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We propose a notion of fairness for allocation problems in which different agents may have different reservation utilities, stemming from different outside options, or property rights. Fairness is usually understood as the absence of envy,…

理论经济学 · 经济学 2020-05-12 Federico Echenique , Antonio Miralles , Jun Zhang

This work shows that the formation of a finite number of coalitions in a nonatomic network congestion game benefits everyone. At the equilibrium of the composite game played by coalitions and individuals, the average cost to each coalition…

计算机科学与博弈论 · 计算机科学 2015-03-20 Cheng Wan

This paper introduces a measure of uncertainty in the determination of the Shapley value, illustrates it with examples, and studies some of its properties. The introduced measure of uncertainty quantifies random variations in a player's…

综合数学 · 数学 2007-09-03 Vladislav Kargin

As the use of complex machine learning models continues to grow, so does the need for reliable explainability methods. One of the most popular methods for model explainability is based on Shapley values. There are two most commonly used…

机器学习 · 统计学 2024-12-18 Ilya Rozenfeld

We argue that using the Shapley value of cooperative game theory as the scheme for risk allocation among non-orthogonal risk factors is a natural way of interpreting the contribution made by each of such factors to overall portfolio risk.…

计算金融 · 定量金融 2021-03-10 Patrick S. Hagan , Andrew Lesniewski , Georgios E. Skoufis , Diana E. Woodward

Collaborative machine learning (ML) is an appealing paradigm to build high-quality ML models by training on the aggregated data from many parties. However, these parties are only willing to share their data when given enough incentives,…

机器学习 · 计算机科学 2020-10-27 Rachael Hwee Ling Sim , Yehong Zhang , Mun Choon Chan , Bryan Kian Hsiang Low

We propose in this paper a coinvestment plan between several stakeholders of different types, namely a physical network owner, operating network nodes, e.g. a network operator or a tower company, and a set of service providers willing to…

计算机科学与博弈论 · 计算机科学 2022-10-04 Rosario Patanè , Andrea Araldo , Tijani Chahed , Diego Kiedanski , Daniel Kofman

In many settings, there is an organizer who would like to divide a set of agents into $k$ coalitions, and cares about the friendships within each coalition. Specifically, the organizer might want to maximize utilitarian social welfare,…

计算机科学与博弈论 · 计算机科学 2024-08-15 Hodaya Barr , Yohai Trabelsi , Sarit Kraus , Liam Roditty , Noam Hazon

We study a basic sequential model for the discovery of winning coalitions in a simple game, well known from its use in defining the Shapley-Shubik power index. We derive in a uniform way a family of measures of collective and individual…

组合数学 · 数学 2013-07-30 Geoffrey Pritchard , Reyhaneh Reyhani , Mark C. Wilson

Horizontal agreements can fall within the scope of exemptions to antitrust competition if they are expected to create pro-consumer benefits. Inspired by such horizontal agreements, we introduce a cooperative game in which a set of transport…

最优化与控制 · 数学 2021-09-09 Loe Schlicher , Virginie Lurkin

Direct reciprocity and conditional cooperation are important mechanisms to prevent free riding in social dilemmas. But in large groups these mechanisms may become ineffective, because they require single individuals to have a substantial…

种群与进化 · 定量生物学 2014-11-05 Christian Hilbe , Arne Traulsen , Bin Wu , Martin A. Nowak

A variety of recent papers discuss the application of Shapley values, a concept for explaining coalitional games, for feature attribution in machine learning. However, the correct way to connect a machine learning model to a coalitional…

机器学习 · 计算机科学 2020-06-30 Hugh Chen , Joseph D. Janizek , Scott Lundberg , Su-In Lee

With the development of sensing and communication technologies in networked cyber-physical systems (CPSs), multi-agent reinforcement learning (MARL)-based methodologies are integrated into the control process of physical systems and…

计算机科学与博弈论 · 计算机科学 2022-06-16 Songyang Han , He Wang , Sanbao Su , Yuanyuan Shi , Fei Miao

The classical theory of efficient allocations of an aggregate endowment in a pure-exchange economy has hitherto primarily focused on the Pareto-efficiency of allocations, under the implicit assumption that transfers between agents are…

计算机科学与博弈论 · 计算机科学 2026-03-05 Mario Ghossoub , Giulio Principi , Ruodu Wang

Selective rationalization has become a common mechanism to ensure that predictive models reveal how they use any available features. The selection may be soft or hard, and identifies a subset of input features relevant for prediction. The…

计算与语言 · 计算机科学 2019-12-17 Mo Yu , Shiyu Chang , Yang Zhang , Tommi S. Jaakkola

Today's multiagent systems have grown too complex to rely on centralized controllers, prompting increasing interest in the design of distributed algorithms. In this respect, game theory has emerged as a valuable tool to complement more…

系统与控制 · 计算机科学 2020-02-19 Rahul Chandan , Dario Paccagnan , Jason R. Marden

In this work we are concerned with the design of efficient mechanisms while eliciting limited information from the agents. First, we study the performance of sampling approximations in facility location games. Our key result is to show that…

计算机科学与博弈论 · 计算机科学 2022-08-26 Ioannis Anagnostides , Dimitris Fotakis , Panagiotis Patsilinakos

We introduce a new class of games, called social contribution games (SCGs), where each player's individual cost is equal to the cost he induces on society because of his presence. Our results reveal that SCGs constitute useful abstractions…

计算机科学与博弈论 · 计算机科学 2013-08-13 Mona Rahn , Guido Schäfer

The key contribution of the paper is a comprehensive study of the egalitarian mechanism with respect to manipulation by a coalition of agents. Our main result is that the egalitarian mechanism is, in fact, peak group strategyproof : no…

计算机科学与博弈论 · 计算机科学 2011-07-25 Shyam S Chandramouli , Jay Sethuraman

Acyclicity of individual preferences is a minimal assumption in social choice theory. We replace that assumption by the direct assumption that preferences have maximal elements on a fixed agenda. We show that the core of a simple game is…

计算机科学与博弈论 · 计算机科学 2011-07-05 Masahiro Kumabe , H. Reiju Mihara
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