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Modern transformer attention is internally multi-agent -- heads compete and coordinate -- yet we train it as if it were a monolithic optimizer. We formalize this gap: cross-entropy training induces an implicit potential game among heads,…

人工智能 · 计算机科学 2026-02-03 Kushal Chakrabarti , Nirmal Balachundar

We study a game with \emph{strategic} vendors who own multiple items and a single buyer with a submodular valuation function. The goal of the vendors is to maximize their revenue via pricing of the items, given that the buyer will buy the…

计算机科学与博弈论 · 计算机科学 2014-08-04 Omer Lev , Joel Oren , Craig Boutilier , Jeffery S. Rosenschein

In this work, we provide a structural characterization of the possible Nash equilibria in the well-studied class of security games with additive utility. Our analysis yields a classification of possible equilibria into seven types and we…

计算机科学与博弈论 · 计算机科学 2022-08-05 Joe Clanin , Sourabh Bhattacharya

In cost sharing games, the existence and efficiency of pure Nash equilibria fundamentally depends on the method that is used to share the resources' costs. We consider a general class of resource allocation problems in which a set of…

计算机科学与博弈论 · 计算机科学 2015-02-05 Max Klimm , Daniel Schmand

Distributed Support Vector Machines (DSVM) have been developed to solve large-scale classification problems in networked systems with a large number of sensors and control units. However, the systems become more vulnerable as detection and…

机器学习 · 统计学 2018-03-14 Rui Zhang , Quanyan Zhu

Inspired by real world examples, e.g. the Internet, researchers have introduced an abundance of strategic games to study natural phenomena in networks. Unfortunately, almost all of these games have the conceptual drawback of being…

计算机科学与博弈论 · 计算机科学 2017-05-23 Tobias Friedrich , Sven Ihde , Christoph Keßler , Pascal Lenzner , Stefan Neubert , David Schumann

The price of anarchy (PoA) is a popular metric for analyzing the inefficiency of self-interested decision making. Although its study is widespread, characterizing the PoA can be challenging. A commonly employed approach is based on the…

计算机科学与博弈论 · 计算机科学 2021-05-26 Rahul Chandan , Dario Paccagnan , Jason R. Marden

In this paper, we introduce a game that allows one to assess the potential loss of efficiency induced by a decentralized control or local management of a global epidemic. Each player typically represents a region or a country which is…

计算机科学与博弈论 · 计算机科学 2021-06-17 Olivier Lindamulage De Silva , Samson Lasaulce , Irinel-Constantin Morărescu

We provide a strategic model of the formation of production networks that subsumes the standard general equilibrium approach. The objective of firms in our setting is to choose their supply relationships so as to maximize their profit at…

理论经济学 · 经济学 2025-05-07 Antoine Mandel , Van-Quy Nguyen , Bach Dong-Xuan

Increasing connectivity of communication networks enables large-scale distributed processing over networks and improves the efficiency for information exchange. However, malware and virus can take advantage of the high connectivity to…

最优化与控制 · 数学 2019-05-09 Yunhan Huang , Quanyan Zhu

We address the question of whether price of stability results (existence of equilibria with low social cost) are robust to incomplete information. We show that this is the case in potential games, if the underlying algorithmic social cost…

计算机科学与博弈论 · 计算机科学 2015-03-13 Vasilis Syrgkanis

The price of anarchy has become a standard measure of the efficiency of equilibria in games. Most of the literature in this area has focused on establishing worst-case bounds for specific classes of games, such as routing games or more…

计算机科学与博弈论 · 计算机科学 2022-06-09 Roberto Cominetti , Valerio Dose , Marco Scarsini

We investigate a non-cooperative game-theoretic model for the formation of communication networks by selfish agents. Each agent aims for a central position at minimum cost for creating edges. In particular, the general model (Fabrikant et…

计算机科学与博弈论 · 计算机科学 2015-06-09 Andreas Cord-Landwehr , Pascal Lenzner

This paper studies a class of network games with linear-quadratic payoffs and externalities exerted through a strictly concave interaction function. This class of game is motivated by the diminishing marginal effects with peer influences.…

最优化与控制 · 数学 2024-06-04 Jiamin Cai , Chenyue Zhang , Hoi-To Wai

Like many routing protocols, the Tor anonymity network has decentralized path selection, in clients locally and independently choose paths. As a result, network resources may be left idle, leaving the system in a suboptimal state. This is…

密码学与安全 · 计算机科学 2016-06-14 John Geddes , Mike Schliep , Nicholas Hopper

Dynamic networks are graphs in which edges are available only at specific time instants, modeling connections that change over time. The dynamic network creation game studies this setting as a strategic interaction where each vertex…

数据结构与算法 · 计算机科学 2026-03-17 Binh-Minh Bui-Xuan , Nhat-Minh Nguyen , Sébastien Tixeuil , Yukiko Yamauchi

This paper provides a comprehensive convergence analysis of the PoA of both pure and mixed Nash equilibria in atomic congestion games with unsplittable demands.

计算机科学与博弈论 · 计算机科学 2022-06-24 Zijun Wu , Rolf H. Moehring , Chunying Ren , Dachuan Xu

The Robinson-Goforth topology of swaps in adjoining payoffs elegantly arranges 2x2 ordinal games in accordance with important properties including symmetry, number of dominant strategies and Nash Equilibria, and alignment of interests.…

计算机科学与博弈论 · 计算机科学 2021-06-25 Bryan Bruns

In this paper, we study a model of network formation in large populations. Each agent can choose the strength of interaction (i.e. connection) with other agents to find a Nash equilibrium. Different from the recently-developed theory of…

最优化与控制 · 数学 2025-08-07 Gokce Dayanikli , Mathieu Lauriere

We introduce a framework for studying the effect of cooperation on the quality of outcomes in utility games. Our framework is a coalitional analog of the smoothness framework of non-cooperative games. Coalitional smoothness implies bounds…

计算机科学与博弈论 · 计算机科学 2013-07-10 Yoram Bachrach , Vasilis Syrgkanis , Eva Tardos , Milan Vojnovic