morphisms of a symmetric monoidal category, an algebraic structure with two different operations of…

Logic in Computer Science · Computer Science 2025-01-31 Robin Piedeleu

We define a game on 1-safe Petri nets, where a user plays against an environment in order to reach a goal on the system. The goal is expressed through an LTL-X formula, and represents a behaviour of the system that the user needs to…

Formal Languages and Automata Theory · Computer Science 2022-04-05 Federica Adobbati , Luca Bernardinello , Lucia Pomello

Exploiting the algebraic structure of the set of bimatrix games, a divide-and-conquer algorithm for finding Nash equilibria is proposed. The algorithm is fixed-parameter tractable with the size of the largest irreducible component of a game…

Computer Science and Game Theory · Computer Science 2014-04-04 Xiang Jiang , Arno Pauly

We find the winning strategy for a class of truncation games played on words. As a consequence of the present author's recent results on some of these games we obtain new formulas for Bernoulli numbers and polynomials of the second kind and…

Combinatorics · Mathematics 2014-06-10 Gábor Hetyei

Network games provide a powerful framework for modeling agent interactions in networked systems, where players are represented by nodes in a graph and their payoffs depend on the actions taken by their neighbors. Extending the framework of…

Optimization and Control · Mathematics 2025-12-17 Constantin Ickstadt , Thorsten Theobald , Elias Tsigaridas , Antonios Varvitsiotis

Blackwell's approachability (Blackwell, 1954, 1956) is a very general online learning framework where a Decision Maker obtains vector-valued outcomes, and aims at the convergence of the average outcome to a given ``target'' set. Blackwell…

Optimization and Control · Mathematics 2024-08-26 Joon Kwon , Yijun Wan , Bruno Ziliotto

The solution set of a system of polynomial equations typically contains ill-behaved, singular points. Resolution is a fundamental process in geometry in which we replace singular points with smooth points, while keeping the rest of the…

Machine Learning · Computer Science 2023-08-24 Gergely Bérczi , Honglu Fan , Mingcong Zeng

We consider a setting in which a principal gets to choose which game from some given set is played by a group of agents. The principal would like to choose a game that favors one of the players, the social preferences of the players, or the…

Computer Science and Game Theory · Computer Science 2025-11-27 Caspar Oesterheld , Vincent Conitzer

We study generalized games defined over Banach spaces using variational analysis. To reformulate generalized games as quasi-variational inequality problems, we will first form a suitable principal operator and study some significant…

Optimization and Control · Mathematics 2024-07-29 Asrifa Sultana , Shivani Valecha

We introduce a semantic approach to the study of logics for access control and dependency analysis, based on Game Semantics. We use a variant of AJM games with explicit justification (but without pointers). Based on this, we give a simple…

Logic in Computer Science · Computer Science 2014-01-22 Samson Abramsky , Radha jagadeesan

Several notions of game enjoy a Nash-like notion of equilibrium without guarantee of existence. There are different ways of weakening a definition of Nash-like equilibrium in order to guarantee the existence of a weakened equilibrium.…

Computer Science and Game Theory · Computer Science 2007-12-11 Stéphane Le Roux

We investigate multi-round team competitions between two teams, where each team selects one of its players simultaneously in each round and each player can play at most once. The competition defines an extensive-form game with perfect…

Computer Science and Game Theory · Computer Science 2016-02-25 Kai Jin , Pingzhong Tang , Shiteng Chen

Many problems in compositional synthesis and verification of multi-agent systems -- such as rational verification and assume-guarantee verification in probabilistic systems -- reduce to reasoning about two-player multi-objective stochastic…

Computer Science and Game Theory · Computer Science 2026-02-16 Moritz Graf , Anthony Lin , Rupak Majumdar

Parity games play an important role in model checking and synthesis. In their paper, Calude et al. have shown that these games can be solved in quasi-polynomial time. We show that their algorithm can be implemented efficiently: we use their…

Logic in Computer Science · Computer Science 2018-01-30 John Fearnley , Sanjay Jain , Sven Schewe , Frank Stephan , Dominik Wojtczak

We study a wireless jamming problem consisting of the competition between a legitimate receiver and a jammer, as a zero-sum game where the value to maximize/minimize is the channel capacity at the receiver's side. Most of the approaches…

Computer Science and Game Theory · Computer Science 2026-05-19 Giovanni Perin , Leonardo Badia

Additively separable hedonic games and fractional hedonic games have received considerable attention. They are coalition forming games of selfish agents based on their mutual preferences. Most of the work in the literature characterizes the…

Artificial Intelligence · Computer Science 2017-06-29 Michele Flammini , Gianpiero Monaco , Qiang Zhang

We tackle the problem of learning equilibria in simulation-based games. In such games, the players' utility functions cannot be described analytically, as they are given through a black-box simulator that can be queried to obtain noisy…

Computer Science and Game Theory · Computer Science 2020-02-26 Alberto Marchesi , Francesco Trovò , Nicola Gatti

Local solutions for variational and quasi-variational inequalities are usually the best type of solutions that could practically be obtained when in case of lack of convexity or else when available numerical techniques are too limited for…

Optimization and Control · Mathematics 2024-05-16 Didier Aussel , Parin Chaipunya

We provide a logical characterization of non-deterministic polynomial time defined by BSS machines over semirings via existential second-order logic interpreted in the semiring semantics developed by Gr\"adel and Tannen. Furthermore, we…

Logic in Computer Science · Computer Science 2025-10-01 Timon Barlag , Nicolas Fröhlich , Teemu Hankala , Miika Hannula , Minna Hirvonen , Vivian Holzapfel , Juha Kontinen , Arne Meier , Laura Strieker

Game semantics provides an interactive point of view on proofs, which enables one to describe precisely their dynamical behavior during cut elimination, by considering formulas as games on which proofs induce strategies. We are specifically…

Logic in Computer Science · Computer Science 2015-05-18 Samuel Mimram