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Traditional NBA player evaluation metrics are based on scoring differential or some pace-adjusted linear combination of box score statistics like points, rebounds, assists, etc. These measures treat performances with the outcome of the game…

应用统计 · 统计学 2023-09-21 Sameer K. Deshpande , Shane T. Jensen

This article studies the value of information in route choice decisions when a fraction of players have access to high accuracy information about traffic incidents relative to others. To model such environments, we introduce a Bayesian…

计算机科学与博弈论 · 计算机科学 2016-03-30 Jeffrey Liu , Saurabh Amin , Galina Schwartz

In Briata, Dall'Aglio and Fragnelli (2012), the authors introduce a cooperative game with transferable utility for allocating the gain of a collusion among completely risk-averse agents involved in the fair division procedure introduced by…

最优化与控制 · 数学 2021-08-31 Federica Briata , Andrea Dall'Aglio , Marco Dall'Aglio , Vito Fragnelli

Additive feature explanations using Shapley values have become popular for providing transparency into the relative importance of each feature to an individual prediction of a machine learning model. While Shapley values provide a unique…

机器学习 · 计算机科学 2021-12-21 Thomas W. Campbell , Heinrich Roder , Robert W. Georgantas , Joanna Roder

Weighted voting games apply to a wide variety of multi-agent settings. They enable the formalization of power indices which quantify the coalitional power of players. We take a novel approach to the study of the power of big vs.~small…

计算机科学与博弈论 · 计算机科学 2021-09-28 Yotam Gafni , Ron Lavi , Moshe Tennenholtz

We revisit the question of modeling incomplete information among 2 Bayesian players, following an ex-ante approach based on values of zero-sum games. $K$ being the finite set of possible parameters, an information structure is defined as a…

最优化与控制 · 数学 2019-04-02 Fabien Gensbittel , Marcin Peski , Jérôme Renault

Decisions in a shareholder meeting or a legislative committee are often modeled as a weighted game. Influence of a member is then measured by a power index. A large variety of different indices has been introduced in the literature. This…

计算机科学与博弈论 · 计算机科学 2018-05-08 Sascha Kurz

Mean-payoff games are important quantitative models for open reactive systems. They have been widely studied as games of full observation. In this paper we investigate the algorithmic properties of several sub-classes of mean-payoff games…

计算机科学与博弈论 · 计算机科学 2017-10-10 Paul Hunter , Arno Pauly , Guillermo A. Pérez , Jean-François Raskin

We consider discrete time partially observable zero-sum stochastic game with average payoff criterion. We study the game using an equivalent completely observable game. We show that the game has a value and also we come up with a pair of…

最优化与控制 · 数学 2014-09-16 Subhamay Saha

A recurring debate in the philosophy of statistics concerns what, exactly, should count as a measure of evidence for or against a given hypothesis. P-values, likelihood ratios, and Bayes factors all have their defenders. In this paper we…

统计方法学 · 统计学 2026-03-26 Ben Chugg , Aaditya Ramdas , Peter Grünwald

This thesis presents some geometric insights into three different types of two player prediction games -- namely general learning task, prediction with expert advice, and online convex optimization. These games differ in the nature of the…

机器学习 · 计算机科学 2018-05-23 Parameswaran Kamalaruban

Following the work of Lloyd Shapley on the Shapley value, and tangentially the work of Guillermo Owen, we offer an alternative non-probabilistic formulation of part of the work of Robert J. Weber in his 1978 paper "Probabilistic values for…

理论经济学 · 经济学 2019-05-13 Jacob North Clark , Stephen Montgomery-Smith

We introduce a new class of games where each player's aim is to randomise her strategic choices in order to affect the other players' expectations aside from her own. The way each player intends to exert this influence is expressed through…

计算机科学与博弈论 · 计算机科学 2014-04-04 Lluís Godo , Enrico Marchioni

The notion of p-value is a fundamental concept in statistical inference and has been widely used for reporting outcomes of hypothesis tests. However, p-value is often misinterpreted, misused or miscommunicated in practice. Part of the issue…

统计方法学 · 统计学 2020-02-03 Sifan Liu , Regina Liu , Min-ge Xie

In networked communications nodes choose among available actions and benefit from exchanging information through edges, while continuous technological progress fosters system functionings that increasingly often rely on cooperation. Growing…

计算机科学与博弈论 · 计算机科学 2018-09-10 Giovanni Rossi

Traditional interpretations of probability, whether frequentist or subjective, make no reference to the concept of energy. In this paper, we propose that assigning hypothetical energy levels to the outcomes of a random variable can yield…

物理与社会 · 物理学 2025-05-29 Yair Neuman , Yochai Cohen

Information in the form of data, which can be stored and transferred between users, can be viewed as an intangible commodity, which can be traded in exchange for money. Determining the fair price at which a string of data should be traded…

统计力学 · 物理学 2024-09-11 Luca Gamberi , Alessia Annibale , Pierpaolo Vivo

Shapley values originated in cooperative game theory but are extensively used today as a model-agnostic explanation framework to explain predictions made by complex machine learning models in the industry and academia. There are several…

机器学习 · 统计学 2024-04-15 Lars Henry Berge Olsen , Ingrid Kristine Glad , Martin Jullum , Kjersti Aas

The game-theoretic notion of the semivalue offers a popular framework for credit attribution and data valuation in machine learning. Semivalues have been proposed for a variety of high-stakes decisions involving data, such as determining…

机器学习 · 计算机科学 2025-06-17 Hannah Diehl , Ashia C. Wilson

"How much is my data worth?" is an increasingly common question posed by organizations and individuals alike. An answer to this question could allow, for instance, fairly distributing profits among multiple data contributors and determining…

机器学习 · 计算机科学 2023-03-07 Ruoxi Jia , David Dao , Boxin Wang , Frances Ann Hubis , Nick Hynes , Nezihe Merve Gurel , Bo Li , Ce Zhang , Dawn Song , Costas Spanos