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We provide a novel approach to achieving a desired outcome in a coordination game: the original 2x2 game is embedded in a 2x3 game where one of the players may use a third action. For a large set of payoff values only one of the Nash…

Computer Science and Game Theory · Computer Science 2024-01-22 Sofia B. S. D. Castro

In this paper we study team-symmetric games with $m\ge 2$ teams. Players within a team have symmetric identity and have a common payoff function. We show that team-symmetric games always have a team-symmetric Nash equilibrium. We develop…

Multiagent Systems · Computer Science 2026-05-14 Duan-Shin Lee , Yu-Hsiu Hung

We study the application of iterative first-order methods to the problem of computing equilibria of large-scale two-player extensive-form games. First-order methods must typically be instantiated with a regularizer that serves as a…

Computer Science and Game Theory · Computer Science 2021-10-14 Gabriele Farina , Christian Kroer , Tuomas Sandholm

We introduce a new non-zero-sum game of optimal stopping with asymmetric exercise opportunities. Given a stochastic process modelling the value of an asset, one player observes and can act on the process continuously, while the other player…

Probability · Mathematics 2024-05-16 José Luis Pérez , Neofytos Rodosthenous , Kazutoshi Yamazaki

We study reinforcement learning for two-player zero-sum Markov games with simultaneous moves in the finite-horizon setting, where the transition kernel of the underlying Markov games can be parameterized by a linear function over the…

Machine Learning · Computer Science 2022-04-21 Zixiang Chen , Dongruo Zhou , Quanquan Gu

The standard game-theoretic solution concept, Nash equilibrium, assumes that all players behave rationally. If we follow a Nash equilibrium and opponents are irrational (or follow strategies from a different Nash equilibrium), then we may…

Computer Science and Game Theory · Computer Science 2023-08-22 Sam Ganzfried

We describe an algorithm for computing best response strategies in a class of two-player infinite games of incomplete information, defined by payoffs piecewise linear in agents' types and actions, conditional on linear comparisons of…

Computer Science and Game Theory · Computer Science 2012-07-19 Daniel Reeves , Michael P. Wellman

We study a setting in which two players play a (possibly approximate) Nash equilibrium of a bimatrix game, while a learner observes only their actions and has no knowledge of the equilibrium or the underlying game. A natural question is…

Computer Science and Game Theory · Computer Science 2026-05-27 Annalisa Barbara , Riccardo Poiani , Martino Bernasconi , Andrea Celli

We consider multi-agent decision making, where each agent optimizes its cost function subject to constraints. Agents' actions belong to a compact convex Euclidean space and the agents' cost functions are coupled. We propose a distributed…

Optimization and Control · Mathematics 2016-12-01 Tatiana Tatarenko , Maryam Kamgarpour

We consider a nonzero-sum N-player Markov game on an abstract measurable state space with compact metric action spaces. The payoff functions are bounded Carath\'eodory functions and the transitions of the system are assumed to have a…

Optimization and Control · Mathematics 2023-05-09 François Dufour , Tomás Prieto-Rumeau

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 consider shared workspace scenarios with humans and robots acting to achieve independent goals, termed as parallel play. We model these as general-sum games and construct a framework that utilizes the Nash equilibrium solution concept to…

Artificial Intelligence · Computer Science 2020-06-11 Shray Bansal , Jin Xu , Ayanna Howard , Charles Isbell

We study an optimal targeting problem for super-modular games with binary actions and finitely many players. The considered problem consists in the selection of a subset of players of minimum size such that, when the actions of these…

Computer Science and Game Theory · Computer Science 2020-09-22 Giacomo Como , Stéphane Durand , Fabio Fagnani

We study pure-strategy Nash equilibria in multi-player concurrent deterministic games, for a variety of preference relations. We provide a novel construction, called the suspect game, which transforms a multi-player concurrent game into a…

Logic in Computer Science · Computer Science 2017-01-11 Patricia Bouyer , Romain Brenguier , Nicolas Markey , Michael Ummels

We propose a generic strategic network resource sharing game between a set of players representing operators. The players negotiate which sets of players share given resources, serving users with varying sensitivity to interference. We…

Computer Science and Game Theory · Computer Science 2016-05-31 Sofonias Hailu , Ragnar Freij-Hollanti , Alexis A. Dowhuszko , Olav Tirkkonen

This paper introduces a unified framework called cooperative extensive form games, which (i) generalizes standard non-cooperative games, and (ii) allows for more complex coalition formation dynamics than previous concepts like…

Theoretical Economics · Economics 2023-09-27 Mehmet S. Ismail

We improve the framework of open games with agency by showing how the players' counterfactual analysis giving rise to Nash equilibria can be described in the dynamics of the game itself (hence diegetically), getting rid of devices such as…

Computer Science and Game Theory · Computer Science 2023-08-01 Matteo Capucci

Since the seminal PPAD-completeness result for computing a Nash equilibrium even in two-player games, an important line of research has focused on relaxations achievable in polynomial time. In this paper, we consider the notion of…

Computer Science and Game Theory · Computer Science 2022-07-15 Argyrios Deligkas , Michail Fasoulakis , Evangelos Markakis

We propose a novel decision making framework for forming potential collaboration among otherwise competing agents in subsurface systems. The agents can be, e.g., groundwater, CO$_2$, or hydrogen injectors and extractors with conflicting…

Optimization and Control · Mathematics 2025-02-28 Per Pettersson , Sebastian Krumscheid , Sarah Gasda

In this paper we describe an argumentation-based representation of normal form games, and demonstrate how argumentation can be used to compute pure strategy Nash equilibria. Our approach builds on Modgil's Extended Argumentation Frameworks.…

Artificial Intelligence · Computer Science 2020-06-22 Bruno Yun , Srdjan Vesic , Nir Oren