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In practical applications, decision-makers with heterogeneous dynamics may be engaged in the same decision-making process. This motivates us to study distributed Nash equilibrium seeking for games in which players are mixed-order (first-…

最优化与控制 · 数学 2022-09-05 Maojiao Ye , Lei Ding , Jizhao Yin

Global trade of material goods involves the potential to create pathways for the spread of infectious pathogens. One trade sector in which this synergy is clearly critical is that of wildlife trade networks. This highly complex system…

理论经济学 · 经济学 2025-04-10 John S. McAlister , Jesse L. Brunner , Danielle J. Galvin , Nina H. Fefferman

Except for special classes of games, there is no systematic framework for analyzing the dynamical properties of multi-agent strategic interactions. Potential games are one such special but restrictive class of games that allow for tractable…

计算机科学与博弈论 · 计算机科学 2023-10-03 Ozan Candogan , Asuman Ozdaglar , Pablo A. Parrilo

With the advance of complex large-scale networks, it is becoming increasingly important to understand how selfish and spatially distributed individuals will share network resources without centralized coordinations. In this paper, we…

网络与互联网体系结构 · 计算机科学 2012-06-05 Richard Southwell , Jianwei Huang , Biying Shou

Imitation dynamics for population games are studied and their asymptotic properties analyzed. In the considered class of imitation dynamics - that encompass the replicator equation as well as other models previously considered in…

系统与控制 · 计算机科学 2021-03-02 Lorenzo Zino , Giacomo Como , Fabio Fagnani

This paper studies the last-iterate convergence properties of the exponential weights algorithm with constant learning rates. We consider a repeated interaction in discrete time, where each player uses an exponential weights algorithm…

人工智能 · 计算机科学 2024-07-10 Maurizio d'Andrea , Fabien Gensbittel , Jérôme Renault

Mechanism design for fully strategic agents commonly assumes broadcast nature of communication between agents of the system. Moreover, for mechanism design, the stability of Nash equilibrium (NE) is demonstrated by showing convergence of…

计算机科学与博弈论 · 计算机科学 2017-04-05 Abhinav Sinha , Achilleas Anastasopoulos

We present a network influence game that models players strategically seeding the opinions of nodes embedded in a social network. A social learning dynamic, whereby nodes repeatedly update their opinions to resemble those of their…

计算机科学与博弈论 · 计算机科学 2016-09-23 Samuel D. Johnson , Jemin George , Raissa M. D'Souza

We introduce a class of cooperative games induced by weighted directed graphs. Specifically, the coalitional value combines an internal interaction term given by the induced subgraph game with an external component based on minimal incoming…

计算机科学与博弈论 · 计算机科学 2026-05-19 David Ryzák , Tomáš Kroupa

We study an optimal targeting problem for super-modular games with binary actions and finitely many players. The considered problem consists in the selection of a subset of players of minimum size such that, when the actions of these…

计算机科学与博弈论 · 计算机科学 2020-09-22 Giacomo Como , Stéphane Durand , Fabio Fagnani

This work considers stochastic differential games with a large number of players, whose costs and dynamics interact through the empirical distribution of both their states and their controls. We develop a new framework to prove convergence…

概率论 · 数学 2022-03-24 Mathieu Laurière , Ludovic Tangpi

We extend the study of learning in games to dynamics that exhibit non-asymptotic stability. We do so through the notion of uniform stability, which is concerned with equilibria of individually utility-seeking dynamics. Perhaps surprisingly,…

计算机科学与博弈论 · 计算机科学 2025-10-17 Geelon So , Yi-An Ma

This paper explores distributed Nash equilibrium seeking problems for games in which the players have limited knowledge on other players' actions. In particular, the involved players are considered to be high-order integrators with their…

最优化与控制 · 数学 2021-08-17 Maojiao Ye , Lei Ding , Shengyuan Xu

In order to coordinate players in a game must first identify a target pattern of behaviour. In this paper we investigate the difficulty of identifying prominent outcomes in two kinds of binary action coordination problems in social…

理论经济学 · 经济学 2023-11-21 Argyrios Deligkas , Eduard Eiben , Gregory Gutin , Philip R. Neary , Anders Yeo

We study the consequences of adopting products by agents who form a social network. To this end we use the threshold model introduced in Apt and Markakis, arXiv:1105.2434, in which the nodes influenced by their neighbours can adopt one out…

社会与信息网络 · 计算机科学 2012-11-30 Sunil Simon , Krzysztof R. Apt

In response to a change, individuals may choose to follow the responses of their friends or, alternatively, to change their friends. To model these decisions, consider a game where players choose their behaviors and friendships. In…

社会与信息网络 · 计算机科学 2020-06-23 Anton Badev

This paper presents a model of network formation in repeated games where the players adapt their strategies and network ties simultaneously using a simple reinforcement-learning scheme. It is demonstrated that the coevolutionary dynamics of…

多智能体系统 · 计算机科学 2013-08-06 Ardeshir Kianercy , Aram Galstyan

Evolutionary game theory predicts that cooperation in social dilemma games is promoted when agents are connected as a network. However, when networks are fixed over time, humans do not necessarily show enhanced mutual cooperation. Here we…

物理与社会 · 物理学 2018-02-07 Takahiro Ezaki , Naoki Masuda

This paper presents a general closed graph property for (randomized strategy) Nash equilibrium correspondence in large games. In particular, we show that for any large game with a convergent sequence of fiinite-player games, the limit of…

最优化与控制 · 数学 2024-10-30 Enxian Chen , Bin Wu , Hanping Xu

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