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#11. FastSHAP: Real-Time Shapley Value Estimation - arXiv

Shapley values are widely used to explain black-box models, but they are costly to calculate because they require many model evaluations. We ...

#12. Shapley values - MATLAB - MathWorks

The Shapley value of a feature for a query point is the contribution of the feature to the deviation from the average prediction. For a query point, the sum of ...

#13. Shapley Value | SpringerLink

In a similar way, one is interested in evaluating a game; that is, measuring the value of each player in the game. Keywords. Game Theory Coalition Structure ...

#14. Shapley value | game theory | Britannica

Other articles where Shapley value is discussed: Lloyd Shapley: …to game theory was the Shapley value, which he devised in 1953. In a cooperative game (that ...

#15. (PDF) Transversality of the Shapley value - ResearchGate

PDF | A few applications of the Shapley value are described. The main choice criterion is to look at quite diversified fields, to appreciate how wide is.

#16. Introduction to the Shapley value (Chapter 1) - Cambridge ...

There he proposed that it might be possible to evaluate, in a numerical way, the “value” of playing a game. The particular function he derived for this purpose, ...

#17. Shapley Value Regression

Shapley Value Regression. Jingyi Liang. The basic idea of calculating the importance of attributes in a linear regression is according to the coefficients ...

#18. Bargaining Foundations of Shapley Value - jstor

Shapley value is no longer achieved. KEYWORDS: Noncooperative bargaining, stationary subgame perfect Nash equilibrium, games in characteristic function form ...

#19. Handbook of the Shapley Value - 1st Edition - Routledge

Handbook of the Shapley Value contains 24 chapters and a foreword written by Alvin E. Roth, who was awarded the Nobel Memorial Prize in Economic Sciences ...

#20. 7-3 The Shapley Value - Week 7: Coalitional Games | Coursera

Video created by Stanford University, The University of British Columbia for the course "Game Theory". Transferable utility cooperative games, Shapley value ...

#21. Ipsos Encyclopedia - Shapley Value

The Shapley Value is a solution concept (formal rule for predicting how a game will be played) in cooperative game (with transferable utility) theory.

#22. The Shapley value of coalitions to other coalitions - Nature

The Shapley value for an n-person game is decomposed into a 2 n × 2 n value matrix giving the value of every coalition to every other ...

#23. The three wives problem and Shapley value | Cairn.info

7The Shapley value (Shapley 1953), which is a tool developed by the branch of economics (and applied mathematics) known as game theory, can be used to ...

#24. Shapley value analysis | Ads Data Hub | Google Developers

The Shapley value method is an algorithm that assigns credit to numerous advertising channels and touchpoints based on their modeled contribution to ...

#25. Handbook of the Shapley Value - Taylor & Francis Online

Shapley value —one of the most famous tools of the cooperative. (non-antagonistic) game theory. It was introduced by Lloyd. Shapley in 1953 (Shapley 1953), ...

#26. Partition function form game Shapley value - World Scientific

Different axiomatizations of the Shapley value for TU games can be found in the literature. The Shapley value has been generalized in several ways to the ...

#27. Shapley Value Confidence Intervals for Attributing Variance ...

Under a weak assumption that the joint distribution is pseudo-elliptical, we obtain the asymptotic normality of the Shapley values. We then ...

#28. Text S1: The Axiomatic Basis of the Shapley Value - PLOS

The Shapley value is the only efficient value that satisfies the three following axioms: Axiom 1 (Symmetry) If i and j are interchangeable in game v then γi(v) ...

#29. The Privacy Protection for Shapley Value - IEEE Xplore

We use the Paillier homomorphic encryption system to re-design the Shapley value algorithm which is under the privacy protection, and to ensure that the ...

#30. The grey Shapley value: an axiomatization - IOPscience

In this paper, we deal with an axiomatization of the grey Shapley value. We introduce the Banzhaf value and the egalitarian rule by using cooperative grey ...

#31. A New Axiomatization of the Shapley Value - Brown University

In other words, Shapley's axiomatic result survives if one replaces his additivity axiom by a weaker axiom that does not rule out as many values. Shapley's core ...

#32. What is Shapley Value | IGI Global

What is Shapley Value? Definition of Shapley Value: A game theory concept aimed at the 'fair' allocation of the collective costs or profits (savings) ...

#33. Modification of shapley value and its implementation in ...

The use of Shapley value as a concept for co-operative games yielded a solution that was satisfactory for 4 lesser importers and not satisfactory for the ...

#34. An application of the Shapley value to the analysis of co ...

We study the problem of identifying relevant genes in a co-expression network using a (cooperative) game theoretic approach. The Shapley value of a ...

#35. Shapley Values - C3 AI

The Shapley value is computed by taking the average of difference from all combinations. Essentially, the Shapley value is the average marginal contribution of ...

#36. Matrix Expression of Shapley Value in Graphical Cooperative ...

Then, a simple matrix formula is provided to calculate the Shapley value of graphical cooperative games. Finally, some practical examples ...

#37. Shapley Value: its Algorithms and Application to Supply ...

Shapley Value provides a solution to a cooperative game of n players that is both fair and stable. Yet the calculation of this value is combinatorial in ...

#38. The Shapley Value - CiteSeerX

To promote an understanding of the importance of Shapley's (1953) paper on the value, we shall start nine years earlier with the seminal book by von Neumann ...

#39. Towards Efficient Data Valuation Based on the Shapley Value

Towards Efficient Data Valuation Based on the Shapley Value. Ruoxi Jia, David Dao, Boxin Wang, Frances Ann Hubis, Nick Hynes, Nezihe Merve Gürel, Bo Li, ...

#40. The Shapley Value and the Core

The Shapley Value. The Core. Definition. Transferable utility assumption: the payoffs to a coalition may be freely redistributed among its members.

#41. 游戏理论之Shapley Value（Shapley值） - CSDN博客

Shapley Value 其实是求累加贡献（marginal contribution）的均值。 ... 对于所有能够形成全集N的序列，求其中关于元素 x i x_i xi​的累加贡献，然后取均值即 ...

#42. Shapley Value - EconPapers - RePEc

Shapley Value. Sergiu Hart (hart@huji.ac.il). Discussion Paper Series from The Federmann Center for the Study of Rationality, the Hebrew University, ...

#43. Shapley Value - Publications - Faculty & Research - Harvard ...

We examine a solution concept, called the “value," for n-person strategic games. In applications, the value provides an a-priori assessment of the monetary ...

#44. The Shapley value

and of coalitions: an application of the Shapley value. 175. Robert J. Aumann and Roger B. Myerson. IV Large games. 13 Values of large finite games.

#45. Shapley Value Sampling - Captum · Model Interpretability for ...

A perturbation based approach to compute attribution, based on the concept of Shapley Values from cooperative game theory. This method involves taking a ...

#46. Sobol' indices and Shapley value - Stanford Statistics

Sobol' indices and Shapley value. ∗. Art B. Owen. April 2014; Original: September 2013. Abstract. Global sensitivity analysis measures the importance of ...

#47. Communications to the Editor—A Note on the Shapley Value

Ph.D. thesis, Department of Mathematics, Princeton University, Shapley considers a modification of his power index. The modified values are introduced via ...

#48. What is Shapley value regression and how does one ...

The scheme of Shapley value regression is simple. Suppose z is the dependent variable and x1, x2, ... , xk ∈ X are the predictor variables, which may have ...

#49. Using the SHAPLEY value approach to variance ...

Using the SHAPLEY value approach to variance decomposition in strategy research: Diversification, internationalization, and corporate group ...

#50. COOPERATIVE GAMES: the SHAPLEY VALUE

COOPERATIVE GAMES: the SHAPLEY VALUE. The description of a cooperative game is still in terms of a characteristic function which specifies for every group ...

#51. Shapley Values and Meta-Explanations for Probabilistic ...

Shapley Values and Meta-Explanations for Probabilistic Graphical Model Inference · Yifei Liu · Chao Chen · Yazheng Liu · Xi Zhang · Sihong Xie.

#52. Approximating the Shapley Value via Multi-Issue Decomposition

parkes@eecs.harvard.edu. ABSTRACT. The Shapley value provides a fair method for the division of value in coalitional games. Motivated by the application.

#53. Shapley value for differential network games: Theory and ...

This paper presents a time-consistent dynamic Shapley value imputation for a class of differential network games. A novel form for measuring the worth of ...

#54. Welcome to the SHAP documentation — SHAP latest ...

SHAP (SHapley Additive exPlanations) is a game theoretic approach to ... with local explanations using the classic Shapley values from game theory and their ...

#55. The Explanation Game Explaining ML models with Shapley ...

Shapley values are unique under four simple axioms. ○ Dummy: A player that doesn't contribute to any subset of players must receive zero attribution.

#56. 合作博弈论：Shapley value - 知乎专栏

而合作博弈论中，Shapley value被用来公平地分配信用或贡献给每个玩家(参与者)。 下面简要介绍一下博弈论和Shapley值是如何应用到纸牌游戏中的: 你首先要 ...

#57. Quantifying the limits of the Shapley value for explanations

We propose expressing the information lost by the computation of Shapley values with a residual which quantify the extent to which interaction effects are ...

#58. Shapley Value - Explained - The Business Professor, LLC

What is Shapley Value? The Shapely Value is a gaming theory that posits that gains and losses (costs) of a game should be distributed fairly ...

#59. An analysis of the Shapley Value and its Uncertainty for the ...

The Shapley value provides a unique solution to coalition games and is used to evaluate a player's prospects of playing a game. Although it provides.

#60. Shapley value allocation methodology: a specific example

(Extract from page 77 of BIS Quarterly Review, September 2009). This box illustrates the Shapley value allocation methodology by reference ...

#61. Risk Attribution Using the Shapley Value: Methodology and ...

Abstract. We present the Shapley Value as a methodology for risk attribution and use it to derive measures of banks' systemic importance.

#62. [PDF] Absolute Shapley Value | Semantic Scholar

Shapley value is a concept in cooperative game theory for measuring the contribution of each participant, which was named in honor of Lloyd ...

#63. Shapley value and extended efficiency - IIM Calcutta

Keywords: Shapley value, extended efficiency, coalitional monotonicity, marginal mono- tonicity, symmetry. JEL Classification: C71, D60. Introduction.

#64. The proportional Shapley value and an application - Archive ...

Moreover, our value inherits several well-known properties of the weighted Shapley values. Keywords: (Weighted) Shapley value, proportionality, ...

#65. Quantifying the limits of the Shapley value for explanations

modeling settings based on the value of the residu- als, and demonstrate that they capture information about model predictions that Shapley values can-.

#66. Chapter 6: Core, Shapley Value, Nucleolus - SIAM epubs

... such as the core, the Shapley value, and the nucleolus. As for the imputation set, these solution concepts yield stable allocation rules.

#67. Shapley值法_百度百科

但Shapley值法的利益分配方案尚未考慮聯盟成員的風險分擔因素，實質上隱含着各盟員風險分擔均等的假設，因此，對於聯盟成員風險分擔不等或 ... Shapley Value Method.

#68. Shapley_value (Shapley Value) in GameTheoryAllocation

Characters to indicate if the game is a cost or profit game. The possibles values are "cost" or "profit" . Value. A vector with the allocation that Shapley ...

#69. The Shapley Value of Coalitions to Other Coalitions - UiS Brage

The Shapley value for an n-person game is decomposed into a 2n × 2n value matrix giving the value of every coalition to every other coalition.

#70. A Fair Solution to the Value Creation Puzzle in Transfer Pricing?

The OECD's value creation approach;; How the Shapley value as an economic solution reflects the OECD's valuation creation principle; and; How ...

#71. Computing Shapley Values, Manipulating Value Division ...

Computing Shapley Values, Manipulating Value Division Schemes, and Checking. Core Membership in Multi-Issue Domains. Vincent Conitzer and Tuomas Sandholm.

#72. Using the Shapley value of stocks as systematic risk - Emerald ...

The idea is that portfolios can be viewed as cooperative games played by assets aiming at minimizing risk. With the Shapley value, investors can ...

#73. Ranking wines using the Shapley value - Vox EU

If a new system of game-theory-based rating and ranking using the Shapley value were implemented, wine tasting might.

#74. Asymmetric Shapley values: incorporating causal knowledge ...

Asymmetric Shapley values: incorporating causal knowledge into model-agnostic explainability. Christopher Frye chris.f@faculty.ai. Faculty. Colin Rowat.

#75. The Shapley Value

n! the Shapley value is a fair payoff distribution based on marginal contributions of agents averaged over joining or- ders of the coalition. Stéphane Airiau ( ...

#76. Shapley Values - SAS Help Center

Shapley values are used to explain the contribution of each variable to the prediction of a single observation, called a query (Molnar 2019) ...

#77. Introduction to ”A characterization of the Shapley value for fair ...

”A characterization of the Shapley value for fair reordering problems”. R09323040 蘇柏睿. 1 What is the question? 在已經有初始隊列(例如事先抽號碼牌) 的排隊 ...

#78. Difference between Shapley values and SHAP for ...

SHAP combines the local interpretability of other agnostic methods (s.a. LIME where a model f(x) is LOCALLY approximated with an explainable ...

#79. Determinants of Inequality in Selected SEE Countries - Vienna ...

We apply inequality decomposition methods based on regression analysis and variants of the Shapley value approach. We also present results from related ...

#80. The Shapley Value and Games with Hierarchies - SSRN

The Shapley Value and Games with Hierarchies. Tinbergen Institute Discussion Paper 2019-064/II. 30 Pages Posted: 17 Sep 2019.

#81. Applying the Shapley value method to marketing research

The Shapley value, named in honor of Lloyd Shapley, who introduced it in 1953, is a solution concept in cooperative game theory. To each cooperative game it ...

#82. Data analysis with Shapley values for automatic subject ...

The small RF Data Shapley value might be associated with good cognitive test performances and high brain volumes. This pattern is less ...

#83. 模型解释–Shapley Values - 简书

摘要这一篇文章主要介绍模型解释的一种方法, Shapley Value. 这里会介绍这种方法的原理, 对其公式进行介绍. 同时会举两个例子来进行详细的解释.

#84. A Unified Approach to Interpreting Model Predictions

predictions, SHAP (SHapley Additive exPlanations). SHAP assigns each feature an importance value for a particular prediction. Its novel components include: ...

#85. 64 The Shapley Value

64 The Shapley Value. 1 Introduction. The purpose of this chapter is to present an important solution concept for cooperative games, due to Lloyd S. Shapley ...

#86. The Shapley Value of Tuples in Query Answering - DROPS

Abstract. We investigate the application of the Shapley value to quantifying the contribution of a tuple to a query answer.

#87. Complexity of Computing the Shapley Value in Games with ...

We study the complexity of computing the Shapley value in games with externalities. We focus on two representations based on marginal ...

#88. Priority-regarding Shapley values

as special cases of our priority-regarding Shapley values by imposing additional axioms. Keywords: Cooperative game, Priority, Contribution, Shapley value.

#89. What are Shapley values (in game theory)? - Statistical Odds ...

Shapley values are a cornerstone of interpretable machine learning, a way to attribute how much each feature played a role in a model's ...

#90. Lloyd S. Shapley - Prize presentation - NobelPrize.org

Shapley studied mathematics at Harvard University, although his education was ... One of the early works was this thing which led to the Shapley Value.

#91. 8 Shapley Additive Explanations (SHAP) for Average Attributions

They also showed that Shapley values could be presented as a unification of a collection of different commonly used techniques for model explanations (Lundberg ...

#92. Variations on the Shapley value

VARIATIONS ON THE SHAPLEY VALUE. Dov Monderer* and Dov Samet**. HandBook of Game Theory No. III (Ed. R.J. Aumann and S. Hart). Elsevier Science, Amsterdam.

#93. Shapley Value

Gain sharing in a horizontal collaboration among shippers: implementing the Shapley value. When a consortium of shippers has been established, ...

#94. The Shapley Value in the Queueing Problem - Routledge ...

Handbook of the Shapley Value contains 24 chapters and a foreword written by Alvin E. Roth, who was awarded the Nobel Memorial Prize in Economic Sciences ...

#95. An Application of Shapley Value Cost Allocation to Liquidity ...

An Application of Shapley Value Cost Allocation to Liquidity Savings Mechanisms ... Liquidity demands in real-time gross settlement payment systems can be ...