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We explore the behaviour emerging from learning agents repeatedly interacting strategically for a wide range of learning dynamics, including $Q$-learning, projected gradient, replicator and log-barrier dynamics. Going beyond the better…

Computer Science and Game Theory · Computer Science 2026-03-04 Galit Askenazi-Golan , Domenico Mergoni Cecchelli , Edward Plumb , Clemens Possnig

This paper investigates first-order game logic and first-order modal mu-calculus, which extend their propositional modal logic counterparts with first-order modalities of interpreted effects such as variable assignments. Unlike in the…

Logic in Computer Science · Computer Science 2022-02-14 Noah Abou El Wafa , André Platzer

We propose a logical framework combining a game-theoretic study of abilities of agents to achieve quantitative objectives in multi-player games by optimizing payoffs or preferences on outcomes with a logical analysis of the abilities of…

Logic in Computer Science · Computer Science 2013-03-05 Nils Bulling , Valentin Goranko

We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

Computer Science and Game Theory · Computer Science 2014-12-10 Joseph Y. Halpern , Rafael Pass

Spatial concurrent constraint programming (SCCP) is an algebraic model of spatial modalities in constrained-based process calculi; it can be used to reason about spatial information distributed among the agents of a system. This work…

Logic in Computer Science · Computer Science 2018-05-22 Miguel Romero , Camilo Rocha

We explore a broad class of values for cooperative games in characteristic function form, known as \emph{compromise values\/}. These values efficiently allocate payoffs by linearly combining well-specified upper and lower bounds on payoffs.…

Theoretical Economics · Economics 2025-10-15 Robert P. Gilles , René van den Brink

This paper deals with an extension of the concept of correlated strategies to Markov stopping games. The Nash equilibrium approach to solving nonzero-sum stopping games may give multiple solutions. An arbitrator can suggest to each player…

Optimization and Control · Mathematics 2020-11-23 David M. Ramsey , Krzysztof Szajowski

Several variants of nonlocal games have been considered in the study of quantum entanglement and nonlocality. This paper concerns two of these variants, called quantum-classical games and extended nonlocal games. We give a construction of…

Quantum Physics · Physics 2017-09-07 Vincent Russo , John Watrous

We build a cartesian closed category, called Cho, based on event structures. It allows an interpretation of higher-order stateful concurrent programs that is refined and precise: on the one hand it is conservative with respect to standard…

Logic in Computer Science · Computer Science 2023-06-22 Simon Castellan , Pierre Clairambault , Glynn Winskel

Spoiler-Duplicator games are used in finite model theory to examine the expressive power of logics. Their strategies have recently been reformulated as coKleisli maps of game comonads over relational structures, providing new results in…

Logic in Computer Science · Computer Science 2025-06-17 Yoàv Montacute , Glynn Winskel

In a discrete space and time framework, we study the mean field game limit for a class of symmetric $N$-player games based on the notion of correlated equilibrium. We give a definition of correlated solution that allows to construct…

Optimization and Control · Mathematics 2022-12-06 Ofelia Bonesini , Luciano Campi , Markus Fischer

Markov games with coupling constraints model constrained dynamical decision-making involving self-interested agents, where the feasibility of an individual agent's strategy depends on the joint strategies of the others. Such games arise in…

Computer Science and Game Theory · Computer Science 2026-05-27 Tingting Ni , Anna Maddux , Maryam Kamgarpour

Imperfect-recall abstraction has emerged as the leading paradigm for practical large-scale equilibrium computation in incomplete-information games. However, imperfect-recall abstractions are poorly understood, and only weak…

Computer Science and Game Theory · Computer Science 2016-06-07 Christian Kroer , Tuomas Sandholm

We extend to general Cartesian categories the idea of Coherent Differentiation recently introduced by Ehrhard in the setting of categorical models of Linear Logic. The first ingredient is a summability structure which induces a partial…

Logic in Computer Science · Computer Science 2023-06-08 Thomas Ehrhard , Aymeric Walch

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

Computer Science and Game Theory · Computer Science 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Using the Logit quantal response form as the response function in each step, the original definition of static quantal response equilibrium (QRE) is extended into an iterative evolution process. QREs remain as the fixed points of the…

Physics and Society · Physics 2015-06-17 Qian Zhuang , Zegnru Di , Jinshan Wu

Categories of polymorphic lenses in computer science, and of open games in compositional game theory, have a curious structure that is reminiscent of compact closed categories, but differs in some crucial ways. Specifically they have a…

Category Theory · Mathematics 2017-09-19 Jules Hedges

We consider quantitative extensions of the alternating-time temporal logics ATL/ATLs called quantitative alternating-time temporal logics (QATL/QATLs) in which the value of a counter can be compared to constants using equality, inequality…

Logic in Computer Science · Computer Science 2014-09-22 Steen Vester

We use the example of playing a 2-player game with entangled quantum objects to investigate the effect of quantum correlation. We find that for simple game scenarios it is classical correlation that is the central feature and that these…

Quantum Physics · Physics 2013-05-21 Simon J. D. Phoenix , Faisal Shah Khan

Cirquent calculus is a proof system manipulating circuit-style constructs rather than formulas. Using it, this article constructs a sound and complete axiomatization CL16 of the propositional fragment of computability logic (the…

Logic in Computer Science · Computer Science 2017-07-18 Giorgi Japaridze