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We discuss and solve a model for a game with many players, where a subset of truely deciding players is embedded into a hierarchy of dependent agents. These interdependencies modify the game matrix and the Nash equilibria for the deciding…

计算机科学与博弈论 · 计算机科学 2015-04-16 Elisabeth Kraus , Simon D. Lentner

Finite objects and more specifically finite games are formalized using induction, whereas infinite objects are formalized using coinduction. In this article, after an introduction to the concept of coinduction, we revisit on infinite…

计算机科学与博弈论 · 计算机科学 2009-04-28 Pierre Lescanne

Game semantics is a rich and successful class of denotational models for programming languages. Most game models feature a rather intuitive setup, yet surprisingly difficult proofs of such basic results as associativity of composition of…

计算机科学中的逻辑 · 计算机科学 2017-11-30 Clovis Eberhart , Tom Hirschowitz

The actions of intelligent agents, such as chatbots, recommender systems, and virtual assistants are typically not fully transparent to the user. Consequently, using such an agent involves the user exposing themselves to the risk that the…

计算机科学与博弈论 · 计算机科学 2020-07-23 The Anh Han , Cedric Perret , Simon T. Powers

A noncooperative differential (dynamic) game model of opinion dynamics is proposed. In this game, the agents' motives are shaped by their expectations of the nature of others' opinions as well as how susceptible they are to get influenced…

最优化与控制 · 数学 2020-02-25 Muhammad Umar B. Niazi , Arif Bülent Özgüler

We consider the problem of predicting human players' actions in repeated strategic interactions. Our goal is to predict the dynamic step-by-step behavior of individual players in previously unseen games. We study the ability of neural…

计算机科学与博弈论 · 计算机科学 2019-11-11 Yoav Kolumbus , Gali Noti

We study the distribution of strategies in a large game that models how agents choose among different double auction markets. We classify the possible mean field Nash equilibria, which include potentially segregated states where an agent…

计算机科学与博弈论 · 计算机科学 2018-09-05 Robin Nicole , Peter Sollich

We unify standard frameworks for approachability both in full or partial monitoring by defining a new abstract game, called the "purely informative game", where the outcome at each stage is the maximal information players can obtain,…

计算机科学与博弈论 · 计算机科学 2013-01-17 Vianney Perchet , Marc Quincampoix

Observable games are game situations that reach one of possibly many Nash equilibria. Before an instance of the game starts, an external observer does not know, a priori, what is the exact profile of actions that will occur; thus, he…

计算机科学与博弈论 · 计算机科学 2022-01-04 Sandro Preto , Eduardo Fermé , Marcelo Finger

This paper investigates the evaluation of learned multiagent strategies in the incomplete information setting, which plays a critical role in ranking and training of agents. Traditionally, researchers have relied on Elo ratings for this…

多智能体系统 · 计算机科学 2020-01-13 Mark Rowland , Shayegan Omidshafiei , Karl Tuyls , Julien Perolat , Michal Valko , Georgios Piliouras , Remi Munos

We introduce the class of pay or play games, which captures scenarios in which each decision maker is faced with a choice between two actions: one with a fixed payoff and an- other with a payoff dependent on others' selected actions. This…

计算机科学与博弈论 · 计算机科学 2013-09-27 Sigal Oren , Michael Schapira , Moshe Tennenholtz

An agent who interacts with a wide population of other agents needs to be aware that there may be variations in their understanding of the world. Furthermore, the machinery which they use to perceive may be inherently different, as is the…

人工智能 · 计算机科学 2019-11-20 Rodolfo Corona , Stephan Alaniz , Zeynep Akata

We introduce the topic of learning in multiagent systems. We first provide a quick introduction to the field of game theory, focusing on the equilibrium concepts of iterated dominance, and Nash equilibrium. We show some of the most relevant…

多智能体系统 · 计算机科学 2009-09-29 Jose M. Vidal

Realizability asks whether there exists a program satisfying its specification. In this problem, we assume that each agent has her own objective and behaves rationally to satisfy her objective. Traditionally, the rationality of agents is…

计算机科学与博弈论 · 计算机科学 2024-09-20 Rindo Nakanishi , Yoshiaki Takata , Hiroyuki Seki

A combinatorial game is a two-player game without hidden information or chance elements. The main object of combinatorial game theory is to obtain the outcome, which player has a winning strategy, of a given combinatorial game. Positions of…

组合数学 · 数学 2025-11-27 Kengo Hashimoto

We introduce a general representation of large-population games in which each player s influence ON the others IS centralized AND limited, but may otherwise be arbitrary.This representation significantly generalizes the class known AS…

计算机科学与博弈论 · 计算机科学 2013-01-07 Michael Kearns , Yishay Mansour

Nash equilibrium is a key concept in game theory fundamental for elucidating the equilibrium state of strategic interactions, finding applications in diverse fields such as economics, political science, and biology. However, the Nash…

计算机科学与博弈论 · 计算机科学 2024-04-02 Elie Eshoa , Ali R. Zomorrodi

We develop a scheme based on active learning to compute equilibria in a generalized Nash equilibrium problem (GNEP). Specifically, an external observer (or entity), with little knowledge on the multi-agent process at hand, collects sensible…

最优化与控制 · 数学 2025-05-08 Barbara Franci , Filippo Fabiani , Alberto Bemporad

We study the long-term behavior of the fictitious play process in repeated extensive-form games of imperfect information with perfect recall. Each player maintains incorrect beliefs that the moves at all information sets, except the one at…

计算机科学与博弈论 · 计算机科学 2025-04-28 Jason Castiglione , Gürdal Arslan

We propose an approach to modelling large-scale multi-agent dynamical systems allowing interactions among more than just pairs of agents using the theory of mean field games and the notion of hypergraphons, which are obtained as limits of…

计算机科学与博弈论 · 计算机科学 2022-11-23 Kai Cui , Wasiur R. KhudaBukhsh , Heinz Koeppl