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We consider regret minimization in repeated games with a very large number of actions. Such games are inherent in the setting of AI Safety via Debate \cite{irving2018ai}, and more generally games whose actions are language-based. Existing…

Computer Science and Game Theory · Computer Science 2024-07-12 Xinyi Chen , Angelica Chen , Dean Foster , Elad Hazan

Game-theoretic concepts have been extensively studied in economics to provide insight into competitive behaviour and strategic decision making. As computing systems increasingly involve concurrently acting autonomous agents, game-theoretic…

Formal Languages and Automata Theory · Computer Science 2022-07-01 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos , Rui Yan

We show how to add and eliminate binary preference on plays in Alternating-time Temporal Logic (ATL) with strategy contexts on Concurrent Game Models (CGMs) by means of a translation which preserves satisfaction in models where…

Logic in Computer Science · Computer Science 2026-02-12 Dimitar P. Guelev

In this paper, we study the continuous-time consensus problem in the presence of adversaries. The networked multi-agent system is modeled as a switched system, where the normal agents have integrator dynamics and the switching signal…

Systems and Control · Computer Science 2013-03-13 Heath J. LeBlanc , Haotian Zhang , Shreyas Sundaram , Xenofon Koutsoukos

We introduce two variants of computation tree logic CTL based on team semantics: an asynchronous one and a synchronous one. For both variants we investigate the computational complexity of the satisfiability as well as the model checking…

Logic in Computer Science · Computer Science 2015-07-15 Andreas Krebs , Arne Meier , Jonni Virtema

Large Language Models (LLMs) demonstrate significant potential in multi-agent negotiation tasks, yet evaluation in this domain remains challenging due to a lack of robust and generalizable benchmarks. Abdelnabi et al. (2024) introduce a…

Machine Learning · Computer Science 2026-02-24 Jorge Carrasco Pollo , Ioannis Kapetangeorgis , Joshua Rosenthal , John Hua Yao

We investigate uniformity properties of strategies. These properties involve sets of plays in order to express useful constraints on strategies that are not \mu-calculus definable. Typically, we can state that a strategy is…

Computer Science and Game Theory · Computer Science 2013-03-05 Bastien Maubert , Sophie Pinchinat , Laura Bozzelli

We study computational problems arising from the iterated removal of weakly dominated actions in anonymous games. Our main result shows that it is NP-complete to decide whether an anonymous game with three actions can be solved via iterated…

Computer Science and Game Theory · Computer Science 2015-02-06 Felix Brandt , Felix Fischer , Markus Holzer

Estimating discrete games of complete information is often computationally difficult due to partial identification and the absence of closed-form moment characterizations. This paper proposes computationally tractable approaches to…

Econometrics · Economics 2025-10-02 Paul S. Koh

We study testable implications of multiple equilibria in discrete games with incomplete information. Unlike de Paula and Tang (2012), we allow the players' private signals to be correlated. In static games, we leverage independence of…

Econometrics · Economics 2020-12-03 Aureo de Paula , Xun Tang

Population protocols have been introduced as a model of sensor networks consisting of very limited mobile agents with no control over their own movement: A collection of anonymous agents, modeled by finite automata, interact in pairs…

Computer Science and Game Theory · Computer Science 2009-06-18 Olivier Bournez , Jérémie Chalopin , Johanne Cohen , Xavier Koegler

Ensuring robust decision-making in multi-agent systems is challenging when agents have distinct, possibly conflicting objectives and lack full knowledge of each other's strategies. This is apparent in safety-critical applications such as…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Francesco Bianchin , Robert Lefringhausen , Elisa Gaetan , Samuel Tesfazgi , Sandra Hirche

Strategy Logic (SL, for short) has been recently introduced by Mogavero, Murano, and Vardi as a useful formalism for reasoning explicitly about strategies, as first-order objects, in multi-agent concurrent games. This logic turns to be very…

Logic in Computer Science · Computer Science 2015-03-20 Fabio Mogavero , Aniello Murano , Giuseppe Perelli , Moshe Y. Vardi

We propose a distributed algorithm to compute an equilibrium in aggregate games where players communicate over a fixed undirected network. Our algorithm exploits correlated perturbation to obfuscate information shared over the network. We…

Optimization and Control · Mathematics 2019-12-16 Shripad Gade , Anna Winnicki , Subhonmesh Bose

We investigate the dynamics of a trust game on a mixed population where individuals with the role of buyers are forced to play against a predetermined number of sellers, whom they choose dynamically. Agents with the role of sellers are also…

General Finance · Quantitative Finance 2013-01-11 Tiago P. Peixoto , Stefan Bornholdt

Automated verification techniques for stochastic games allow formal reasoning about systems that feature competitive or collaborative behaviour among rational agents in uncertain or probabilistic settings. Existing tools and techniques…

Logic in Computer Science · Computer Science 2020-09-01 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

We present efficient approximation algorithms for finding Nash equilibria in anonymous games, that is, games in which the players utilities, though different, do not differentiate between other players. Our results pertain to such games…

Computer Science and Game Theory · Computer Science 2007-10-31 Constantinos Daskalakis , Christos Papadimitriou

Stochastic multi-agent systems are a central modeling framework for autonomous controllers, communication protocols, and cyber-physical infrastructures. In many such systems, however, transition probabilities are only estimated from data…

Logic in Computer Science · Computer Science 2026-02-17 Raphaël Berthon , Joost-Pieter Katoen , Munyque Mittelmann , Aniello Murano

The landscape of Large Language Models (LLMs) shifts rapidly towards dynamic, multi-agent systems. This introduces a fundamental challenge in establishing computational trust, specifically how one agent can verify that another's output was…

Artificial Intelligence · Computer Science 2025-09-16 Zan-Kai Chong , Hiroyuki Ohsaki , Bryan Ng

Calibrated strategies can be obtained by performing strategies that have no internal regret in some auxiliary game. Such strategies can be constructed explicitly with the use of Blackwell's approachability theorem, in an other auxiliary…

Computer Science and Game Theory · Computer Science 2010-07-28 Vianney Perchet