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In the classical communication setting multiple senders having access to the same source of information and transmitting it over channel(s) to a receiver in general leads to a decrease in estimation error at the receiver as compared with…

计算机科学与博弈论 · 计算机科学 2023-06-27 Raj Kiriti Velicheti , Melih Bastopcu , Tamer Başar

We consider two classes of constrained finite state-action stochastic games. First, we consider a two player nonzero sum single controller constrained stochastic game with both average and discounted cost criterion. We consider the same…

最优化与控制 · 数学 2012-06-11 Vikas Vikram Singh , N. Hemachandra

Since the seminal PPAD-completeness result for computing a Nash equilibrium even in two-player games, an important line of research has focused on relaxations achievable in polynomial time. In this paper, we consider the notion of…

计算机科学与博弈论 · 计算机科学 2022-07-15 Argyrios Deligkas , Michail Fasoulakis , Evangelos Markakis

We study a distributed approach for seeking a Nash equilibrium in $n$-cluster games with strictly monotone mappings. Each player within each cluster has access to the current value of her own smooth local cost function estimated by a…

计算机科学与博弈论 · 计算机科学 2021-07-28 Tatiana Tatarenko , Jan Zimmermann , Jürgen Adamy

Distributed Nash equilibrium seeking of aggregative games is investigated and a continuous-time algorithm is proposed. The algorithm is designed by virtue of projected gradient play dynamics and distributed average tracking dynamics, and is…

最优化与控制 · 数学 2021-12-07 Shu Liang , Peng Yi , Yiguang Hong , Kaixiang Peng

Even when confronted with the same data, agents often disagree on a model of the real-world. Here, we address the question of how interacting heterogenous agents, who disagree on what model the real-world follows, optimize their trading…

数理金融 · 定量金融 2019-12-13 Philippe Casgrain , Sebastian Jaimungal

The solution to a Nash or a nonsymmetric bargaining game is obtained by maximizing a concave function over a convex set, i.e., it is the solution to a convex program. We show that each 2-player game whose convex program has linear…

计算机科学与博弈论 · 计算机科学 2015-05-13 Vijay V. Vazirani

In an $\epsilon$-Nash equilibrium, a player can gain at most $\epsilon$ by unilaterally changing his behaviour. For two-player (bimatrix) games with payoffs in $[0,1]$, the best-known$\epsilon$ achievable in polynomial time is 0.3393. In…

计算机科学与博弈论 · 计算机科学 2014-10-02 Argyrios Deligkas , John Fearnley , Rahul Savani , Paul Spirakis

Examining the behavior of multi-agent systems is vitally important to many emerging distributed applications - game theory has emerged as a powerful tool set in which to do so. The main approach of game-theoretic techniques is to model…

计算机科学与博弈论 · 计算机科学 2024-06-03 Rohit Konda , Rahul Chandan , Jason Marden

In this paper we focus on noncooperative games with uncertain constraints coupling the agents' decisions. We consider a setting where bounded deviations of agents' decisions from the equilibrium are possible, and uncertain constraints are…

最优化与控制 · 数学 2023-11-28 George Pantazis , Filiberto Fele , Kostas Margellos

We use techniques from the statistical mechanics of disordered systems to analyse the properties of Nash equilibria of bimatrix games with large random payoff matrices. By means of an annealed bound, we calculate their number and analyse…

无序系统与神经网络 · 物理学 2009-10-31 Johannes Berg , Martin Weigt

We introduce a new non-zero-sum game of optimal stopping with asymmetric exercise opportunities. Given a stochastic process modelling the value of an asset, one player observes and can act on the process continuously, while the other player…

概率论 · 数学 2024-05-16 José Luis Pérez , Neofytos Rodosthenous , Kazutoshi Yamazaki

In this paper, we study the problem of learning the set of pure strategy Nash equilibria and the exact structure of a continuous-action graphical game with quadratic payoffs by observing a small set of perturbed equilibria. A…

计算机科学与博弈论 · 计算机科学 2019-11-12 Adarsh Barik , Jean Honorio

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…

数据结构与算法 · 计算机科学 2015-02-26 Rachel Cummings , Michael Kearns , Aaron Roth , Zhiwei Steven Wu

We study Bayesian coordination games where agents receive noisy private information over the game's payoffs, and over each others' actions. If private information over actions is of low quality, equilibrium uniqueness obtains in a manner…

综合经济学 · 经济学 2021-11-23 Dominik Grafenhofer , Wolfgang Kuhle

Consider a 2-player normal-form game repeated over time. We introduce an adaptive learning procedure, where the players only observe their own realized payoff at each stage. We assume that agents do not know their own payoff function, and…

计算机科学与博弈论 · 计算机科学 2013-06-13 Mario Bravo , Mathieu Faure

In this paper, Nash equilibrium seeking among a network of players is considered. Different from many existing works on Nash equilibrium seeking in non-cooperative games, the players considered in this paper cannot directly observe the…

最优化与控制 · 数学 2017-03-28 Maojiao Ye , Guoqiang Hu

This paper is devoted to a high-dimensional mixed leadership stochastic differential game on a finite horizon in feedback information mode, where the control variables enter into the diffusion term of state equation. A verification theorem…

最优化与控制 · 数学 2022-11-28 Qi Huang , Jingtao Shi

This paper models a two-agent economy with production and appropriation as a noncooperative dynamic game, and determines its closed-form Markovian Nash equilibrium. The analysis highlights the para-metric conditions that tip the economy…

理论经济学 · 经济学 2023-04-05 Julio Huato

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…

计算机科学与博弈论 · 计算机科学 2026-01-30 Mao Fabrice Djete , Nizar Touzi
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