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Algorithms for computing game-theoretic solutions have recently been applied to a number of security domains. However, many of the techniques developed for compact representations of security games do not extend to {\em Bayesian} security…

计算机科学与博弈论 · 计算机科学 2016-04-19 Yuqian Li , Vincent Conitzer , Dmytro Korzhyk

We provide general theoretical foundations for modeling strategic uncertainty in large distributional Bayesian games with general type spaces, using a version of interim correlated rationalizability. We then focus on the case in which…

理论经济学 · 经济学 2025-06-24 Lukasz Balbus , Michael Greinecker , Kevin Reffett , Lukasz Wozny

We consider coalition formation among players in an n-player finite strategic game over infinite horizon. At each time a randomly formed coalition makes a joint deviation from a current action profile such that at new action profile all…

计算机科学与博弈论 · 计算机科学 2015-06-11 Konstantin Avrachenkov , Vikas Vikram Singh

Recently, remarkable progress has been made by approximating Nash equilibrium (NE), correlated equilibrium (CE), and coarse correlated equilibrium (CCE) through function approximation that trains a neural network to predict equilibria from…

计算机科学与博弈论 · 计算机科学 2023-04-28 Zhijian Duan , Yunxuan Ma , Xiaotie Deng

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

计算机科学与博弈论 · 计算机科学 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

We study pure Nash equilibria in infinite-duration games on graphs, with partial visibility of actions but communication (based on a graph) among the players. We show that a simple communication mechanism consisting in reporting the…

计算机科学与博弈论 · 计算机科学 2019-06-27 Patricia Bouyer , Nathan Thomasset

We consider a multi-player non-zero-sum turn-based game (abbreviated as multi-player game) on a finite directed graph. A secure equilibrium (SE) is a strategy profile in which no player has the incentive to deviate from the strategy because…

计算机科学与博弈论 · 计算机科学 2025-09-03 Hiroki Mizuno , Yoshiaki Takata , Hiroyuki Seki

We study power control in optimization and game frameworks. In the optimization framework there is a single decision maker who assigns network resources and in the game framework users share the network resources according to Nash…

网络与互联网体系结构 · 计算机科学 2009-09-29 Eitan Altman , Konstantin Avrachenkov , Andrey Garnaev

Correlated equilibria -- and their generalization $\Phi$-equilibria -- are a fundamental object of study in game theory, offering a more tractable alternative to Nash equilibria in multi-player settings. While computational aspects of…

计算机科学与博弈论 · 计算机科学 2025-10-23 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Gabriele Farina

In this paper, I prove the existence of a pure-strategy Nash equilibrium for a large class of games with nonconvex strategy spaces. Specifically, if each player's strategies form a compact, connected Euclidean neighborhood retract and if…

理论经济学 · 经济学 2023-08-23 Conrad Kosowsky

Game theory is a very profound study on distributed decision-making behavior and has been extensively developed by many scholars. However, many existing works rely on certain strict assumptions such as knowing the opponent's private…

计算机科学与博弈论 · 计算机科学 2020-04-21 Kuo Chun Tsai , Zhu Han

The conditional commitment abilities of mutually transparent computer agents have been studied in previous work on commitment games and program equilibrium. This literature has shown how these abilities can help resolve Prisoner's Dilemmas…

计算机科学与博弈论 · 计算机科学 2022-12-06 Anthony DiGiovanni , Jesse Clifton

We introduce a set-valued solution concept, M equilibrium, to capture empirical regularities from over half a century of game-theory experiments. We show M equilibrium serves as a meta theory for various models that hitherto were considered…

理论经济学 · 经济学 2021-04-20 Jacob K. Goeree , Philippos Louis

We investigate an alternative concept of Nash equilibrium, m-equilibrium, which slightly resembles Harsanyi-Selten risk dominant equilibrium although it is a different notion. M-equilibria provide nontrivial solutions of normal form games…

计算机科学与博弈论 · 计算机科学 2013-06-27 Krzysztof Leśniak

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

Dynamic games are powerful tools to model multi-agent decision-making, yet computing Nash (generalized Nash) equilibria remains a central challenge in such settings. Complexity arises from tightly coupled optimality conditions, nested…

计算机科学与博弈论 · 计算机科学 2026-02-06 Mahdis Rabbani , Navid Mojahed , Shima Nazari

We present a unified framework for characterizing local Nash equilibria in continuous games on either infinite-dimensional or finite-dimensional non-convex strategy spaces. We provide intrinsic necessary and sufficient first- and…

最优化与控制 · 数学 2014-11-11 Lillian J. Ratliff , Samuel A. Burden , S. Shankar Sastry

In nature and society problems arise when different interests are difficult to reconcile, which are modeled in game theory. While most applications assume uncorrelated games, a more detailed modeling is necessary to consider the…

物理与社会 · 物理学 2019-08-21 A. D. Correia , H. T. C. Stoof

In this paper, we present a novel consensus-based zeroth-order algorithm tailored for non-convex multiplayer games. The proposed method leverages a metaheuristic approach using concepts from swarm intelligence to reliably identify global…

动力系统 · 数学 2024-07-30 Enis Chenchene , Hui Huang , Jinniao Qiu

In many cases the Nash equilibria are not predictive of the experimental players' behaviour. For some games of Game Theory it is proposed here a method to estimate the probabilities with which the different options will be actually chosen…

最优化与控制 · 数学 2014-04-10 Cesco Reale