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This paper deals with the complexity of the problem of computing a pure Nash equilibrium for discrete preference games and network coordination games beyond $O(\log n)$-treewidth and tree metric spaces. First, we estimate the number of…

Computer Science and Game Theory · Computer Science 2022-07-05 Takashi Ishizuka , Naoyuki Kamiyama

We prove communication complexity lower bounds for (possibly mixed) Nash equilibrium in potential games. In particular, we show that finding a Nash equilibrium requires $poly(N)$ communication in two-player $N \times N$ potential games, and…

Computer Science and Game Theory · Computer Science 2020-11-16 Yakov Babichenko , Aviad Rubinstein

This paper considers a distributed Nash equilibrium seeking problem, where the players only have partial access to other players' actions, such as their neighbors' actions. Thus, the players are supposed to communicate with each other to…

Optimization and Control · Mathematics 2020-03-31 Yipeng Pang , Guoqiang Hu

We show that the problem of finding an {\epsilon}-approximate Nash equilibrium in an anonymous game with seven pure strategies is complete in PPAD, when the approximation parameter {\epsilon} is exponentially small in the number of players.

Computer Science and Game Theory · Computer Science 2014-12-19 Xi Chen , David Durfee , Anthi Orfanou

We consider a network composed of two interfering point-to-point links where the two transmitters can exploit one common relay node to improve their individual transmission rate. Communications are assumed to be multi-band and transmitters…

Information Theory · Computer Science 2015-03-17 E. V. Belmega , S. Lasaulce

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

Computer Science and Game Theory · Computer Science 2026-05-20 Léonard Brice

One key in real-life Nash equilibrium applications is to calibrate players' cost functions. To leverage the approximation ability of neural networks, we proposed a general framework for optimizing and learning Nash equilibrium using neural…

Computer Science and Game Theory · Computer Science 2024-09-04 Di Zhang , Wei Gu , Qing Jin

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…

Optimization and Control · Mathematics 2020-02-25 Muhammad Umar B. Niazi , Arif Bülent Özgüler

In this article, we revisit a communication-control co-design problem for a class of two-player stochastic differential games on an infinite horizon. Each 'player' represents two active decision makers, namely a scheduler and a remote…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Shubham Aggarwal , Tamer Başar , Dipankar Maity

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

In this paper, we consider a Nash equilibrium seeking problem for a class of high-order multi-agent systems with unknown dynamics. Different from existing results for single integrators, we aim to steer the outputs of this class of…

Systems and Control · Electrical Eng. & Systems 2021-01-11 Yutao Tang , Peng Yi

Building upon the results in [Hinterm\"uller et al., SIAM J. Optim, '15], generalized Nash equilibrium problems are considered, in which the feasible set of each player is influenced by the decisions of their competitors. This is realized…

Optimization and Control · Mathematics 2021-10-22 Steven-Marian Stengl

We consider the classical secret sharing problem in the case where all agents are selfish but rational. In recent work, Kol and Naor show that, when there are two players, in the non-simultaneous communication model, i.e. when rushing is…

Data Structures and Algorithms · Computer Science 2012-05-04 Varsha Dani , Mahnush Movahedi , Jared Saia

We address the generalized Nash equilibrium seeking problem for a population of agents playing aggregative games with affine coupling constraints. We focus on semi-decentralized communication architectures, where there is a central…

Optimization and Control · Mathematics 2022-06-16 Giuseppe Belgioioso , Sergio Grammatico

In socio-technical multi-agent systems, deception exploits privileged information to induce false beliefs in "victims," keeping them oblivious and leading to outcomes detrimental to them or advantageous to the deceiver. We consider…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Michael Tang , Umar Javed , Xudong Chen , Miroslav Krstic , Jorge I. Poveda

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

In many real-world settings agents engage in strategic interactions with multiple opposing agents who can employ a wide variety of strategies. The standard approach for designing agents for such settings is to compute or approximate a…

Computer Science and Game Theory · Computer Science 2024-07-30 Sam Ganzfried , Kevin A. Wang , Max Chiswick

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…

Computer Science and Game Theory · Computer Science 2022-12-06 Anthony DiGiovanni , Jesse Clifton

We present a novel polynomial time approximation scheme for two-strategy anonymous games, in which the players' utility functions, although potentially different, do not differentiate among the identities of the other players. Our algorithm…

Computer Science and Game Theory · Computer Science 2008-12-15 Constantinos Daskalakis

We study techniques to incentivize self-interested agents to form socially desirable solutions in scenarios where they benefit from mutual coordination. Towards this end, we consider coordination games where agents have different intrinsic…

Computer Science and Game Theory · Computer Science 2014-04-21 Elliot Anshelevich , Shreyas Sekar
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