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We consider perfect-information reachability stochastic games for 2 players on infinite graphs. We identify a subclass of such games, and prove two interesting properties of it: first, Player Max always has optimal strategies in games from…

Computer Science and Game Theory · Computer Science 2011-06-10 Václav Brožek

The peculiarity of adversarial team games resides in the asymmetric information available to the team members during the play, which makes the equilibrium computation problem hard even with zero-sum payoffs. The algorithms available in the…

Computer Science and Game Theory · Computer Science 2022-01-26 Luca Carminati , Federico Cacciamani , Marco Ciccone , Nicola Gatti

The mean-field analysis of a multi-population agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markow-type jump process on the probability that each agent has of belonging to a given…

Analysis of PDEs · Mathematics 2019-07-12 Marco Morandotti , Francesco Solombrino

We consider the interaction among agents engaging in a driving task and we model it as general-sum game. This class of games exhibits a plurality of different equilibria posing the issue of equilibrium selection. While selecting the most…

\emph{Ex ante} correlation is becoming the mainstream approach for \emph{sequential adversarial team games}, where a team of players faces another team in a zero-sum game. It is known that team members' asymmetric information makes both…

Computer Science and Game Theory · Computer Science 2022-06-22 Luca Carminati , Federico Cacciamani , Marco Ciccone , Nicola Gatti

Within the context of video games the notion of perfectly rational agents can be undesirable as it leads to uninteresting situations, where humans face tough adversarial decision makers. Current frameworks for stochastic games and…

Artificial Intelligence · Computer Science 2019-01-09 Jordi Grau-Moya , Felix Leibfried , Haitham Bou-Ammar

Zero-sum stochastic games generalize the notion of Markov Decision Processes (i.e. controlled Markov chains, or stochastic dynamic programming) to the 2-player competitive case : two players jointly control the evolution of a state…

Optimization and Control · Mathematics 2019-05-17 Jérôme Renault

Decentralized team problems where players have asymmetric information about the state of the underlying stochastic system have been actively studied, but \emph{games} between such teams are less understood. We consider a general model of…

Multiagent Systems · Computer Science 2021-09-29 Dhruva Kartik , Ashutosh Nayyar , Urbashi Mitra

Self-interested behavior in sharing economies often leads to inefficient aggregate outcomes compared to a centrally coordinated allocation, ultimately harming users. Yet, centralized coordination removes individual decision power. This…

Computer Science and Game Theory · Computer Science 2026-03-20 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

This paper suggests a model for the motion of tagged pedestrians: pedestrians moving towards a specified targeted destination, which they are forced to reach. It aims to be a decision-making tool for the positioning of fire fighters,…

Optimization and Control · Mathematics 2019-02-25 Alexander Aurell , Boualem Djehiche

Strategic diversity is often essential in games: in multi-player games, for example, evaluating a player against a diverse set of strategies will yield a more accurate estimate of its performance. Furthermore, in games with…

Artificial Intelligence · Computer Science 2021-10-11 Marta Garnelo , Wojciech Marian Czarnecki , Siqi Liu , Dhruva Tirumala , Junhyuk Oh , Gauthier Gidel , Hado van Hasselt , David Balduzzi

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Juergen Jost , Wei Li

This paper provides sufficient conditions for the existence of solutions for two-person zero-sum games with inf/sup-compact payoff functions and with possibly noncompact decision sets for both players. Payoff functions may be unbounded, and…

Optimization and Control · Mathematics 2021-12-22 Eugene A. Feinberg , Pavlo O. Kasyanov , Michael Z. Zgurovsky

Synthesizing near-optimal mixed strategies for zero-sum differential games (ZSDGs) has been a longstanding challenge. Existing research mainly focuses on characterizing the theoretical value function, while the practical design of…

Optimization and Control · Mathematics 2026-05-13 Tao Xu , Wang Xi , Jianping He

We consider an autonomous navigation problem, whereby a traveler aims at traversing an environment in which an adversary tries to set an ambush. A two players zero sum game is introduced. Players' strategies are computed as random path…

Robotics · Computer Science 2016-12-08 Emmanuel Boidot , Aude Marzuoli , Eric Feron

Independent learners are agents that employ single-agent algorithms in multi-agent systems, intentionally ignoring the effect of other strategic agents. This paper studies mean-field games from a decentralized learning perspective, with two…

Computer Science and Game Theory · Computer Science 2025-02-04 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

In the context of large population symmetric games, approximate Nash equilibria are introduced through equilibrium solutions of the corresponding mean field game in the sense that the individual gain from optimal unilateral deviation under…

Computer Science and Game Theory · Computer Science 2026-01-30 Mao Fabrice Djete , Nizar Touzi

A new approach for the description of phenomena of social aggregation is suggested. On the basis of psychological concepts (as for instance social norms and cultural coordinates), we deduce a general mechanism for the social aggregation in…

Physics and Society · Physics 2011-04-29 Daniele Vilone , Andrea Guazzini

In this work, we study a class of stationary mean-field games of singular stochastic control under model uncertainty. The representative agent adjusts the dynamics of an It\^o diffusion via one-sided singular stochastic control, aiming to…

Optimization and Control · Mathematics 2025-05-14 Giorgio Ferrari , Ioannis Tzouanas

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