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Systems of competing agents can often be modeled as games. Assuming rationality, the most likely outcomes are given by an equilibrium (e.g. a Nash equilibrium). In many practical settings, games are influenced by context, i.e. additional…

机器学习 · 计算机科学 2024-06-13 Daniel McKenzie , Howard Heaton , Qiuwei Li , Samy Wu Fung , Stanley Osher , Wotao Yin

How should cities invest to improve social welfare when individuals respond strategically to local conditions? We model this question using a game-theoretic version of Schelling's bounded neighbourhood model, where agents choose…

计算机科学与博弈论 · 计算机科学 2026-01-14 Martin Gairing , Adrian Vetta , Zhanzhan Zhao

We provide an in-depth study of Nash equilibria in multi-objective normal form games (MONFGs), i.e., normal form games with vectorial payoffs. Taking a utility-based approach, we assume that each player's utility can be modelled with a…

计算机科学与博弈论 · 计算机科学 2022-07-19 Willem Röpke , Diederik M. Roijers , Ann Nowé , Roxana Rădulescu

We introduce an analytical model to study the evolution towards equilibrium in spatial games, with `memory-aware' agents, i.e., agents that accumulate their payoff over time. In particular, we focus our attention on the spatial Prisoner's…

物理与社会 · 物理学 2016-03-23 Marco Alberto Javarone

Predicting selfish behavior in public environments by considering Nash equilibria is a central concept of game theory. For the dynamic traffic assignment problem modeled by a flow over time game, in which every particle tries to reach its…

最优化与控制 · 数学 2020-07-06 Hoang Minh Pham , Leon Sering

This paper studies $n$-person simultaneous-move games with linear best response function, where individuals interact within a given network structure. This class of games have been used to model various settings, such as, public goods,…

计算机科学与博弈论 · 计算机科学 2011-06-14 Victor M. Preciado , Jaelynn Oh , Ali Jadbabaie

This paper examines a competition game whose key variables are the R&D efforts (e.g. R&D expenditures) and accumulated knowledge of firms located in a specific region. The most significant element of accumulated knowledge is knowledge…

理论经济学 · 经济学 2026-01-21 Vasilios Kanellopoulos

We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However,…

系统与控制 · 电气工程与系统科学 2020-03-17 Yue Guan , Dipankar Maity , Christopher M. Kroninger , Panagiotis Tsiotras

We are concerned with finding Nash Equilibria in agent-based multi-cluster games, where agents are separated into distinct clusters. While the agents inside each cluster collaborate to achieve a common goal, the clusters are considered to…

系统与控制 · 电气工程与系统科学 2021-02-19 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

In this paper, the problem of smart grid energy management under stochastic dynamics is investigated. In the considered model, at the demand side, it is assumed that customers can act as prosumers who own renewable energy sources and can…

计算机科学与博弈论 · 计算机科学 2017-08-08 Seyed Rasoul Etesami , Walid Saad , Narayan Mandayam , H. Vincent Poor

We investigate the sensitivity of the Nash equilibrium of constrained network aggregative games to changes in exogenous parameters affecting the cost function of the players. This setting is motivated by two applications. The first is the…

计算机科学与博弈论 · 计算机科学 2017-06-28 Francesca Parise , Asuman Ozdaglar

A player's payoff is modeled as consisting of two parts: a rational-value part and a distortion-value part. It is argued that the (total) payoff function should be used to explain and predict the behaviors of the players, while the rational…

理论经济学 · 经济学 2025-06-23 Fang-Fang Tang , Yongsheng Xu

Human cooperation depends on how accurately we infer others' motives--how much they value fairness, generosity, or self-interest from the choices they make. We model that process in binary dictator games, which isolate moral trade-offs…

神经元与认知 · 定量生物学 2025-11-12 Gregory Stanley , Jun Zhang , Rick Lewis

In this paper we study resource allocation in decentralized information local public good networks. A network is a local public good network if each user's actions directly affect the utility of an arbitrary subset of network users. We…

计算机科学与博弈论 · 计算机科学 2012-08-03 Shrutivandana Sharma , Demosthenis Teneketzis

Strategic interactions between a group of individuals or organisations can be modelled as games played on networks, where a player's payoff depends not only on their actions but also on those of their neighbours. Inferring the network…

机器学习 · 计算机科学 2022-08-19 Emanuele Rossi , Federico Monti , Yan Leng , Michael M. Bronstein , Xiaowen Dong

We apply control theoretic and optimization techniques to adaptively design incentives. In particular, we consider the problem of a planner with an objective that depends on data from strategic decision makers. The planner does not know the…

计算机科学与博弈论 · 计算机科学 2018-06-18 Lillian J. Ratliff , Tanner Fiez

Autonomous racing extends beyond the challenge of controlling a racecar at its physical limits. Professional racers employ strategic maneuvers to outwit other competing opponents to secure victory. While modern control algorithms can…

机器人学 · 计算机科学 2025-04-28 Dvij Kalaria , Chinmay Maheshwari , Shankar Sastry

Although it has been known since the 1970s that a globally optimal strategy profile in a common-payoff game is a Nash equilibrium, global optimality is a strict requirement that limits the result's applicability. In this work, we show that…

计算机科学与博弈论 · 计算机科学 2022-07-08 Scott Emmons , Caspar Oesterheld , Andrew Critch , Vincent Conitzer , Stuart Russell

In stochastic Nash equilibrium problems (SNEPs), it is natural for players to be uncertain about their complex environments and have multi-dimensional unknown parameters in their models. Among various SNEPs, this paper focuses on locally…

最优化与控制 · 数学 2022-04-06 Yuanhanqing Huang , Jianghai Hu

Continually arriving information is communicated through a network of $n$ agents, with the value of information to the $j$'th recipient being a decreasing function of $j/n$, and communication costs paid by recipient. Regardless of details…

概率论 · 数学 2010-05-27 David J. Aldous