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We study a very general class of games --- multi-dimensional aggregative games --- which in particular generalize both anonymous games and weighted congestion games. For any such game that is also large, we solve the equilibrium selection…

Data Structures and Algorithms · Computer Science 2015-02-26 Rachel Cummings , Michael Kearns , Aaron Roth , Zhiwei Steven Wu

A mediator is a mechanism that can only suggest actions to players, as a function of all agents' reported types, in a given game of incomplete information. We study what is achievable by two kinds of mediators, "strong" and "weak." Players…

Computer Science and Game Theory · Computer Science 2015-12-14 Michael Kearns , Mallesh M. Pai , Ryan Rogers , Aaron Roth , Jonathan Ullman

We revisit a classic coordination problem from the perspective of mechanism design: how can we coordinate a social welfare maximizing flow in a network congestion game with selfish players? The classical approach, which computes tolls as a…

Computer Science and Game Theory · Computer Science 2015-05-11 Ryan Rogers , Aaron Roth , Jonathan Ullman , Zhiwei Steven Wu

We consider a class of two-player dynamic stochastic nonzero-sum games where the state transition and observation equations are linear, and the primitive random variables are Gaussian. Each controller acquires possibly different dynamic…

Systems and Control · Computer Science 2014-01-21 Abhishek Gupta , Ashutosh Nayyar , Cedric Langbort , Tamer Basar

A model of stochastic games where multiple controllers jointly control the evolution of the state of a dynamic system but have access to different information about the state and action processes is considered. The asymmetry of information…

Computer Science and Game Theory · Computer Science 2012-09-18 Ashutosh Nayyar , Abhishek Gupta , Cédric Langbort , Tamer Başar

For common notions of correlated equilibrium in extensive-form games, computing an optimal (e.g., welfare-maximizing) equilibrium is NP-hard. Other equilibrium notions -- communication (Forges 1986) and certification (Forges & Koessler…

Computer Science and Game Theory · Computer Science 2022-12-02 Brian Hu Zhang , Tuomas Sandholm

It is well known that a non-cooperative game may have multiple equilibria. In this paper we consider the efficiency of games, measured by the ratio between the aggregate payoff over all Nash equilibria and that over all admissible controls.…

Computer Science and Game Theory · Computer Science 2025-08-20 Jianfeng Zhang

Deception plays a critical role in many interactions in communication and network security. Game-theoretic models called "cheap talk signaling games" capture the dynamic and information asymmetric nature of deceptive interactions. But…

Cryptography and Security · Computer Science 2017-10-17 Jeffrey Pawlick , Quanyan Zhu

This paper introduces risk-revising players to a class of games with incomplete information. These players enter the game with ex ante risk preferences represented by coherent risk measures and develop time-consistent interim revisions of…

Optimization and Control · Mathematics 2026-03-23 Shutian Liu

Secure equilibrium is a refinement of Nash equilibrium, which provides some security to the players against deviations when a player changes his strategy to another best response strategy. The concept of secure equilibrium is specifically…

Computer Science and Game Theory · Computer Science 2014-05-08 Julie De Pril , János Flesch , Jeroen Kuipers , Gijs Schoenmakers , Koos Vrieze

Computing an equilibrium in congestion games can be challenging when the number of players is large. Yet, it is a problem to be addressed in practice, for instance to forecast the state of the system and be able to control it. In this work,…

Computer Science and Game Theory · Computer Science 2018-10-04 Cheng Wan , Paulin Jacquot , Olivier Beaude , Nadia Oudjane

We study the problem of implementing equilibria of complete information games in settings of incomplete information, and address this problem using "recommender mechanisms." A recommender mechanism is one that does not have the power to…

Computer Science and Game Theory · Computer Science 2015-12-11 Michael Kearns , Mallesh M. Pai , Aaron Roth , Jonathan Ullman

In their seminal work, Nayyar et al. (2013) showed that imperfect information can be abstracted away from common-payoff games by having players publicly announce their policies as they play. This insight underpins sound solvers and…

Computer Science and Game Theory · Computer Science 2023-08-02 Samuel Sokota , Ryan D'Orazio , Chun Kai Ling , David J. Wu , J. Zico Kolter , Noam Brown

Games with incomplete preferences are an important model for studying rational decision-making in scenarios where players face incomplete information about their preferences and must contend with incomparable outcomes. We study the problem…

Computer Science and Game Theory · Computer Science 2024-08-13 Abhishek N. Kulkarni , Jie Fu , Ufuk Topcu

There has been significant recent progress in algorithms for approximation of Nash equilibrium in large two-player zero-sum imperfect-information games and exact computation of Nash equilibrium in multiplayer strategic-form games. While…

Computer Science and Game Theory · Computer Science 2025-10-01 Sam Ganzfried

In this paper, we consider a distributed Bayesian Nash equilibrium (BNE) seeking problem in incomplete-information aggregative games, which is a generalization of Bayesian games and deterministic aggregative games. We handle the aggregation…

Optimization and Control · Mathematics 2023-09-19 Hanzheng Zhang , Guanpu Chen , Huashu Qin

In this paper, we introduce malicious Bayesian congestion games as an extension to congestion games where players might act in a malicious way. In such a game each player has two types. Either the player is a rational player seeking to…

Computer Science and Game Theory · Computer Science 2008-06-05 Martin Gairing

Claude Shannon's zero-error communication paradigm reshaped our understanding of fault-tolerant information transfer. Here, we adapt this notion into game theory with incomplete information. We ask: can players with private information…

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…

Computer Science and Game Theory · Computer Science 2025-04-28 Jason Castiglione , Gürdal Arslan

Nash equilibrium is a popular solution concept for solving imperfect-information games in practice. However, it has a major drawback: it does not preclude suboptimal play in branches of the game tree that are not reached in equilibrium.…

Computer Science and Game Theory · Computer Science 2017-05-29 Christian Kroer , Gabriele Farina , Tuomas Sandholm
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